��sr!com.femlab.server.ModelFileHeader�D���%LtagstLcom/femlab/util/FlStringList;Ltypesq~LvrsntLcom/femlab/util/FlVersion;xpwsrcom.femlab.util.FlVersion��%�/B =IbuildImajorLdatetLjava/lang/String;Lextq~Lnameq~Lrcsq~L reactionExtq~L reactionNameq~xpwtq~t#COMSOL Reaction Engineering Lab 3.5tat COMSOL 3.5q~ w`t$Name: v35ap $t$Date: 2009/05/11 07:38:49 $xur[Ljava.lang.String;��V��{Gxpt modelinfotxfemtguitfem0tfem1tg2tg4tfem1770t fem1770.0q~q~tfem1785t fem1785.0q~q~tfem1783t fem1783.0q~q~uq~ q~t femstructt guistructq~q~tdrawq~tgeomtmeshtsolutiontxmeshq~ q~!q~"q~#q~ q~!q~"q~#xsrcom.femlab.api.client.ModelInfo�^���%Ldescrq~LdocURLq~[imaget[Bxpwptpxuq~ t�` COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 1756 geom on on off on on off on 0.1 t ConvCond cartesian {"Tf"} {"x","y","z"} chcc CHEM {"shlag(2,'Tf')"} 4 2 2 off _chcc Lag2 time inactive k-epsilon 1 ref off {"lm1"} ideal wall 0 0 1/kappa_chns*log(dwplus_chns)+15*0.7^(2/3)-1/(2*kappa_chns)*(1+log(kappa_chns/1e-3)) 0 0 0 0 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 273.15 273.15 Ts 400 273.15 273.15 0 1 q0 cont qw T qw qc {} {} {} {} {} {} {1,4,6,3,2,2,2} 1 1 1 {"273.15"} 1 0 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

p0

0 0 eta_chns 0 etaT_chns 0 Rs 287 0 C u0 v 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 system scalar 1 0 0.01[K]/helem_Tf_chcc 1 -1 {} {} C_chcc*etaT_chns 0 {} {} {1,2}
8.31451
ConvCond cartesian {"Ts"} {"x","y","z"} chcc2 CHEM {"shlag(2,'Ts')"} 4 2 2 off _chcc2 Lag2 time inactive None 1 ref off {"lm2"} ideal wall 0 0 0 -q0_chcc -q0_chcc 0 0 273.15 273.15 273.15 273.15 400 300 0 1 cont q0 q q T T {} {} {} {} {} {} {1,1,1,3,5,6,2} 1 1 1 {"273.15"} {"400"} 0 1 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

0

0 0 0 0 Rs 287 0 C 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 0 gls 0.25 scalar 0 0.01[K]/helem_Ts_chcc2 1 -1 {} {} 0 {} {} {1,2}
8.31451
NavierStokes cartesian {"u","v","p","logk","logd","logw","phi","psi","nxw","nyw"} {"x","y","z"} chns CHEM {"shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')"} 4 2 2 1 2 off _chns Lagp2p1 time Off On k-epsilon Off Off Off Off ref off {"lm3","lm4","lm5","lm6","lm7","lm8","lm9","lm10"} ideal 0 0 {1,1,1,1,1,1} walltype inlet outlet walltype int uv p slip wall wall wall wall ntotstress totstress cont U0in 0 0 0 0 {"0","0"} {"0","0"} {"0","0"} {"0","0"} {"0","0"} 1 0 0 0 0 0 0.005 0.005 10 LTIT open 1 0.01 0.05 dw dw dw dwplus dw h/2 100 {} {} {} {} {} 0 0 0 1 0 1 velocity 0 0 0 pi/2 h {1,2,3,4,5,5,5} 12345 12345 11211 11211 11211 11211 {"0","0","0","-8","-8","0","0","0","-8","-8"} {"0","0","0","-8","-8","0","0","0","-8","-8"} 1 0 default Solid domain rho_chcc 1 1 0 0 {} {} 1 0 0 0 0 power 0 1 0 1 0 Tf 1 1 0 0 0 0.5 1 gls 0.5 1 sc 0.35 0 1 0.1 0 navierstokes usesELM 0 Lagp2p1 0 Lagp2p1 0 {"0","0"} {"0","0"} 0 0 0.25 1 gls 0.5 1 1 Lagp2p1 nonisoT isoT 1 1 1 1 1 1 1 hmax_chns*0.5 0 1 {1,2} 10 1.44 1.92 1.0 1.3 0.09 5.5 0.42 {"x","y"} {"ref"} {"shlag(2,'Tf')","shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')","shlag(2,'Ts')"} 4 2 2 1 2 on 1
general
SI {"0","0","0","0","0","0","0"} 1111211 {1,1} 123456 7 1111211 1111211 1111211 1111211 {"273.15","0","0","0","0","-8","-8"} {"0","400","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-test(nojac(C_Tf_chcc*rho_Tf_chcc*u_Tf_chcc)*Tfx+nojac(C_Tf_chcc*rho_Tf_chcc*v_Tf_chcc)*Tfy-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfxx-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfyy)*taue_Tf_chcc*res_Tf_chcc","0","gls_chns+shock_capt_chns","0","0","-test(-nojac(Dlogk_chns)*(logkxx+nojac(logkx)*logkx+logkyy+nojac(logky)*logky)+nojac(rho_chns)*(nojac(u)*logkx+nojac(v)*logky))*tau_logk_chns*res_logk_chns","-test(-nojac(Dlogd_chns)*(logdxx+nojac(logdx)*logdx+logdyy+nojac(logdy)*logdy)+nojac(rho_chns)*(nojac(u)*logdx+nojac(v)*logdy))*tau_logd_chns*res_logd_chns"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tfx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tfy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tfx)","-d(-Dlogk_chns*logky,Tfx)","-d(-Dlogk_chns*logkx,Tfy)","-d(-Dlogk_chns*logky,Tfy)"}{"-d(-Dlogd_chns*logdx,Tfx)","-d(-Dlogd_chns*logdy,Tfx)","-d(-Dlogd_chns*logdx,Tfy)","-d(-Dlogd_chns*logdy,Tfy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tsx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tsy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tsx)","-d(-Dlogk_chns*logky,Tsx)","-d(-Dlogk_chns*logkx,Tsy)","-d(-Dlogk_chns*logky,Tsy)"}{"-d(-Dlogd_chns*logdx,Tsx)","-d(-Dlogd_chns*logdy,Tsx)","-d(-Dlogd_chns*logdx,Tsy)","-d(-Dlogd_chns*logdy,Tsy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,uy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,uy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(uy+vx),ux)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)","-d(-(eta_chns+etaT_chns)*(uy+vx),uy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),ux)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(vx+uy),uy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)"}{"0"}{"-d(-Dlogk_chns*logkx,ux)","-d(-Dlogk_chns*logky,ux)","-d(-Dlogk_chns*logkx,uy)","-d(-Dlogk_chns*logky,uy)"}{"-d(-Dlogd_chns*logdx,ux)","-d(-Dlogd_chns*logdy,ux)","-d(-Dlogd_chns*logdx,uy)","-d(-Dlogd_chns*logdy,uy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,vy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(uy+vx),vx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)","-d(-(eta_chns+etaT_chns)*(uy+vx),vy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),vx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(vx+uy),vy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)"}{"0"}{"-d(-Dlogk_chns*logkx,vx)","-d(-Dlogk_chns*logky,vx)","-d(-Dlogk_chns*logkx,vy)","-d(-Dlogk_chns*logky,vy)"}{"-d(-Dlogd_chns*logdx,vx)","-d(-Dlogd_chns*logdy,vx)","-d(-Dlogd_chns*logdx,vy)","-d(-Dlogd_chns*logdy,vy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,py)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,py)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(uy+vx),px)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)","-d(-(eta_chns+etaT_chns)*(uy+vx),py)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),px)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(vx+uy),py)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)"}{"0"}{"-d(-Dlogk_chns*logkx,px)","-d(-Dlogk_chns*logky,px)","-d(-Dlogk_chns*logkx,py)","-d(-Dlogk_chns*logky,py)"}{"-d(-Dlogd_chns*logdx,px)","-d(-Dlogd_chns*logdy,px)","-d(-Dlogd_chns*logdx,py)","-d(-Dlogd_chns*logdy,py)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,logky)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logky)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logkx)","-d(-(eta_chns+etaT_chns)*(uy+vx),logkx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logky)","-d(-(eta_chns+etaT_chns)*(uy+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-kxx_Tf_chcc*Tfx-kxy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*u_Tf_chcc dflux_Tf_x_chcc+cflux_Tf_x_chcc-kT_chcc*Tfx Tfy -kyx_Tf_chcc*Tfx-kyy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*v_Tf_chcc dflux_Tf_y_chcc+cflux_Tf_y_chcc-kT_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc sqrt(grad_Tf_x_chcc^2+grad_Tf_y_chcc^2) sqrt(dflux_Tf_x_chcc^2+dflux_Tf_y_chcc^2) sqrt(cflux_Tf_x_chcc^2+cflux_Tf_y_chcc^2) sqrt(tflux_Tf_x_chcc^2+tflux_Tf_y_chcc^2) h*sqrt(beta_Tf_x_chcc^2+beta_Tf_y_chcc^2)/Dm_Tf_chcc Tf Ts k_chcc+kT_chcc 0 k_chcc h rho_Tf_chcc^2*C_Tf_chcc^2*(kxx_Tf_chcc*u_Tf_chcc^2+kxy_Tf_chcc*u_Tf_chcc*v_Tf_chcc+kT_chcc*u_Tf_chcc^2+kyx_Tf_chcc*v_Tf_chcc*u_Tf_chcc+kyy_Tf_chcc*v_Tf_chcc^2+kT_chcc*v_Tf_chcc^2)/((rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc)^2+(rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc)^2+eps) -kxx_Tf_chcc*Tfxx-kxy_Tf_chcc*Tfxy-kT_chcc*Tfxx-kyx_Tf_chcc*Tfyx-kyy_Tf_chcc*Tfyy-kT_chcc*Tfyy+Tfx*rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc+Tfy*rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc-Q_Tf_chcc+rho_chcc*C_chcc*Tft Dts_Tf_chcc*rho_Tf_chcc*C_Tf_chcc Tsx -kxx_Ts_chcc2*Tsx-kxy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*u_Ts_chcc2 dflux_Ts_x_chcc2+cflux_Ts_x_chcc2 Tsy -kyx_Ts_chcc2*Tsx-kyy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*v_Ts_chcc2 dflux_Ts_y_chcc2+cflux_Ts_y_chcc2 rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2 rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2 sqrt(grad_Ts_x_chcc2^2+grad_Ts_y_chcc2^2) sqrt(dflux_Ts_x_chcc2^2+dflux_Ts_y_chcc2^2) sqrt(cflux_Ts_x_chcc2^2+cflux_Ts_y_chcc2^2) sqrt(tflux_Ts_x_chcc2^2+tflux_Ts_y_chcc2^2) h*sqrt(beta_Ts_x_chcc2^2+beta_Ts_y_chcc2^2)/Dm_Ts_chcc2 k_chcc2 0 h rho_Ts_chcc2^2*C_Ts_chcc2^2*(kxx_Ts_chcc2*u_Ts_chcc2^2+kxy_Ts_chcc2*u_Ts_chcc2*v_Ts_chcc2+kyx_Ts_chcc2*v_Ts_chcc2*u_Ts_chcc2+kyy_Ts_chcc2*v_Ts_chcc2^2)/((rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2)^2+(rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2)^2+eps) -kxx_Ts_chcc2*Tsxx-kxy_Ts_chcc2*Tsxy-kyx_Ts_chcc2*Tsyx-kyy_Ts_chcc2*Tsyy+Tsx*rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2+Tsy*rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2-Q_Ts_chcc2+rho_chcc2*C_chcc2*Tst Dts_Ts_chcc2*rho_Ts_chcc2*C_Ts_chcc2 sqrt(u^2+v^2) vx-uy ux+vy etaT_chns/sigmad_chns+eta_chns Cd1_chns*(etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3)-Cd2_chns*rho_chns*exp(logd-logk) exp(logd) rho_chns*Cmu_chns*exp(2*logk-logd) 2*ux^2+2*vy^2+(uy+vx)^2-2*divU_chns^2/3 exp(logk) etaT_chns/sigmak_chns+eta_chns etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3-rho_chns*exp(logd-logk) -Dlogk_chns*(logkxx+logkyy)+rho_chns*(logkt+u*logkx+v*logky)-Dlogk_chns*(logkx^2+logky^2)-Slogk_chns -Dlogd_chns*(logdxx+logdyy)+rho_chns*(logdt+u*logdx+v*logdy)-Dlogd_chns*(logdx^2+logdy^2)-Slogd_chns rho_chns*U_chns*h/eta_chns rho_chns*(ut+u*ux+v*uy)+px-F_x_chns-(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+2*(eta_chns+etaT_chns)*(uxx+vyx)/3+2*d(rho_chns*exp(logk),x)/3 rho_chns*(vt+u*vx+v*vy)+py-F_y_chns-(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+2*(eta_chns+etaT_chns)*(uxy+vyy)/3+2*d(rho_chns*exp(logk),y)/3 rho_chns*u rho_chns*v eta_chns+etaT_chns rho_chns nojac(1/max(2*rho_chns*sqrt(emetric(u,v)),48*(eta_chns+etaT_chns)/h^2)) 0.5*nojac(if(u^2+v^2 rho_chns*divU_chns+d(rho_chns,x)*u+d(rho_chns,y)*v nojac(0.5*h/max(rho_chns*U_chns,6*Dlogk_chns/h)) nojac(0.5*h/max(rho_chns*U_chns,6*Dlogd_chns/h)) 0.025 1 1.205 1006 0 userdefined gauge 101325 p 0 0 eta_chns etaT_chns 287 0 u v Lag2 Lag2 0 0.5 1 gls 0.25 1 0.01[K]/helem_Tf_chcc 1 -1 C_chcc*etaT_chns 0.025 0.025 0 0 0.025 1.205 1006 1 u v 0 0.025 1 1.205 1006 0 userdefined gauge 101325 0 0 0 0 0 287 0 0 0 Lag2 Lag2 0 0.5 0 gls 0.25 0 0.01[K]/helem_Ts_chcc2 1 -1 0 0.025 0.025 0 0 0.025 1.205 1006 1 0 0 0 rho_chcc 1 0 0 1 0 0 0 0 power 0 1 1 Tf 1 0 0 0.5 0.5 sc 0.35 1 0.1 0 Lagp2p1 Lagp2p1 -test(nojac(rho_chns)*(nojac(u)*ux+nojac(v)*uy+px)-nojac(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxx+vyx))*taum_chns*res_u_chns-test(nojac(rho_chns)*(nojac(u)*vx+nojac(v)*vy+py)-nojac(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxy+vyy))*taum_chns*res_v_chns-test(-nojac(rho_chns*alphap_chns)*(nojac(u)*px+nojac(v)*py))*taue_Tf_chcc*res_Tf_chcc-test(divU_chns+nojac(rho_chns*betaT_chns)*(nojac(u)*px+nojac(v)*py))*tauc_chns*res_p_chns (d(x,xi1)^2+d(x,xi2)^2)^2+2*(d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2))^2+(d(y,xi1)^2+d(y,xi2)^2)^2 Lagp2p1 1 1 1 1 1 1 1 0.5*hmax_chns 0 1 U_chns -d(rho_chns,Tf)/rho_chns -d(rho_chns,p)/rho_chns d(x,xi1)^2+d(x,xi2)^2 d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2) d(y,xi1)^2+d(y,xi2)^2 -nojac(0.5*min(ck_chns*sqrt((tauc_chns*res_p_chns/(nojac(rhoint_g1_chns/vol_g1_chns)*nojac(sqrt(u2int_g1_chns/vol_g1_chns))))^2+(taum_chns*res_u_chns)^2+(taum_chns*res_v_chns)^2+(taue_Tf_chcc*nojac(sqrt(u2int_g1_chns/vol_g1_chns))*res_Tf_chcc/nojac(Tfint_g1_chns/Tf_vol_g1_chns))^2),U_ref_chns)*min(gijgij_chns^(-0.25),rho_chns*U_ref_chns/(48*(eta_chns+etaT_chns))))*rho_chns*(g11_chns*(betaT_chns*px*test(px)+alphap_chns*Tfx*test(px)+ux*test(ux)+vx*test(vx)+C_chcc*Tfx*test(Tfx))+g21_chns*(betaT_chns*py*test(px)+alphap_chns*Tfy*test(px)+uy*test(ux)+vy*test(vx)+C_chcc*Tfy*test(Tfx))+g21_chns*(betaT_chns*px*test(py)+alphap_chns*Tfx*test(py)+ux*test(uy)+vx*test(vy)+C_chcc*Tfx*test(Tfy))+g22_chns*(betaT_chns*py*test(py)+alphap_chns*Tfy*test(py)+uy*test(uy)+vy*test(vy)+C_chcc*Tfy*test(Tfy))) {0,0} {0,0} {1,2} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 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{"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc 0 0 0 11.82560274465786+log(dwplus_chns)/kappa_chns-0.5*(1+log(1000*kappa_chns))/kappa_chns nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts 0 0 0 0 1 1 1 1 nx nx nx unx ny ny ny uny 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 1 1 1 1 dnx nx nx nx dny ny ny ny -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 exp(logk) exp(logk) exp(logk) exp(logk) 0.005 0.005 0.005 0.005 10 10 10 10 1 1 1 1 0.01 0.01 0.01 0.01 0.05 0.05 0.05 0.05 0.5*h 0.5*h 0.5*h 0.5*h rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns 100 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0.5*pi 0.5*pi 0.5*pi 0.5*pi h h h h nx nx nx unx ny ny ny uny 0 0 0 0 0 0 0 0 {0,0,0,0,0,0,0} {0,0,0,0,0,0,0} {1,2,3,4,5,6,7} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 123456 1723456 7 1 1111111 1111111 1111111 {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} 0 0 {0,0,0,0,0,0} {0,0,0,0,0,0} {1,1,2,2,3,3} 8.31451 8.31451 10 1.44 1.92 1 1.3 0.09 5.5 0.42 elcplscalar {"1"} nojac(rho_chns) nojac(1) nojac(max((+(u)^2+(v)^2),(eta_chns/rho_chns/h)^2)) nojac(-1/max(emetric(u,v),(visc_vel_fact_chns*eta_chns/rho_chns)^2*emetric2)) refrefrefrefrefrefrefref 00 00 00 00 {"1"} {"2"} {"rhoint_g1_chns","vol_g1_chns","u2int_g1_chns","mdt2_cfl_g1_chns"} {"1","2","3","4"} {"4"} elcplscalar {"1"} nojac(Tf) nojac(1) refrefrefref 00 00 {"1"} {"2"} {"Tfint_g1_chns","Tf_vol_g1_chns"} {"1","2"} {} elconst nojac(sqrt(-mdt2_cfl_g1_chns))

{"R1","R2"}
{0} {0} chcc weak SI COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 1756 geom on on off on on on on 0.1 t ConvCond cartesian {"Tf"} {"x","y","z"} chcc CHEM {"shlag(2,'Tf')"} 4 2 2 off _chcc Lag2 time inactive k-epsilon 1 ref off {"lm1"} ideal wall 0 0 1/kappa_chns*log(dwplus_chns)+15*0.7^(2/3)-1/(2*kappa_chns)*(1+log(kappa_chns/1e-3)) 0 0 0 0 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 273.15 273.15 Ts 400 273.15 273.15 0 1 q0 cont qw T qw qc {} {} {} {} {} {} {1,4,6,3,2,2,2} 1 1 1 {"273.15"} 1 0 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

p0

0 0 eta_chns 0 etaT_chns 0 Rs 287 0 C u0 v 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 system scalar 1 0 0.01[K]/helem_Tf_chcc 1 -1 {} {} C_chcc*etaT_chns 0 {} {} {1,2}
8.31451
ConvCond cartesian {"Ts"} {"x","y","z"} chcc2 CHEM {"shlag(2,'Ts')"} t�` 4 2 2 off _chcc2 Lag2 time inactive None 1 ref off {"lm2"} ideal wall 0 0 0 -q0_chcc -q0_chcc 0 0 273.15 273.15 273.15 273.15 400 300 0 1 cont q0 q q T T {} {} {} {} {} {} {1,1,1,3,5,6,2} 1 1 1 {"273.15"} {"400"} 0 1 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

0

0 0 0 0 Rs 287 0 C 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 0 gls 0.25 scalar 0 0.01[K]/helem_Ts_chcc2 1 -1 {} {} 0 {} {} {1,2}
8.31451
NavierStokes cartesian {"u","v","p","logk","logd","logw","phi","psi","nxw","nyw"} {"x","y","z"} chns CHEM {"shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')"} 4 2 2 1 2 off _chns Lagp2p1 time Off On k-epsilon Off Off Off Off ref off {"lm3","lm4","lm5","lm6","lm7","lm8","lm9","lm10"} ideal 0 0 {1,1,1,1,1,1} walltype inlet outlet walltype int uv p slip wall wall wall wall ntotstress totstress cont U0in 0 0 0 0 {"0","0"} {"0","0"} {"0","0"} {"0","0"} {"0","0"} 1 0 0 0 0 0 0.005 0.005 10 LTIT open 1 0.01 0.05 dw dw dw dwplus dw h/2 100 {} {} {} {} {} 0 0 0 1 0 1 velocity 0 0 0 pi/2 h {1,2,3,4,5,5,5} 12345 12345 11211 11211 11211 11211 {"0","0","0","-8","-8","0","0","0","-8","-8"} {"0","0","0","-8","-8","0","0","0","-8","-8"} 1 0 default Solid domain rho_chcc 1 1 0 0 {} {} 1 0 0 0 0 power 0 1 0 1 0 Tf 1 1 0 0 0 0.5 1 gls 0.5 1 sc 0.35 0 1 0.1 0 navierstokes usesELM 0 Lagp2p1 0 Lagp2p1 0 {"0","0"} {"0","0"} 0 0 0.25 1 gls 0.5 1 1 Lagp2p1 nonisoT isoT 1 1 1 1 1 1 1 hmax_chns*0.5 0 1 {1,2} 10 1.44 1.92 1.0 1.3 0.09 5.5 0.42 {"x","y"} {"ref"} {"shlag(2,'Tf')","shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')","shlag(2,'Ts')"} 4 2 2 1 2 on 1
general
SI {"0","0","0","0","0","0","0"} 1111211 {1,1} 123456 7 1111211 1111211 1111211 1111211 {"273.15","0","0","0","0","-8","-8"} {"0","400","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-test(nojac(C_Tf_chcc*rho_Tf_chcc*u_Tf_chcc)*Tfx+nojac(C_Tf_chcc*rho_Tf_chcc*v_Tf_chcc)*Tfy-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfxx-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfyy)*taue_Tf_chcc*res_Tf_chcc","0","gls_chns+shock_capt_chns","0","0","-test(-nojac(Dlogk_chns)*(logkxx+nojac(logkx)*logkx+logkyy+nojac(logky)*logky)+nojac(rho_chns)*(nojac(u)*logkx+nojac(v)*logky))*tau_logk_chns*res_logk_chns","-test(-nojac(Dlogd_chns)*(logdxx+nojac(logdx)*logdx+logdyy+nojac(logdy)*logdy)+nojac(rho_chns)*(nojac(u)*logdx+nojac(v)*logdy))*tau_logd_chns*res_logd_chns"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tfx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tfy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tfx)","-d(-Dlogk_chns*logky,Tfx)","-d(-Dlogk_chns*logkx,Tfy)","-d(-Dlogk_chns*logky,Tfy)"}{"-d(-Dlogd_chns*logdx,Tfx)","-d(-Dlogd_chns*logdy,Tfx)","-d(-Dlogd_chns*logdx,Tfy)","-d(-Dlogd_chns*logdy,Tfy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tsx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tsy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tsx)","-d(-Dlogk_chns*logky,Tsx)","-d(-Dlogk_chns*logkx,Tsy)","-d(-Dlogk_chns*logky,Tsy)"}{"-d(-Dlogd_chns*logdx,Tsx)","-d(-Dlogd_chns*logdy,Tsx)","-d(-Dlogd_chns*logdx,Tsy)","-d(-Dlogd_chns*logdy,Tsy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,uy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,uy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(uy+vx),ux)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)","-d(-(eta_chns+etaT_chns)*(uy+vx),uy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),ux)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(vx+uy),uy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)"}{"0"}{"-d(-Dlogk_chns*logkx,ux)","-d(-Dlogk_chns*logky,ux)","-d(-Dlogk_chns*logkx,uy)","-d(-Dlogk_chns*logky,uy)"}{"-d(-Dlogd_chns*logdx,ux)","-d(-Dlogd_chns*logdy,ux)","-d(-Dlogd_chns*logdx,uy)","-d(-Dlogd_chns*logdy,uy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,vy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(uy+vx),vx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)","-d(-(eta_chns+etaT_chns)*(uy+vx),vy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),vx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(vx+uy),vy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)"}{"0"}{"-d(-Dlogk_chns*logkx,vx)","-d(-Dlogk_chns*logky,vx)","-d(-Dlogk_chns*logkx,vy)","-d(-Dlogk_chns*logky,vy)"}{"-d(-Dlogd_chns*logdx,vx)","-d(-Dlogd_chns*logdy,vx)","-d(-Dlogd_chns*logdx,vy)","-d(-Dlogd_chns*logdy,vy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,py)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,py)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(uy+vx),px)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)","-d(-(eta_chns+etaT_chns)*(uy+vx),py)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),px)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(vx+uy),py)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)"}{"0"}{"-d(-Dlogk_chns*logkx,px)","-d(-Dlogk_chns*logky,px)","-d(-Dlogk_chns*logkx,py)","-d(-Dlogk_chns*logky,py)"}{"-d(-Dlogd_chns*logdx,px)","-d(-Dlogd_chns*logdy,px)","-d(-Dlogd_chns*logdx,py)","-d(-Dlogd_chns*logdy,py)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,logky)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logky)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logkx)","-d(-(eta_chns+etaT_chns)*(uy+vx),logkx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logky)","-d(-(eta_chns+etaT_chns)*(uy+vx),logky)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),logkx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logkx)","-d(-(eta_chns+etaT_chns)*(vx+uy),logky)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logky)"}{"0"}{"-d(-Dlogk_chns*logkx,logkx)","-d(-Dlogk_chns*logky,logkx)","-d(-Dlogk_chns*logkx,logky)","-d(-Dlogk_chns*logky,logky)"}{"-d(-Dlogd_chns*logdx,logkx)","-d(-Dlogd_chns*logdy,logkx)","-d(-Dlogd_chns*logdx,logky)","-d(-Dlogd_chns*logdy,logky)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,logdx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logdx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,logdy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logdy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdx)","-d(-(eta_chns+etaT_chns)*(uy+vx),logdx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdy)","-d(-(eta_chns+etaT_chns)*(uy+vx),logdy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),logdx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdx)","-d(-(eta_chns+etaT_chns)*(vx+uy),logdy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdy)"}{"0"}{"-d(-Dlogk_chns*logkx,logdx)","-d(-Dlogk_chns*logky,logdx)","-d(-Dlogk_chns*logkx,logdy)","-d(-Dlogk_chns*logky,logdy)"}{"-d(-Dlogd_chns*logdx,logdx)","-d(-Dlogd_chns*logdy,logdx)","-d(-Dlogd_chns*logdx,logdy)","-d(-Dlogd_chns*logdy,logdy)"} {"0"}{"-d(-k_Ts_chcc2*Tsx,Tfx)","-d(-k_Ts_chcc2*Tsy,Tfx)","-d(-k_Ts_chcc2*Tsx,Tfy)","-d(-k_Ts_chcc2*Tsy,Tfy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,Tsx)","-d(-k_Ts_chcc2*Tsy,Tsx)","-d(-k_Ts_chcc2*Tsx,Tsy)","-d(-k_Ts_chcc2*Tsy,Tsy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,ux)","-d(-k_Ts_chcc2*Tsy,ux)","-d(-k_Ts_chcc2*Tsx,uy)","-d(-k_Ts_chcc2*Tsy,uy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,vx)","-d(-k_Ts_chcc2*Tsy,vx)","-d(-k_Ts_chcc2*Tsx,vy)","-d(-k_Ts_chcc2*Tsy,vy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,px)","-d(-k_Ts_chcc2*Tsy,px)","-d(-k_Ts_chcc2*Tsx,py)","-d(-k_Ts_chcc2*Tsy,py)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,logkx)","-d(-k_Ts_chcc2*Tsy,logkx)","-d(-k_Ts_chcc2*Tsx,logky)","-d(-k_Ts_chcc2*Tsy,logky)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,logdx)","-d(-k_Ts_chcc2*Tsy,logdx)","-d(-k_Ts_chcc2*Tsx,logdy)","-d(-k_Ts_chcc2*Tsy,logdy)"}{"0"}{"0"}{"0"}{"0"}{"0"} {"-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),Tf)","0","-d(-rho_chns*(u*ux+v*uy),Tf)","-d(-rho_chns*(u*vx+v*vy),Tf)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),Tf)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,Tf)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,Tf)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),Ts)","0","-d(-rho_chns*(u*ux+v*uy),Ts)","-d(-rho_chns*(u*vx+v*vy),Ts)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),Ts)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,Ts)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,Ts)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),u)","0","-d(-rho_chns*(u*ux+v*uy),u)","-d(-rho_chns*(u*vx+v*vy),u)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),u)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,u)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,u)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),v)","0","-d(-rho_chns*(u*ux+v*uy),v)","-d(-rho_chns*(u*vx+v*vy),v)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),v)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,v)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,v)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),p)","0","-d(-rho_chns*(u*ux+v*uy),p)","-d(-rho_chns*(u*vx+v*vy),p)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),p)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,p)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,p)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),logk)","0","-d(-rho_chns*(u*ux+v*uy),logk)","-d(-rho_chns*(u*vx+v*vy),logk)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),logk)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,logk)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,logk)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),logd)","0","-d(-rho_chns*(u*ux+v*uy),logd)","-d(-rho_chns*(u*vx+v*vy),logd)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v-d(rho_chns,t),logd)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,logd)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,logd)"}{"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} 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-kxx_Tf_chcc*Tfx-kxy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*u_Tf_chcc dflux_Tf_x_chcc+cflux_Tf_x_chcc-kT_chcc*Tfx Tfy -kyx_Tf_chcc*Tfx-kyy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*v_Tf_chcc dflux_Tf_y_chcc+cflux_Tf_y_chcc-kT_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc sqrt(grad_Tf_x_chcc^2+grad_Tf_y_chcc^2) sqrt(dflux_Tf_x_chcc^2+dflux_Tf_y_chcc^2) sqrt(cflux_Tf_x_chcc^2+cflux_Tf_y_chcc^2) sqrt(tflux_Tf_x_chcc^2+tflux_Tf_y_chcc^2) h*sqrt(beta_Tf_x_chcc^2+beta_Tf_y_chcc^2)/Dm_Tf_chcc Tf Ts k_chcc+kT_chcc 0 k_chcc h rho_Tf_chcc^2*C_Tf_chcc^2*(kxx_Tf_chcc*u_Tf_chcc^2+kxy_Tf_chcc*u_Tf_chcc*v_Tf_chcc+kT_chcc*u_Tf_chcc^2+kyx_Tf_chcc*v_Tf_chcc*u_Tf_chcc+kyy_Tf_chcc*v_Tf_chcc^2+kT_chcc*v_Tf_chcc^2)/((rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc)^2+(rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc)^2+eps) -kxx_Tf_chcc*Tfxx-kxy_Tf_chcc*Tfxy-kT_chcc*Tfxx-kyx_Tf_chcc*Tfyx-kyy_Tf_chcc*Tfyy-kT_chcc*Tfyy+Tfx*rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc+Tfy*rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc-Q_Tf_chcc+rho_chcc*C_chcc*Tft Dts_Tf_chcc*rho_Tf_chcc*C_Tf_chcc Tsx -kxx_Ts_chcc2*Tsx-kxy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*u_Ts_chcc2 dflux_Ts_x_chcc2+cflux_Ts_x_chcc2 Tsy -kyx_Ts_chcc2*Tsx-kyy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*v_Ts_chcc2 dflux_Ts_y_chcc2+cflux_Ts_y_chcc2 rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2 rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2 sqrt(grad_Ts_x_chcc2^2+grad_Ts_y_chcc2^2) sqrt(dflux_Ts_x_chcc2^2+dflux_Ts_y_chcc2^2) sqrt(cflux_Ts_x_chcc2^2+cflux_Ts_y_chcc2^2) sqrt(tflux_Ts_x_chcc2^2+tflux_Ts_y_chcc2^2) h*sqrt(beta_Ts_x_chcc2^2+beta_Ts_y_chcc2^2)/Dm_Ts_chcc2 k_chcc2 0 h rho_Ts_chcc2^2*C_Ts_chcc2^2*(kxx_Ts_chcc2*u_Ts_chcc2^2+kxy_Ts_chcc2*u_Ts_chcc2*v_Ts_chcc2+kyx_Ts_chcc2*v_Ts_chcc2*u_Ts_chcc2+kyy_Ts_chcc2*v_Ts_chcc2^2)/((rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2)^2+(rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2)^2+eps) -kxx_Ts_chcc2*Tsxx-kxy_Ts_chcc2*Tsxy-kyx_Ts_chcc2*Tsyx-kyy_Ts_chcc2*Tsyy+Tsx*rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2+Tsy*rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2-Q_Ts_chcc2+rho_chcc2*C_chcc2*Tst Dts_Ts_chcc2*rho_Ts_chcc2*C_Ts_chcc2 sqrt(u^2+v^2) vx-uy ux+vy etaT_chns/sigmad_chns+eta_chns Cd1_chns*(etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3)-Cd2_chns*rho_chns*exp(logd-logk) exp(logd) rho_chns*Cmu_chns*exp(2*logk-logd) 2*ux^2+2*vy^2+(uy+vx)^2-2*divU_chns^2/3 exp(logk) etaT_chns/sigmak_chns+eta_chns etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3-rho_chns*exp(logd-logk) -Dlogk_chns*(logkxx+logkyy)+rho_chns*(logkt+u*logkx+v*logky)-Dlogk_chns*(logkx^2+logky^2)-Slogk_chns -Dlogd_chns*(logdxx+logdyy)+rho_chns*(logdt+u*logdx+v*logdy)-Dlogd_chns*(logdx^2+logdy^2)-Slogd_chns rho_chns*U_chns*h/eta_chns rho_chns*(ut+u*ux+v*uy)+px-F_x_chns-(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+2*(eta_chns+etaT_chns)*(uxx+vyx)/3+2*d(rho_chns*exp(logk),x)/3 rho_chns*(vt+u*vx+v*vy)+py-F_y_chns-(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+2*(eta_chns+etaT_chns)*(uxy+vyy)/3+2*d(rho_chns*exp(logk),y)/3 rho_chns*u rho_chns*v eta_chns+etaT_chns rho_chns nojac(1/max(2*rho_chns*sqrt(emetric(u,v)),48*(eta_chns+etaT_chns)/h^2)) 0.5*nojac(if(u^2+v^2 rho_chns*divU_chns+d(rho_chns,x)*u+d(rho_chns,y)*v nojac(0.5*h/max(rho_chns*U_chns,6*Dlogk_chns/h)) nojac(0.5*h/max(rho_chns*U_chns,6*Dlogd_chns/h)) 0.025 1 1.205 1006 0 userdefined gauge 101325 p 0 0 eta_chns etaT_chns 287 0 u v Lag2 Lag2 0 0.5 1 gls 0.25 1 0.01[K]/helem_Tf_chcc 1 -1 C_chcc*etaT_chns 0.025 0.025 0 0 0.025 1.205 1006 1 u v 0 0.025 1 1.205 1006 0 userdefined gauge 101325 0 0 0 0 0 287 0 0 0 Lag2 Lag2 0 0.5 0 gls 0.25 0 0.01[K]/helem_Ts_chcc2 1 -1 0 0.025 0.025 0 0 0.025 1.205 1006 1 0 0 0 rho_chcc 1 0 0 1 0 0 0 0 power 0 1 1 Tf 1 0 0 0.5 0.5 sc 0.35 1 0.1 0 Lagp2p1 Lagp2p1 -test(nojac(rho_chns)*(nojac(u)*ux+nojac(v)*uy+px)-nojac(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxx+vyx))*taum_chns*res_u_chns-test(nojac(rho_chns)*(nojac(u)*vx+nojac(v)*vy+py)-nojac(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxy+vyy))*taum_chns*res_v_chns-test(-nojac(rho_chns*alphap_chns)*(nojac(u)*px+nojac(v)*py))*taue_Tf_chcc*res_Tf_chcc-test(divU_chns+nojac(rho_chns*betaT_chns)*(nojac(u)*px+nojac(v)*py))*tauc_chns*res_p_chns (d(x,xi1)^2+d(x,xi2)^2)^2+2*(d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2))^2+(d(y,xi1)^2+d(y,xi2)^2)^2 Lagp2p1 1 1 1 1 1 1 1 0.5*hmax_chns 0 1 U_chns -d(rho_chns,Tf)/rho_chns -d(rho_chns,p)/rho_chns d(x,xi1)^2+d(x,xi2)^2 d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2) d(y,xi1)^2+d(y,xi2)^2 -nojac(0.5*min(ck_chns*sqrt((tauc_chns*res_p_chns/(nojac(rhoint_g1_chns/vol_g1_chns)*nojac(sqrt(u2int_g1_chns/vol_g1_chns))))^2+(taum_chns*res_u_chns)^2+(taum_chns*res_v_chns)^2+(taue_Tf_chcc*nojac(sqrt(u2int_g1_chns/vol_g1_chns))*res_Tf_chcc/nojac(Tfint_g1_chns/Tf_vol_g1_chns))^2),U_ref_chns)*min(gijgij_chns^(-0.25),rho_chns*U_ref_chns/(48*(eta_chns+etaT_chns))))*rho_chns*(g11_chns*(betaT_chns*px*test(px)+alphap_chns*Tfx*test(px)+ux*test(ux)+vx*test(vx)+C_chcc*Tfx*test(Tfx))+g21_chns*(betaT_chns*py*test(px)+alphap_chns*Tfy*test(px)+uy*test(ux)+vy*test(vx)+C_chcc*Tfy*test(Tfx))+g21_chns*(betaT_chns*px*test(py)+alphap_chns*Tfx*test(py)+ux*test(uy)+vx*test(vy)+C_chcc*Tfx*test(Tfy))+g22_chns*(betaT_chns*py*test(py)+alphap_chns*Tfy*test(py)+uy*test(uy)+vy*test(vy)+C_chcc*Tfy*test(Tfy))) {0,0} {0,0} {1,2} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 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{"q0_chcc","q0_chcc2","-rho_chns*Cmu_chns^0.25*exp(0.5*logk)*u/(log(abs(dwplus_chns))/kappa_chns+Cplus_chns)-nx_chns*p","-rho_chns*Cmu_chns^0.25*exp(0.5*logk)*v/(log(abs(dwplus_chns))/kappa_chns+Cplus_chns)-ny_chns*p","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-Tf+T0_chcc","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","-Ts+T0_chcc2","0","0","0","0","0"} {"0","-Ts+T0_chcc2","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 123456 123456 123456 1723456 7 7 7 1 1111111 1111111 1111111 1111111 1111111t�` 1111111 1111111 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc 0 0 0 11.82560274465786+log(dwplus_chns)/kappa_chns-0.5*(1+log(1000*kappa_chns))/kappa_chns nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts 0 0 0 0 1 1 1 1 nx nx nx unx ny ny ny uny 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 1 1 1 1 dnx nx nx nx dny ny ny ny -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 exp(logk) exp(logk) exp(logk) exp(logk) 0.005 0.005 0.005 0.005 10 10 10 10 1 1 1 1 0.01 0.01 0.01 0.01 0.05 0.05 0.05 0.05 0.5*h 0.5*h 0.5*h 0.5*h rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns 100 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0.5*pi 0.5*pi 0.5*pi 0.5*pi h h h h nx nx nx unx ny ny ny uny 0 0 0 0 0 0 0 0 {0,0,0,0,0,0,0} {0,0,0,0,0,0,0} {1,2,3,4,5,6,7} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 123456 1723456 7 1 1111111 1111111 1111111 {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} 0 0 {0,0,0,0,0,0} {0,0,0,0,0,0} {1,1,2,2,3,3} 8.31451 8.31451 10 1.44 1.92 1 1.3 0.09 5.5 0.42 elcplscalar {"1"} nojac(rho_chns) nojac(1) nojac(max((+(u)^2+(v)^2),(eta_chns/rho_chns/h)^2)) nojac(-1/max(emetric(u,v),(visc_vel_fact_chns*eta_chns/rho_chns)^2*emetric2)) refrefrefrefrefrefrefref 00 00 00 00 {"1"} {"2"} {"rhoint_g1_chns","vol_g1_chns","u2int_g1_chns","mdt2_cfl_g1_chns"} {"1","2","3","4"} {"4"} elcplscalar {"1"} nojac(Tf) nojac(1) refrefrefref 00 00 {"1"} {"2"} {"Tfint_g1_chns","Tf_vol_g1_chns"} {"1","2"} {} elconst nojac(sqrt(-mdt2_cfl_g1_chns))

{0} {0} chcc weak SI COMSOL 3.5 a 0 608 $Name: v35ap $ $Date: 2009/05/11 07:38:49 $ 1756 geom on on off on on on on 0.1 t ConvCond cartesian {"Tf"} {"x","y","z"} chcc CHEM {"shlag(2,'Tf')"} 4 2 2 off _chcc Lag2 static inactive k-epsilon 1 ref off {"lm1"} ideal wall 0 0 1/kappa_chns*log(dwplus_chns)+15*0.7^(2/3)-1/(2*kappa_chns)*(1+log(kappa_chns/1e-3)) 0 0 0 0 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 rho_chcc*C_chcc*Cmu_chns^(1/4)*sqrt(k0_chns)*(Ts-Tf)/(Tplus_chcc) 0 273.15 273.15 Ts 400 273.15 273.15 0 1 q0 cont qw T qw qc {} {} {} {} {} {} {1,4,6,3,2,2,2} 1 1 1 {"273.15"} 1 0 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

p0

0 0 eta_chns 0 etaT_chns 0 Rs 287 0 C u0 v 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 gls 0.25 system scalar 1 0 0.01[K]/helem_Tf_chcc 1 -1 {} {} C_chcc*etaT_chns 0 {} {} {1,2}
8.31451
ConvCond cartesian {"Ts"} {"x","y","z"} chcc2 CHEM {"shlag(2,'Ts')"} 4 2 2 off _chcc2 Lag2 static inactive None 1 ref off {"lm2"} ideal wall 0 0 0 -q0_chcc -q0_chcc 0 0 273.15 273.15 273.15 273.15 400 300 0 1 cont q0 q q T T {} {} {} {} {} {} {1,1,1,3,5,6,2} 1 1 1 {"273.15"} {"400"} 0 1 default Solid domain 0.025 {"0.025","0","0","0.025"} {"0.025","0","0","0.025"} iso 1 1.205 1006 0 userdefined gauge 101325

0

0 0 0 0 Rs 287 0 C 0 0 0 Lag2 0 Lag2 usesELM 0 0.5 1 0 gls 0.25 scalar 0 0.01[K]/helem_Ts_chcc2 1 -1 {} {} 0 {} {} {1,2}
8.31451
NavierStokes cartesian {"u","v","p","logk","logd","logw","phi","psi","nxw","nyw"} {"x","y","z"} chns CHEM {"shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')"} 4 2 2 1 2 off _chns Lagp2p1 static Off On k-epsilon Off Off Off Off ref off {"lm3","lm4","lm5","lm6","lm7","lm8","lm9","lm10"} ideal 0 0 {1,1,1,1,1,1} walltype inlet outlet walltype int uv p slip wall wall wall wall ntotstress totstress cont U0in 0 0 0 0 {"0","0"} {"0","0"} {"0","0"} {"0","0"} {"0","0"} 1 0 0 0 0 0 0.005 0.005 10 LTIT open 1 0.01 0.05 dw dw dw dwplus dw h/2 100 {} {} {} {} {} 0 0 0 1 0 1 velocity 0 0 0 pi/2 h {1,2,3,4,5,5,5} 12345 12345 11211 11211 11211 11211 {"0","0","0","-8","-8","0","0","0","0","0"} {"0","0","0","-8","-8","0","0","0","0","0"} 1 0 default Solid domain rho_chcc 1 1 0 0 {} {} 1 0 0 0 0 power 0 1 0 1 0 Tf 1 1 0 0 0 0.5 1 gls 0.5 1 sc 0.35 0 1 0.1 0 navierstokes usesELM 0 Lagp2p1 0 Lagp2p1 0 {"0","0"} {"0","0"} 0 0 0.25 1 gls 0.5 1 1 Lagp2p1 nonisoT isoT 1 1 1 1 1 1 1 hmax_chns*0.5 0 1 {1,2} 10 1.44 1.92 1.0 1.3 0.09 5.5 0.42 {"x","y"} {"ref"} {"shlag(2,'Tf')","shlag(2,'u')","shlag(2,'v')","shlag(1,'p')","shlag(2,'logk')","shlag(2,'logd')","shlag(2,'Ts')"} 4 2 2 1 2 on 1
general
SI {"0","0","0","0","0","0","0"} 1111211 {1,1} 123456 7 1111211 1111211 1111211 1111211 {"273.15","0","0","0","0","-8","-8"} {"0","400","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-test(nojac(C_Tf_chcc*rho_Tf_chcc*u_Tf_chcc)*Tfx+nojac(C_Tf_chcc*rho_Tf_chcc*v_Tf_chcc)*Tfy-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfxx-nojac(kmeanl_Tf_chcc+kT_chcc)*Tfyy)*taue_Tf_chcc*res_Tf_chcc","0","gls_chns+shock_capt_chns","0","0","-test(-nojac(Dlogk_chns)*(logkxx+nojac(logkx)*logkx+logkyy+nojac(logky)*logky)+nojac(rho_chns)*(nojac(u)*logkx+nojac(v)*logky))*tau_logk_chns*res_logk_chns","-test(-nojac(Dlogd_chns)*(logdxx+nojac(logdx)*logdx+logdyy+nojac(logdy)*logdy)+nojac(rho_chns)*(nojac(u)*logdx+nojac(v)*logdy))*tau_logd_chns*res_logd_chns"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tfy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tfy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tfy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tfx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tfy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tfy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tfx)","-d(-Dlogk_chns*logky,Tfx)","-d(-Dlogk_chns*logkx,Tfy)","-d(-Dlogk_chns*logky,Tfy)"}{"-d(-Dlogd_chns*logdx,Tfx)","-d(-Dlogd_chns*logdy,Tfx)","-d(-Dlogd_chns*logdx,Tfy)","-d(-Dlogd_chns*logdy,Tfy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,Tsy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,Tsy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)","-d(-(eta_chns+etaT_chns)*(uy+vx),Tsy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),Tsx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsx)","-d(-(eta_chns+etaT_chns)*(vx+uy),Tsy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,Tsy)"}{"0"}{"-d(-Dlogk_chns*logkx,Tsx)","-d(-Dlogk_chns*logky,Tsx)","-d(-Dlogk_chns*logkx,Tsy)","-d(-Dlogk_chns*logky,Tsy)"}{"-d(-Dlogd_chns*logdx,Tsx)","-d(-Dlogd_chns*logdy,Tsx)","-d(-Dlogd_chns*logdx,Tsy)","-d(-Dlogd_chns*logdy,Tsy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,ux)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,uy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,uy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(uy+vx),ux)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)","-d(-(eta_chns+etaT_chns)*(uy+vx),uy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),ux)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,ux)","-d(-(eta_chns+etaT_chns)*(vx+uy),uy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,uy)"}{"0"}{"-d(-Dlogk_chns*logkx,ux)","-d(-Dlogk_chns*logky,ux)","-d(-Dlogk_chns*logkx,uy)","-d(-Dlogk_chns*logky,uy)"}{"-d(-Dlogd_chns*logdx,ux)","-d(-Dlogd_chns*logdy,ux)","-d(-Dlogd_chns*logdx,uy)","-d(-Dlogd_chns*logdy,uy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,vy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,vy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(uy+vx),vx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)","-d(-(eta_chns+etaT_chns)*(uy+vx),vy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),vx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vx)","-d(-(eta_chns+etaT_chns)*(vx+uy),vy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,vy)"}{"0"}{"-d(-Dlogk_chns*logkx,vx)","-d(-Dlogk_chns*logky,vx)","-d(-Dlogk_chns*logkx,vy)","-d(-Dlogk_chns*logky,vy)"}{"-d(-Dlogd_chns*logdx,vx)","-d(-Dlogd_chns*logdy,vx)","-d(-Dlogd_chns*logdx,vy)","-d(-Dlogd_chns*logdy,vy)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,px)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,py)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,py)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(uy+vx),px)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)","-d(-(eta_chns+etaT_chns)*(uy+vx),py)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),px)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,px)","-d(-(eta_chns+etaT_chns)*(vx+uy),py)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,py)"}{"0"}{"-d(-Dlogk_chns*logkx,px)","-d(-Dlogk_chns*logky,px)","-d(-Dlogk_chns*logkx,py)","-d(-Dlogk_chns*logky,py)"}{"-d(-Dlogd_chns*logdx,px)","-d(-Dlogd_chns*logdy,px)","-d(-Dlogd_chns*logdx,py)","-d(-Dlogd_chns*logdy,py)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logkx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,logky)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logky)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logkx)","-d(-(eta_chns+etaT_chns)*(uy+vx),logkx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logky)","-d(-(eta_chns+etaT_chns)*(uy+vx),logky)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),logkx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logkx)","-d(-(eta_chns+etaT_chns)*(vx+uy),logky)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logky)"}{"0"}{"-d(-Dlogk_chns*logkx,logkx)","-d(-Dlogk_chns*logky,logkx)","-d(-Dlogk_chns*logkx,logky)","-d(-Dlogk_chns*logky,logky)"}{"-d(-Dlogd_chns*logdx,logkx)","-d(-Dlogd_chns*logdy,logkx)","-d(-Dlogd_chns*logdx,logky)","-d(-Dlogd_chns*logdy,logky)"}{"-d(-(k_Tf_chcc+kT_chcc)*Tfx,logdx)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logdx)","-d(-(k_Tf_chcc+kT_chcc)*Tfx,logdy)","-d(-(k_Tf_chcc+kT_chcc)*Tfy,logdy)"}{"0"}{"-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdx)","-d(-(eta_chns+etaT_chns)*(uy+vx),logdx)","-d(-2*(eta_chns+etaT_chns)*ux+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdy)","-d(-(eta_chns+etaT_chns)*(uy+vx),logdy)"}{"-d(-(eta_chns+etaT_chns)*(vx+uy),logdx)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdx)","-d(-(eta_chns+etaT_chns)*(vx+uy),logdy)","-d(-2*(eta_chns+etaT_chns)*vy+p+2*(eta_chns+etaT_chns)*divU_chns/3+2*rho_chns*exp(logk)/3,logdy)"}{"0"}{"-d(-Dlogk_chns*logkx,logdx)","-d(-Dlogk_chns*logky,logdx)","-d(-Dlogk_chns*logkx,logdy)","-d(-Dlogk_chns*logky,logdy)"}{"-d(-Dlogd_chns*logdx,logdx)","-d(-Dlogd_chns*logdy,logdx)","-d(-Dlogd_chns*logdx,logdy)","-d(-Dlogd_chns*logdy,logdy)"} {"0"}{"-d(-k_Ts_chcc2*Tsx,Tfx)","-d(-k_Ts_chcc2*Tsy,Tfx)","-d(-k_Ts_chcc2*Tsx,Tfy)","-d(-k_Ts_chcc2*Tsy,Tfy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,Tsx)","-d(-k_Ts_chcc2*Tsy,Tsx)","-d(-k_Ts_chcc2*Tsx,Tsy)","-d(-k_Ts_chcc2*Tsy,Tsy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,ux)","-d(-k_Ts_chcc2*Tsy,ux)","-d(-k_Ts_chcc2*Tsx,uy)","-d(-k_Ts_chcc2*Tsy,uy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,vx)","-d(-k_Ts_chcc2*Tsy,vx)","-d(-k_Ts_chcc2*Tsx,vy)","-d(-k_Ts_chcc2*Tsy,vy)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,px)","-d(-k_Ts_chcc2*Tsy,px)","-d(-k_Ts_chcc2*Tsx,py)","-d(-k_Ts_chcc2*Tsy,py)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,logkx)","-d(-k_Ts_chcc2*Tsy,logkx)","-d(-k_Ts_chcc2*Tsx,logky)","-d(-k_Ts_chcc2*Tsy,logky)"}{"0"}{"0"}{"0"}{"0"}{"0"}{"0"}{"-d(-k_Ts_chcc2*Tsx,logdx)","-d(-k_Ts_chcc2*Tsy,logdx)","-d(-k_Ts_chcc2*Tsx,logdy)","-d(-k_Ts_chcc2*Tsy,logdy)"}{"0"}{"0"}{"0"}{"0"}{"0"} {"-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),Tf)","0","-d(-rho_chns*(u*ux+v*uy),Tf)","-d(-rho_chns*(u*vx+v*vy),Tf)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,Tf)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,Tf)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,Tf)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),Ts)","0","-d(-rho_chns*(u*ux+v*uy),Ts)","-d(-rho_chns*(u*vx+v*vy),Ts)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,Ts)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,Ts)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,Ts)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),u)","0","-d(-rho_chns*(u*ux+v*uy),u)","-d(-rho_chns*(u*vx+v*vy),u)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,u)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,u)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,u)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),v)","0","-d(-rho_chns*(u*ux+v*uy),v)","-d(-rho_chns*(u*vx+v*vy),v)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,v)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,v)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,v)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),p)","0","-d(-rho_chns*(u*ux+v*uy),p)","-d(-rho_chns*(u*vx+v*vy),p)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,p)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,p)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,p)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),logk)","0","-d(-rho_chns*(u*ux+v*uy),logk)","-d(-rho_chns*(u*vx+v*vy),logk)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,logk)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,logk)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,logk)","-d(rho_chcc*C_chcc*(-u_chcc*Tfx-v_chcc*Tfy),logd)","0","-d(-rho_chns*(u*ux+v*uy),logd)","-d(-rho_chns*(u*vx+v*vy),logd)","-d(-rho_chns*divU_chns-d(rho_chns,x)*u-d(rho_chns,y)*v,logd)","-d(-rho_chns*(u*logkx+v*logky)+Dlogk_chns*(logkx^2+logky^2)+Slogk_chns,logd)","-d(-rho_chns*(u*logdx+v*logdy)+Dlogd_chns*(logdx^2+logdy^2)+Slogd_chns,logd)"}{"0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"} 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-kxx_Tf_chcc*Tfx-kxy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*u_Tf_chcc dflux_Tf_x_chcc+cflux_Tf_x_chcc-kT_chcc*Tfx Tfy -kyx_Tf_chcc*Tfx-kyy_Tf_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*Tf*v_Tf_chcc dflux_Tf_y_chcc+cflux_Tf_y_chcc-kT_chcc*Tfy rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc sqrt(grad_Tf_x_chcc^2+grad_Tf_y_chcc^2) sqrt(dflux_Tf_x_chcc^2+dflux_Tf_y_chcc^2) sqrt(cflux_Tf_x_chcc^2+cflux_Tf_y_chcc^2) sqrt(tflux_Tf_x_chcc^2+tflux_Tf_y_chcc^2) h*sqrt(beta_Tf_x_chcc^2+beta_Tf_y_chcc^2)/Dm_Tf_chcc Tf Ts k_chcc+kT_chcc 0 k_chcc h rho_Tf_chcc^2*C_Tf_chcc^2*(kxx_Tf_chcc*u_Tf_chcc^2+kxy_Tf_chcc*u_Tf_chcc*v_Tf_chcc+kT_chcc*u_Tf_chcc^2+kyx_Tf_chcc*v_Tf_chcc*u_Tf_chcc+kyy_Tf_chcc*v_Tf_chcc^2+kT_chcc*v_Tf_chcc^2)/((rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc)^2+(rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc)^2+eps) -kxx_Tf_chcc*Tfxx-kxy_Tf_chcc*Tfxy-kT_chcc*Tfxx-kyx_Tf_chcc*Tfyx-kyy_Tf_chcc*Tfyy-kT_chcc*Tfyy+Tfx*rho_Tf_chcc*C_Tf_chcc*u_Tf_chcc+Tfy*rho_Tf_chcc*C_Tf_chcc*v_Tf_chcc-Q_Tf_chcc Dts_Tf_chcc*rho_Tf_chcc*C_Tf_chcc Tsx -kxx_Ts_chcc2*Tsx-kxy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*u_Ts_chcc2 dflux_Ts_x_chcc2+cflux_Ts_x_chcc2 Tsy -kyx_Ts_chcc2*Tsx-kyy_Ts_chcc2*Tsy rho_Ts_chcc2*C_Ts_chcc2*Ts*v_Ts_chcc2 dflux_Ts_y_chcc2+cflux_Ts_y_chcc2 rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2 rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2 sqrt(grad_Ts_x_chcc2^2+grad_Ts_y_chcc2^2) sqrt(dflux_Ts_x_chcc2^2+dflux_Ts_y_chcc2^2) sqrt(cflux_Ts_x_chcc2^2+cflux_Ts_y_chcc2^2) sqrt(tflux_Ts_x_chcc2^2+tflux_Ts_y_chcc2^2) h*sqrt(beta_Ts_x_chcc2^2+beta_Ts_y_chcc2^2)/Dm_Ts_chcc2 k_chcc2 0 h rho_Ts_chcc2^2*C_Ts_chcc2^2*(kxx_Ts_chcc2*u_Ts_chcc2^2+kxy_Ts_chcc2*u_Ts_chcc2*v_Ts_chcc2+kyx_Ts_chcc2*v_Ts_chcc2*u_Ts_chcc2+kyy_Ts_chcc2*v_Ts_chcc2^2)/((rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2)^2+(rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2)^2+eps) -kxx_Ts_chcc2*Tsxx-kxy_Ts_chcc2*Tsxy-kyx_Ts_chcc2*Tsyx-kyy_Ts_chcc2*Tsyy+Tsx*rho_Ts_chcc2*C_Ts_chcc2*u_Ts_chcc2+Tsy*rho_Ts_chcc2*C_Ts_chcc2*v_Ts_chcc2-Q_Ts_chcc2 Dts_Ts_chcc2*rho_Ts_chcc2*C_Ts_chcc2 sqrt(u^2+v^2) vx-uy ux+vy etaT_chns/sigmad_chns+eta_chns Cd1_chns*(etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3)-Cd2_chns*rho_chns*exp(logd-nojac(logk)) exp(logd) nojac(rho_chns*Cmu_chns*exp(2*logk-logd)) 2*ux^2+2*vy^2+(uy+vx)^2-2*divU_chns^2/3 exp(logk) etaT_chns/sigmak_chns+eta_chns etaT_chns*exp(-logk)*pT_chns-2*rho_chns*divU_chns/3-rho_chns*exp(logd-nojac(logk)) -Dlogk_chns*(logkxx+logkyy)+rho_chns*(u*logkx+v*logky)-Dlogk_chns*(logkx^2+logky^2)-Slogk_chns -Dlogd_chns*(logdxx+logdyy)+rho_chns*(u*logdx+v*logdy)-Dlogd_chns*(logdx^2+logdy^2)-Slogd_chns rho_chns*U_chns*h/eta_chns rho_chns*(u*ux+v*uy)+px-F_x_chns-(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+2*(eta_chns+etaT_chns)*(uxx+vyx)/3+2*d(rho_chns*exp(logk),x)/3 rho_chns*(u*vx+v*vy)+py-F_y_chns-(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+2*(eta_chns+etaT_chns)*(uxy+vyy)/3+2*d(rho_chns*exp(logk),y)/3 rho_chns*u rho_chns*v eta_chns+etaT_chns rho_chns nojac(1/max(2*rho_chns*sqrt(emetric(u,v)),48*(eta_chns+etaT_chns)/h^2)) 0.5*nojac(if(u^2+v^2 rho_chns*divU_chns+d(rho_chns,x)*u+d(rho_chns,y)*v nojac(0.5*h/max(rho_chns*U_chns,6*Dlogk_chns/h)) nojac(0.5*h/max(rho_chns*U_chns,6*Dlogd_chns/h)) 0.025 1 1.205 1006 0 userdefined gauge 101325 p 0 0 eta_chns etaT_chns 287 0 u v Lag2 Lag2 0 0.5 1 gls 0.25 1 0.01[K]/helem_Tf_chcc 1 -1 C_chcc*etaT_chns 0.025 0.025 0 0 0.025 1.205 1006 1 u v 0 0.025 1 1.205 1006 0 userdefined gauge 101325 0 0 0 0 0 287 0 0 0 Lag2 Lag2 0 0.5 0 gls 0.25 0 0.01[K]/helem_Ts_chcc2 1 -1 0 0.025 0.025 0 0 0.025 1.205 1006 1 0 0 0 rho_chcc 1 0 0 1 0 0 0 0 power 0 1 1 Tf 1 0 0 0.5 0.5 sc 0.35 1 0.1 0 Lagp2p1 Lagp2p1 -test(nojac(rho_chns)*(nojac(u)*ux+nojac(v)*uy+px)-nojac(eta_chns+etaT_chns)*(2*uxx+uyy+vxy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxx+vyx))*taum_chns*res_u_chns-test(nojac(rho_chns)*(nojac(u)*vx+nojac(v)*vy+py)-nojac(eta_chns+etaT_chns)*(vxx+uyx+2*vyy)+nojac(2*(eta_chns+etaT_chns)/3)*(uxy+vyy))*taum_chns*res_v_chns-test(-nojac(rho_chns*alphap_chns)*(nojac(u)*px+nojac(v)*py))*taue_Tf_chcc*res_Tf_chcc-test(divU_chns+nojac(rho_chns*betaT_chns)*(nojac(u)*px+nojac(v)*py))*tauc_chns*res_p_chns (d(x,xi1)^2+d(x,xi2)^2)^2+2*(d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2))^2+(d(y,xi1)^2+d(y,xi2)^2)^2 Lagp2p1 1 1 1 1 1 1 1 0.5*hmax_chns 0 1 U_chns -d(rho_chns,Tf)/rho_chns -d(rho_chns,p)/rho_chns d(x,xi1)^2+d(x,xi2)^2 d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2) d(y,xi1)^2+d(y,xi2)^2 -nojac(0.5*min(ck_chns*sqrt((tauc_chns*res_p_chns/(nojac(rhoint_g1_chns/vol_g1_chns)*nojac(sqrt(u2int_g1_chns/vol_g1_chns))))^2+(taum_chns*res_u_chns)^2+(taum_chns*res_v_chns)^2+(taue_Tf_chcc*nojac(sqrt(u2int_g1_chns/vol_g1_chns))*res_Tf_chcc/nojac(Tfint_g1_chns/Tf_vol_g1_chns))^2),U_ref_chns)*min(gijgij_chns^(-0.25),rho_chns*U_ref_chns/(48*(eta_chns+etaT_chns))))*rho_chns*(g11_chns*(betaT_chns*px*test(px)+alphap_chns*Tfx*test(px)+ux*test(ux)+vx*test(vx)+C_chcc*Tfx*test(Tfx))+g21_chns*(betaT_chns*py*test(px)+alphap_chns*Tfy*test(px)+uy*test(ux)+vy*test(vx)+C_chcc*Tfy*test(Tfx))+g21_chns*(betaT_chns*px*test(py)+alphap_chns*Tfx*test(py)+ux*test(uy)+vx*test(vy)+C_chcc*Tfx*test(Tfy))+g22_chns*(betaT_chns*py*test(py)+alphap_chns*Tfy*test(py)+uy*test(uy)+vy*test(vy)+C_chcc*Tfy*test(Tfy))) {0,0} {0,0} {1,2} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 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{"q0_chcc","q0_chcc2","-rho_chns*Cmu_chns^0.25*exp(0.5*logk)*u/(log(abs(dwplus_chns))/kappa_chns+Cplus_chns)-nx_chns*p","-rho_chns*Cmu_chns^0.25*exp(0.5*logk)*v/(log(abs(dwplus_chns))/kappa_chns+Cplus_chns)-ny_chns*p","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"-Tf+T0_chcc","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","-Ts+T0_chcc2","0","0","0","0","0"} {"0","-Ts+T0_chcc2","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 123456 123456 123456 1723456 7 7 7 1 1111111 1111111 1111111 1111111 1111111 1111111 1111111 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 1111211 {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*dflux_Tf_x_chcc+ny_chcc*dflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*cflux_Tf_x_chcc+ny_chcc*cflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc nx_chcc*tflux_Tf_x_chcc+ny_chcc*tflux_Tf_y_chcc 0 0 0 11.82560274465786+log(dwplus_chns)/kappa_chns-0.5*(1+log(1000*kappa_chns))/kappa_chns nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*dflux_Ts_x_chcc2+ny_chcc2*dflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*cflux_Ts_x_chcc2+ny_chcc2*cflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 nx_chcc2*tflux_Ts_x_chcc2+ny_chcc2*tflux_Ts_y_chcc2 (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx)) (eta_chns+etaT_chns)*(nx_chns*(2*ux-2*divU_chns/3)+ny_chns*(uy+vx))tlz -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) -nx_chns*p+nx_chns*(eta_chns+etaT_chns)*(2*ux-2*divU_chns/3)+ny_chns*(eta_chns+etaT_chns)*(uy+vx) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) (eta_chns+etaT_chns)*(nx_chns*(vx+uy)+ny_chns*(2*vy-2*divU_chns/3)) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) -ny_chns*p+nx_chns*(eta_chns+etaT_chns)*(vx+uy)+ny_chns*(eta_chns+etaT_chns)*(2*vy-2*divU_chns/3) 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts 0 0 0 0 1 1 1 1 nx nx nx unx ny ny ny uny 0 0 0 rho_chcc*C_chcc*Cmu_chns^0.25*sqrt(k0_chns)*(Ts-Tf)/Tplus_chcc 273.15 400 273.15 Ts -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 1 1 1 1 dnx nx nx nx dny ny ny ny -q0_chcc 0 0 0 273.15 400 300 273.15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 exp(logk) exp(logk) exp(logk) exp(logk) 0.005 0.005 0.005 0.005 10 10 10 10 1 1 1 1 0.01 0.01 0.01 0.01 0.05 0.05 0.05 0.05 0.5*h 0.5*h 0.5*h 0.5*h rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns rho_chns*dw_chns*Cmu_chns^0.25*exp(0.5*logk)/eta_chns 100 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0.5*pi 0.5*pi 0.5*pi 0.5*pi h h h h nx nx nx unx ny ny ny uny 0 0 0 0 0 0 0 0 {0,0,0,0,0,0,0} {0,0,0,0,0,0,0} {1,2,3,4,5,6,7} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 123456 1723456 7 1 1111111 1111111 1111111 {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","","","",""} {"Tf","Ts","u","v","p","logk","logd"} 0 0 {0,0,0,0,0,0} {0,0,0,0,0,0} {1,1,2,2,3,3} 8.31451 8.31451 10 1.44 1.92 1 1.3 0.09 5.5 0.42 elcplscalar {"1"} nojac(rho_chns) nojac(1) nojac(max((+(u)^2+(v)^2),(eta_chns/rho_chns/h)^2)) nojac(-1/max(emetric(u,v),(visc_vel_fact_chns*eta_chns/rho_chns)^2*emetric2)) refrefrefrefrefrefrefref 00 00 00 00 {"1"} {"2"} {"rhoint_g1_chns","vol_g1_chns","u2int_g1_chns","mdt2_cfl_g1_chns"} {"1","2","3","4"} {"4"} elcplscalar {"1"} nojac(Tf) nojac(1) refrefrefref 00 00 {"1"} {"2"} {"Tfint_g1_chns","Tf_vol_g1_chns"} {"1","2"} {} elconst nojac(sqrt(-mdt2_cfl_g1_chns))

{0} {0} chcc weak SI uq~ t�` off timeseg time auto 1.0E-6 50 tol 100 1 off on on 1.0 1.0E-4 10.0 off on 0.0010 50 lumped automatic auto on 1 5 tol 10 1 off const 1.0 once 1.0 1.0E-2 10.0 0.0010 0.01 range(0,0.1,0.1) 0 0.1 0.1 11 step none tlist manual genalpha 5*dt_cfl_g1_chns off 15 off on on on on on on off on on 0.0010 5 1 0.1 0.5 linear off off maybe bweuler 1 off 6 0 300 0.0 0 lambda 0 step none off 1 off 0.0 0.0 0.0 on auto off nonsym eliminate auto 1000 on auto on off off on off currgeom l2 10000000 longest weak on 0 1 2 1 fltpft 2 1.7 0.5 0.5 on off off sensitivity adjoint on cholesky analytic 500 10 1.0e-6 1.0e-6 1.0e-6 1.0e-6 0 off v,u,Ts,p,logd,logk,Tf v,u,Ts,p,logd,logk,Tf on init_storedsol_radio Automatic 0 u_storedsol_radio Automatic 0 off off off Pressure,Full off pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on u v p 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd off 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on logd logk 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on Tf Ts 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on 1 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 2 iter 0.5 0.8 3 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 3 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery off off off 1 on pardiso 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 none genalpha off 0.5 once 5 manual 100 0.8 once 0.8 once 50 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 0.8 once 0.8 once 5*dt_cfl_g1_chns 1 on pardiso 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 none genalpha off 0.5 once 5 manual 100 0.8 once 0.8 once 50 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 0.8 once 0.8 once 5*dt_cfl_g1_chns 1 on pardiso 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 none genalpha off 0.5 once 5 manual 100 0.8 once 0.8 once 50 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 0.8 once 0.8 once 5*dt_cfl_g1_chns 1 on pardiso 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 none genalpha off 0.5 once 5 manual 100 0.8 once 0.8 once 50 1 pardiso 1.0E-3 20.0 3 pardiso 1.0E-3 20.0 1 pardiso 1.0E-3 20.0 0.8 once 0.8 once 5*dt_cfl_g1_chns Pressure off timeseg auto 1.0E-6 50 tol 100 1 off on on 1.0 1.0E-4 10.0 off on 0.0010 50 lumped automatic auto on 1 5 tol 10 1 off const 1.0 once 1.0 1.0E-2 10.0 0.0010 0.01 range(0,0.1,0.1) 0 0.1 0.1 11 step none tlist manual genalpha 5*dt_cfl_g1_chns off 15 off on on on on on on off on on 0.0010 5 1 0.1 0.5 linear off off maybe bweuler 1 off 6 0 300 0.0 0 lambda 0 step none off 1 off 0.0 0.0 0.0 on auto off nonsym eliminate auto 1000 on auto on off off on off currgeom l2 10000000 longest weak on 0 1 2 1 fltpft 2 1.7 0.5 0.5 on off off sensitivity adjoint on cholesky analytic 500 10 1.0e-6 1.0e-6 1.0e-6 1.0e-6 0 off v,p,u Ts,v,u,Tf,logk,logd,p on init_expr_radio Automatic 0 u_init_radio Automatic 0 off off on pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on u v p 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on logd logk 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on Tf Ts 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on 1 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 2 iter 0.5 0.8 3 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 3 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery off Full off timeseg auto 1.0E-6 50 tol 100 1 off on on 1.0 1.0E-4 10.0 off on 0.0010 50 lumped automatic auto on 1 5 tol 10 1 off const 1.0 once 1.0 1.0E-2 10.0 0.0010 0.01 range(0,0.1,0.1) 0 0.1 0.1 11 step none tlist manual genalpha 5*dt_cfl_g1_chns off 15 off on on on on on on off on on 0.0010 5 1 0.1 0.5 linear off off maybe bweuler 1 off 6 0 300 0.0 0 lambda 0 step none off 1 off 0.0 0.0 0.0 on auto off nonsym eliminate auto 1000 on auto on off off on off currgeom l2 10000000 longest weak on 0 1 2 1 fltpft 2 1.7 0.5 0.5 on off off sensitivity adjoint on cholesky analytic 500 10 1.0e-6 1.0e-6 1.0e-6 1.0e-6 0 off logd,logk,p,u,v,Ts,Tf Ts,v,u,Tf,logk,logd,p on init_expr_radio Automatic 0 u_init_radio Automatic 0 off off on pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on u v p 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on logd logk 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on t�4 Tf Ts 1e-3 1.e-3 pardiso linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-3 20.0 100 left right 1 50 1 1.0 3 6 v 5000 512.0 off 2.0 on droptol gmres 0.02 100 0.8 on uncoupled 1.0 on on shape regular on 2 2 off Geom1 on on 1 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 2 iter 0.5 0.8 3 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery 3 iter 0.5 0.8 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 once onevery off Geom1 0 off off off 1058265 COMSOL 3.5.0.608 1248127919078 1248111647843 off html off a4 off full on Geom1 post 0 -0.22354266998993247 1.1984540471341898 -0.05745991092836298 1.0411022587714491 -1.0 1.0 0.1 0.1 0.1 -0.7109983585620612 0.7109983585620612 -0.549281084849906 0.549281084849906 0.4874556885721287 0.49182117392154306 7.109983585620611 0.4874556885721287 0.49182117392154306 0.0 0.0 1.0 0.0 point headlight on 255 255 255 0.4874557 0.49182117 7.1099834 directional light 1 on 255 255 255 1.0 -1.0 1.0 directional light 2 on 255 255 255 -1.0 1.0 -1.0 directional light 3 on 255 255 255 -1.0 -1.0 1.0 directional light 4 on 255 255 255 1.0 -1.0 -1.0 on on on on off on on on on on on on off off off off 1.0 1.0 1.0 size cycle off off 0.5 orbit none none off off off off on off off on on on on on on 1.0E-6 intersection 1.0 normal off 2 1.0 off on off on off off on on 5 on 1 0.3 1.3 0.001 1 10 1.0 1.0 on 0 regular {"","","","","",""} {"","","","","",""} {"","","",".03","","",""} {"","","","","","",""} {"","","","","","",""} {"","","","1.1","","",""} {"",""} {"triaf","triaf"} {".1",""} on {"Ttot"} on 300.0244140625 400.0 on off K {"Ttot"} off K Rainbow off on on 255,0,0 interp fill off {"Ttot"} on off K {"Ttot"} off K {"Ttot"} on off K Rainbow off on on 255,0,0 20 off off step none off off {"dwplus_chns"} on 5.318418758815641E-4 100.0 on off 1 off Rainbow off on on 255,0,0 interp off sub {"tflux_Tf_x_chcc","tflux_Tf_y_chcc"} off W/m^2 {"",""} off {"Ttot"} off K 15 off 15 off step none step none arrow proportional 255,0,0 on 1 off {"u","v"} m/s off 255,0,0 {"Ttot"} K Rainbow off on {"Ttot"} off K 20 sub off step none step none 0.001 0.01 0.01 Inf 5000 on off 0.05 20 off 1 0.5 1.3 0.5 none off mass lines khanforce_chns radius,partr,1e-4 4*pi/3*1e-9 {"sign(u-partu)*pi*partr^2*rho_chns*(1.84*(abs(u-partu))^(2/3.45-0.31)*(2*partr*rho_chns/eta_chns)^(-0.31)+0.293*(abs(u-partu))^(2/3.45+0.06)*(2*partr*rho_chns/eta_chns)^0.06)^3.45","sign(v-partv)*pi*partr^2*rho_chns*(1.84*(abs(v-partv))^(2/3.45-0.31)*(2*partr*rho_chns/eta_chns)^(-0.31)+0.293*(abs(v-partv))^(2/3.45+0.06)*(2*partr*rho_chns/eta_chns)^0.06)^3.45",""} {"tflux_Tf_x_chcc","tflux_Tf_y_chcc"} W/m^2 on {"0","0","0"} partstart_explicit 10 off step none {"0","0"} step none step none off 255,0,0 {"Ttot"} K Rainbow off on 255,0,0 on 1 once step none stick 0.001 off {""} {""} off on on 0.001 partt off 5 0.001 off {"",""} {"",""} off on on 0.001 {"partu","partv","partw"} partt off 5 off {"Ttot"} off on K off off on off on 3 {"Geom1"} 0 stored step none on on off all on off off on on {"tflux_Tf_x_chcc","tflux_Tf_y_chcc"} W/m^2 {"",""} on 1 stored step none moviefile AVI 640 480 10 full 11 off off off off 0 stored step none off auto 4 on off 0 stored step none off auto 4 on {"Ttot"} off m^2*K 0 stored step none {"Ttot"} on on off K Rainbow off on on 255,0,0 interp fill off on off arc off solid cyclecolor none off off 255,0,0 Rainbow off on on 255,0,0 interp fill off off solid cyclecolor none off off 255,0,0 255,0,0 0 stored step none on on on {"lin","lin"} on on 1 0 off {"Ttot"} off K arc off {"Ttot"} K solid cyclecolor none off off 255,0,0 Rainbow off on on 255,0,0 interp fill 200 {"0.5","0.55","0.8","0.8"} 5 off off step none {"Ttot"} off K off {"Ttot"} m^2*K solid cyclecolor none off off 255,0,0 {"0","0"} step none step none 255,0,0 0 stored step none on on on {"lin","lin"} on 0 off element 2 off off element 2 {"Ttot"} off off K 10 off 10 off step none step none element 2 0 stored step none on ptd off 2 coorddata off off on 0 stored step none step none {"Ttot"} off K {"0","0"} {} {} off solid cyclecolor none off off 255,0,0 on on on {"lin","lin"} 0 stored step none {} {} {} 0 0,1,0,0,0,1,0,0,0 0,1,0,0,0,0,1,0,0,0,0,1 Geom1 10 0 up on off 128,128,128 off on 192,192,192 on 0,0,0 off all 1 random Rainbow off on uq~ q~uq~ srcom.femlab.geom.Rect�ȉ,E��6DlxDlyLlxExprt!Lcom/femlab/geom/Geom$Expression;LlyExprq~8xrcom.femlab.geom.Prim2�Z��~��DrotLbaseq~Lconstrq~[post[D[posExprt"[Lcom/femlab/geom/Geom$Expression;LrotExprq~8xrcom.femlab.geom.Geom2�V���c/Oxrcom.femlab.geom.Geom͹�6��{L geomAssoctLcom/femlab/geom/GeomAssoc;Lversionq~xpwq~w`ur[B���T�xp`Geom2�����|�=-C��6?������?������?�?������?������?��?��?��?� BezierCurve�?�?�? 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