��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: $t$Date: 2008/12/03 17:02:19 $xur[Ljava.lang.String;��V��{Gxpt modelinfotxfemtguitg1tg2tfem1uq~ q~t femstructt guistructtdrawq~tgeomxsrcom.femlab.api.client.ModelInfo�^���%Ldescrq~LdocURLq~[imaget[Bxpwpt"Model is with a rotating magnetic field in a cylinder with ferrofluid with boundary condition of omega=0. If this boundary condition is removed there is no flow. Parameters picked are similar to those from Chaves's papers normalized. Look at Calculation_normalized_velocity_alexchaves.xls pxuq~ t�` COMSOL 3.5 a 0 603 $Name: $ $Date: 2008/12/03 17:02:19 $ 2 geom on on off on on off on 0.1 t FlNavierStokes cartesian {"u","v","w","p","nxw","nyw","nzw"} {"x","y","z"} ns {"shlag(2,'u')","shlag(2,'v')","shlag(2,'w')","shlag(1,'p')"} 4 2 2 1 2 off _ns Lagp2p1 static Off ref off {"lm3","lm4","lm5","lm6"} ideal 0 0 1 {1,1,1,1,1,1,1,1,2,1,1,1} int walltype uv p noslip ntotstress totstress cont U0in 0 0 0 0 0 {"0","0","0"} {"0","0","0"} 1 0 0 0 0 {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1234 1234 1112 1112 1112 1112 {"0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0"} 0 1 1 0 1 eta+zeta 0 2*zeta*sy+FMx 0 -2*zeta*sx+FMy 0 FMz 0 0.5 1 gls 0.25 1 0 sc 0.35 0 1 0.1 0 navierstokes usesGMG 0 Lagp2p1 0 Lagp2p1 0 0 0 {1,2} 10 FlDiffusion cartesian {"s"} {"x","y","z"} di {"shlag(2,'s')"} 4 2 2 off _di Lag2 static ref off {"lm7"} ideal {"0"} {"0"} {"0"} {"0"} 1 {"0"} {"cont"} {"N0"} {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1 1 1 {"0"} 0 1 {"1"} {"etaprime"} {"1","0","0","0","1","0","0","0","1"} {"1","0","0","0","1","0","0","0","1"} {"iso"} {"0"} {"T+2*zeta*(vx-uy-2*s)"} {"1"} {1,2} FlConvDiff cartesian {"M_x"} {"x","y","z"} cd {"shlag(2,'M_x')"} 4 2 2 off _cd Lag2 time noncons ref off {"lm8"} ideal {"0"} {"0"} 1 {"0"} {"cont"} {"N0"} {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1 1 1 {"0"} 0 1 {"1"} {"0"} {"1","0","0","0","1","0","0","0","1"} {"1","0","0","0","1","0","0","0","1"} {"iso"} {"0"} {"-s*M_y-((M_x-M_eqx)/(omegatau))"} {"1"} {"0"}{"u"} {"0"} {"v"} {"0"} {"w"} {"0"} {"0.5"} {"0"} {"pgc"} {"0.25"} {"0"} {"sc"} {"0.35"} {1,2} FlConvDiff cartesian {"M_y"} {"x","y","z"} cd2 {"shlag(2,'M_y')"} 4 2 2 off _cd2 Lag2 time noncons ref off {"lm9"} ideal {"0"} {"0"} 1 {"0"} {"cont"} {"N0"} {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1 1 1 {"0"} 0 1 {"1"} {"0"} {"1","0","0","0","1","0","0","0","1"} {"1","0","0","0","1","0","0","0","1"} {"iso"} {"0"} {"s*M_x-((M_y-M_eqy)/omegatau)"} {"1"} {"0"}{"u"} {"0"} {"v"} {"0"} {"w"} {"0"} {"0.5"} {"0"} {"pgc"} {"0.25"} {"0"} {"sc"} {"0.35"} {1,2} FlConvDiff cartesian {"M_z"} {"x","y","z"} cd3 {"shlag(2,'M_z')"} 4 2 2 off _cd3 Lag2 time noncons ref off {"lm1"} ideal {"0"} {"0"} 1 {"0"} {"cont"} {"N0"} {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1 1 1 {"0"} 0 1 {"1"} {"1","0","0","0","1","0","0","0","1"} {"1","0","0","0","1","0","0","0","1"} {"iso"} {"0"} {"-((M_z-M_eqz)/omegatau)"} {"1"} {"0"}{"u"} {"0"} {"v"} {"0"} {"w"} {"0"} {"0.5"} {"0"} {"pgc"} {"0.25"} {"0"} {"sc"} {"0.35"} {1,2} FlPDEG cartesian {"avgv","avgv_t"} {"x","y","z"} g2 {"shlag(2,'avgv')"} 4 2 2 off _g2 Lag2 off ref off {"lm12","lm13"} {"0"} {"0"} {"0"} {"0"} ideal {1,1,1,1,1,1,1,1,1,1,1,1} {"0"} {"0"} {"0"} {"0"} ideal {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} {"0"} {"0"} {"0"} {"0"} ideal {"0"} {"-avgv"} dir {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1} 1 1 1 {"0","0"} {"0","0"} 0 1 {"0","0"} {"0","0"} {"0"} {"0"} {"0"} {"0"} ideal {"0"} 1 {"0"} {"1"} {"1"} {"v"} {"-avgvx","-avgvy","-avgvz"} {"0","0","0"} {1,2} MagnetostaticsNoCurrents cartesian {"Vm"} {"x","y","z"} emnc ACDC {"shlag(2,'Vm')"} 4 2 2 on _emnc Lag2 Vm ref off {"lm2"} ideal 0 0 {1,1,1,1,1,1,1,1,1,1,1,1} {"0","0","0"} {"0","0","0"} 0 H0*(x*cos(t)+y*sin(t))*flc2hs(t-1,0.05) Vm cont 1 1 0 0 0 sym 2 {1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1} 1 1 1 {"0"} 1 {"1","0","0","0","1","0","0","0","1"} {"1","0","0","0","1","0","0","0","1"} mur M {"0","0","0"} {"M_x","M_y","M_z"}
{"0","0","0"} {"0","0","0"}
{"mu0_emnc*Hx_emnc","mu0_emnc*Hy_emnc","mu0_emnc*Hz_emnc"} {"mu0_emnc*Hx_emnc","mu0_emnc*Hy_emnc","mu0_emnc*Hz_emnc"} mu0_emnc*normH_emnc {} {} {"0","0","1"} {"0","0","1"} {"0","0","0"} {"0","0","0"} {"Sdx_guess_emnc","Sdy_guess_emnc","Sdz_guess_emnc"} {"Sdx_guess_emnc","Sdy_guess_emnc","Sdz_guess_emnc"} dr_guess_emnc {"S0x_guess_emnc","S0y_guess_emnc","S0z_guess_emnc"} {"S0x_guess_emnc","S0y_guess_emnc","S0z_guess_emnc"} R0_guess_emnc {"0","0","0"} {"0","0","0"} none {"0","0","0"} {"0","0","0"} 0 {"0","0","0"} {"0","0","0"} {"0","0","1"} {"0","0","1"} {1,2}
1
{"x","y","z"} {"ref"} {"shlag(2,'Vm')","shlag(2,'u')","shlag(2,'v')","shlag(2,'w')","shlag(1,'p')","shlag(2,'s')","shlag(2,'M_x')","shlag(2,'M_y')","shlag(2,'M_z')","shlag(2,'avgv')"} 4 2 2 1 2 on 1
general
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{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"}{"0","0","0"} {"-2*eta_ns*ux+p","-eta_ns*(uy+vx)","-eta_ns*(uz+wx)"}{"-eta_ns*(vx+uy)","-2*eta_ns*vy+p","-eta_ns*(vz+wy)"}{"-eta_ns*(wx+uz)","-eta_ns*(wy+vz)","-2*eta_ns*wz+p"}{"0","0","0"}{"-Dxx_s_di*sx-Dxy_s_di*sy-Dxz_s_di*sz","-Dyx_s_di*sx-Dyy_s_di*sy-Dyz_s_di*sz","-Dzx_s_di*sx-Dzy_s_di*sy-Dzz_s_di*sz"}{"-Dxx_M_x_cd*M_xx-Dxy_M_x_cd*M_xy-Dxz_M_x_cd*M_xz","-Dyx_M_x_cd*M_xx-Dyy_M_x_cd*M_xy-Dyz_M_x_cd*M_xz","-Dzx_M_x_cd*M_xx-Dzy_M_x_cd*M_xy-Dzz_M_x_cd*M_xz"}{"-Dxx_M_y_cd2*M_yx-Dxy_M_y_cd2*M_yy-Dxz_M_y_cd2*M_yz","-Dyx_M_y_cd2*M_yx-Dyy_M_y_cd2*M_yy-Dyz_M_y_cd2*M_yz","-Dzx_M_y_cd2*M_yx-Dzy_M_y_cd2*M_yy-Dzz_M_y_cd2*M_yz"}{"-Dxx_M_z_cd3*M_zx-Dxy_M_z_cd3*M_zy-Dxz_M_z_cd3*M_zz","-Dyx_M_z_cd3*M_zx-Dyy_M_z_cd3*M_zy-Dyz_M_z_cd3*M_zz","-Dzx_M_z_cd3*M_zx-Dzy_M_z_cd3*M_zy-Dzz_M_z_cd3*M_zz"}{"0","0","0"}{"0","0","0"} 1 1111111111 1111111111 {"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"} sqrt(u^2+v^2+w^2) wy-vz uz-wx vx-uy sqrt(Vx_ns^2+Vy_ns^2+Vz_ns^2) ux+vy+wz rho_ns*U_ns*h/eta_ns rho_ns*(u*ux+v*uy+w*uz)+px-F_x_ns+if(gmg_level>0,0,-eta_ns*(2*uxx+uyy+vxy+uzz+wxz)) rho_ns*(u*vx+v*vy+w*vz)+py-F_y_ns+if(gmg_level>0,0,-eta_ns*(vxx+uyx+2*vyy+vzz+wyz)) rho_ns*(u*wx+v*wy+w*wz)+pz-F_z_ns+if(gmg_level>0,0,-eta_ns*(wxx+uzx+wyy+vzy+2*wzz)) rho_ns*u rho_ns*v rho_ns*w eta_ns rho_ns nojac(1/max(2*rho_ns*sqrt(emetric(u,v,w)),48*eta_ns/h^2)) 0.5*nojac(if(u^2+v^2+w^2 rho_ns*divU_ns sx -Dxx_s_di*sx-Dxy_s_di*sy-Dxz_s_di*sz sy -Dyx_s_di*sx-Dyy_s_di*sy-Dyz_s_di*sz sz -Dzx_s_di*sx-Dzy_s_di*sy-Dzz_s_di*sz sqrt(grad_s_x_di^2+grad_s_y_di^2+grad_s_z_di^2) sqrt(dflux_s_x_di^2+dflux_s_y_di^2+dflux_s_z_di^2) M_xx -Dxx_M_x_cd*M_xx-Dxy_M_x_cd*M_xy-Dxz_M_x_cd*M_xz M_x*u_M_x_cd dflux_M_x_x_cd+cflux_M_x_x_cd M_xy -Dyx_M_x_cd*M_xx-Dyy_M_x_cd*M_xy-Dyz_M_x_cd*M_xz M_x*v_M_x_cd dflux_M_x_y_cd+cflux_M_x_y_cd M_xz -Dzx_M_x_cd*M_xx-Dzy_M_x_cd*M_xy-Dzz_M_x_cd*M_xz M_x*w_M_x_cd dflux_M_x_z_cd+cflux_M_x_z_cd u_M_x_cd v_M_x_cd w_M_x_cd sqrt(grad_M_x_x_cd^2+grad_M_x_y_cd^2+grad_M_x_z_cd^2) sqrt(dflux_M_x_x_cd^2+dflux_M_x_y_cd^2+dflux_M_x_z_cd^2) sqrt(cflux_M_x_x_cd^2+cflux_M_x_y_cd^2+cflux_M_x_z_cd^2) sqrt(tflux_M_x_x_cd^2+tflux_M_x_y_cd^2+tflux_M_x_z_cd^2) h*sqrt(beta_M_x_x_cd^2+beta_M_x_y_cd^2+beta_M_x_z_cd^2)/Dm_M_x_cd (Dxx_M_x_cd*u_M_x_cd^2+Dxy_M_x_cd*u_M_x_cd*v_M_x_cd+Dxz_M_x_cd*u_M_x_cd*w_M_x_cd+Dyx_M_x_cd*v_M_x_cd*u_M_x_cd+Dyy_M_x_cd*v_M_x_cd^2+Dyz_M_x_cd*v_M_x_cd*w_M_x_cd+Dzx_M_x_cd*w_M_x_cd*u_M_x_cd+Dzy_M_x_cd*w_M_x_cd*v_M_x_cd+Dzz_M_x_cd*w_M_x_cd^2)/(u_M_x_cd^2+v_M_x_cd^2+w_M_x_cd^2+eps) -Dxx_M_x_cd*M_xxx-Dxy_M_x_cd*M_xxy-Dxz_M_x_cd*M_xxz+M_xx*u_M_x_cd-Dyx_M_x_cd*M_xyx-Dyy_M_x_cd*M_xyy-Dyz_M_x_cd*M_xyz+M_xy*v_M_x_cd-Dzx_M_x_cd*M_xzx-Dzy_M_x_cd*M_xzy-Dzz_M_x_cd*M_xzz+M_xz*w_M_x_cd-R_M_x_cd M_xx*u_M_x_cd+M_xy*v_M_x_cd+M_xz*w_M_x_cd-R_M_x_cd Dts_M_x_cd M_yx -Dxx_M_y_cd2*M_yx-Dxy_M_y_cd2*M_yy-Dxz_M_y_cd2*M_yz M_y*u_M_y_cd2 dflux_M_y_x_cd2+cflux_M_y_x_cd2 M_yy -Dyx_M_y_cd2*M_yx-Dyy_M_y_cd2*M_yy-Dyz_M_y_cd2*M_yz M_y*v_M_y_cd2 dflux_M_y_y_cd2+cflux_M_y_y_cd2 M_yz -Dzx_M_y_cd2*M_yx-Dzy_M_y_cd2*M_yy-Dzz_M_y_cd2*M_yz M_y*w_M_y_cd2 dflux_M_y_z_cd2+cflux_M_y_z_cd2 u_M_y_cd2 v_M_y_cd2 w_M_y_cd2 sqrt(grad_M_y_x_cd2^2+grad_M_y_y_cd2^2+grad_M_y_z_cd2^2) sqrt(dflux_M_y_x_cd2^2+dflux_M_y_y_cd2^2+dflux_M_y_z_cd2^2) sqrt(cflux_M_y_x_cd2^2+cflux_M_y_y_cd2^2+cflux_M_y_z_cd2^2) sqrt(tflux_M_y_x_cd2^2+tflux_M_y_y_cd2^2+tflux_M_y_z_cd2^2) h*sqrt(beta_M_y_x_cd2^2+beta_M_y_y_cd2^2+beta_M_y_z_cd2^2)/Dm_M_y_cd2 (Dxx_M_y_cd2*u_M_y_cd2^2+Dxy_M_y_cd2*u_M_y_cd2*v_M_y_cd2+Dxz_M_y_cd2*u_M_y_cd2*w_M_y_cd2+Dyx_M_y_cd2*v_M_y_cd2*u_M_y_cd2+Dyy_M_y_cd2*v_M_y_cd2^2+Dyz_M_y_cd2*v_M_y_cd2*w_M_y_cd2+Dzx_M_y_cd2*w_M_y_cd2*u_M_y_cd2+Dzy_M_y_cd2*w_M_y_cd2*v_M_y_cd2+Dzz_M_y_cd2*w_M_y_cd2^2)/(u_M_y_cd2^2+v_M_y_cd2^2+w_M_y_cd2^2+eps) -Dxx_M_y_cd2*M_yxx-Dxy_M_y_cd2*M_yxy-Dxz_M_y_cd2*M_yxz+M_yx*u_M_y_cd2-Dyx_M_y_cd2*M_yyx-Dyy_M_y_cd2*M_yyy-Dyz_M_y_cd2*M_yyz+M_yy*v_M_y_cd2-Dzx_M_y_cd2*M_yzx-Dzy_M_y_cd2*M_yzy-Dzz_M_y_cd2*M_yzz+M_yz*w_M_y_cd2-R_M_y_cd2 M_yx*u_M_y_cd2+M_yy*v_M_y_cd2+M_yz*w_M_y_cd2-R_M_y_cd2 Dts_M_y_cd2 M_zx -Dxx_M_z_cd3*M_zx-Dxy_M_z_cd3*M_zy-Dxz_M_z_cd3*M_zz M_z*u_M_z_cd3 dflux_M_z_x_cd3+cflux_M_z_x_cd3 M_zy -Dyx_M_z_cd3*M_zx-Dyy_M_z_cd3*M_zy-Dyz_M_z_cd3*M_zz M_z*v_M_z_cd3 dflux_M_z_y_cd3+cflux_M_z_y_cd3 M_zz -Dzx_M_z_cd3*M_zx-Dzy_M_z_cd3*M_zy-Dzz_M_z_cd3*M_zz M_z*w_M_z_cd3 dflux_M_z_z_cd3+cflux_M_z_z_cd3 u_M_z_cd3 v_M_z_cd3 w_M_z_cd3 sqrt(grad_M_z_x_cd3^2+grad_M_z_y_cd3^2+grad_M_z_z_cd3^2) sqrt(dflux_M_z_x_cd3^2+dflux_M_z_y_cd3^2+dflux_M_z_z_cd3^2) sqrt(cflux_M_z_x_cd3^2+cflux_M_z_y_cd3^2+cflux_M_z_z_cd3^2) sqrt(tflux_M_z_x_cd3^2+tflux_M_z_y_cd3^2+tflux_M_z_z_cd3^2) h*sqrt(beta_M_z_x_cd3^2+beta_M_z_y_cd3^2+beta_M_z_z_cd3^2)/Dm_M_z_cd3 (Dxx_M_z_cd3*u_M_z_cd3^2+Dxy_M_z_cd3*u_M_z_cd3*v_M_z_cd3+Dxz_M_z_cd3*u_M_z_cd3*w_M_z_cd3+Dyx_M_z_cd3*v_M_z_cd3*u_M_z_cd3+Dyy_M_z_cd3*v_M_z_cd3^2+Dyz_M_z_cd3*v_M_z_cd3*w_M_z_cd3+Dzx_M_z_cd3*w_M_z_cd3*u_M_z_cd3+Dzy_M_z_cd3*w_M_z_cd3*v_M_z_cd3+Dzz_M_z_cd3*w_M_z_cd3^2)/(u_M_z_cd3^2+v_M_z_cd3^2+w_M_z_cd3^2+eps) -Dxx_M_z_cd3*M_zxx-Dxy_M_z_cd3*M_zxy-Dxz_M_z_cd3*M_zxz+M_zx*u_M_z_cd3-Dyx_M_z_cd3*M_zyx-Dyy_M_z_cd3*M_zyy-Dyz_M_z_cd3*M_zyz+M_zy*v_M_z_cd3-Dzx_M_z_cd3*M_zzx-Dzy_M_z_cd3*M_zzy-Dzz_M_z_cd3*M_zzz+M_zz*w_M_z_cd3-R_M_z_cd3 M_zx*u_M_z_cd3+M_zy*v_M_z_cd3+M_zz*w_M_z_cd3-R_M_z_cd3 Dts_M_z_cd3 sqrt(avgvx^2+avgvy^2+avgvz^2) sqrt(ga9x^2+ga9y^2+ga9z^2) 0 0 x 0 0 y 0 0 z 0 0 detJ_emnc muxx_emnc*Hx_emnc+muxy_emnc*Hy_emnc+muxz_emnc*Hz_emnc mu0_emnc*(Hx_emnc+Mx_emnc) muyx_emnc*Hx_emnc+muyy_emnc*Hy_emnc+muyz_emnc*Hz_emnc mu0_emnc*(Hy_emnc+My_emnc) muzx_emnc*Hx_emnc+muzy_emnc*Hy_emnc+muzz_emnc*Hz_emnc mu0_emnc*(Hz_emnc+Mz_emnc) mu0_emnc*mur_emnc mu0_emnc*murxx_emnc mu0_emnc*murxy_emnc mu0_emnc*murxz_emnc mu0_emnc*muryx_emnc mu0_emnc*muryy_emnc mu0_emnc*muryz_emnc mu0_emnc*murzx_emnc mu0_emnc*murzy_emnc mu0_emnc*murzz_emnc -Vmx -Vmy -Vmz sqrt(abs(Bx_emnc)^2+abs(By_emnc)^2+abs(Bz_emnc)^2) sqrt(abs(Mx_emnc)^2+abs(My_emnc)^2+abs(Mz_emnc)^2) sqrt(abs(Hx_emnc)^2+abs(Hy_emnc)^2+abs(Hz_emnc)^2) sqrt(abs(Brx_emnc)^2+abs(Bry_emnc)^2+abs(Brz_emnc)^2) 0.5*(Hx_emnc*Bx_emnc+Hy_emnc*By_emnc+Hz_emnc*Bz_emnc) 0.5*(Hx_emnc*Bx_emnc+Hy_emnc*By_emnc+Hz_emnc*Bz_emnc+Mx_emnc*Bx_emnc+My_emnc*By_emnc+Mz_emnc*Bz_emnc) dVol_emnc*Wm_emnc 0 eta+zeta 2*zeta*sy+FMx -2*zeta*sx+FMy FMz 0.5 0.25 sc 0.35 1 0.1 0 Lagp2p1 Lagp2p1 -test(nojac(rho_ns)*(nojac(u)*ux+nojac(v)*uy+nojac(w)*uz)+px+if(gmg_level>0,0,-nojac(eta_ns)*(2*uxx+uyy+vxy+uzz+wxz)))*taum_ns*res_u_ns-test(nojac(rho_ns)*(nojac(u)*vx+nojac(v)*vy+nojac(w)*vz)+py+if(gmg_level>0,0,-nojac(eta_ns)*(vxx+uyx+2*vyy+vzz+wyz)))*taum_ns*res_v_ns-test(nojac(rho_ns)*(nojac(u)*wx+nojac(v)*wy+nojac(w)*wz)+pz+if(gmg_level>0,0,-nojac(eta_ns)*(wxx+uzx+wyy+vzy+2*wzz)))*taum_ns*res_w_ns-test(divU_ns)*tauc_ns*res_p_ns 0 (d(x,xi1)^2+d(x,xi2)^2+d(x,xi3)^2)^2+2*(d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2)+d(y,xi3)*d(x,xi3))^2+(d(y,xi1)^2+d(y,xi2)^2+d(y,xi3)^2)^2+2*(d(z,xi1)*d(x,xi1)+d(z,xi2)*d(x,xi2)+d(z,xi3)*d(x,xi3))^2+2*(d(z,xi1)*d(y,xi1)+d(z,xi2)*d(y,xi2)+d(z,xi3)*d(y,xi3))^2+(d(z,xi1)^2+d(z,xi2)^2+d(z,xi3)^2)^2 U_ns d(x,xi1)^2+d(x,xi2)^2+d(x,xi3)^2 d(y,xi1)*d(x,xi1)+d(y,xi2)*d(x,xi2)+d(y,xi3)*d(x,xi3) d(y,xi1)^2+d(y,xi2)^2+d(y,xi3)^2 d(z,xi1)*d(x,xi1)+d(z,xi2)*d(x,xi2)+d(z,xi3)*d(x,xi3) d(z,xi1)*d(y,xi1)+d(z,xi2)*d(y,xi2)+d(z,xi3)*d(y,xi3) d(z,xi1)^2+d(z,xi2)^2+d(z,xi3)^2 -nojac(0.5*min(ck_ns*sqrt((tauc_ns*res_p_ns/(nojac(rhoint_g1_ns/vol_g1_ns)*nojac(sqrt(u2int_g1_ns/vol_g1_ns))))^2+(taum_ns*res_u_ns)^2+(taum_ns*res_v_ns)^2+(taum_ns*res_w_ns)^2),U_ref_ns)*min(gijgij_ns^(-0.25),rho_ns*U_ref_ns/(48*eta_ns)))*rho_ns*(g11_ns*(ux*test(ux)+vx*test(vx)+wx*test(wx))+g21_ns*(uy*test(ux)+vy*test(vx)+wy*test(wx))+g31_ns*(uz*test(ux)+vz*test(vx)+wz*test(wx))+g21_ns*(ux*test(uy)+vx*test(vy)+wx*test(wy))+g22_ns*(uy*test(uy)+vy*test(vy)+wy*test(wy))+g32_ns*(uz*test(uy)+vz*test(vy)+wz*test(wy))+g31_ns*(ux*test(uz)+vx*test(vz)+wx*test(wz))+g32_ns*(uy*test(uz)+vy*test(vz)+wy*test(wz))+g33_ns*(uz*test(uz)+vz*test(vz)+wz*test(wz))) etaprime etaprime 0 0 0 etaprime 0 0 0 etaprime 1 T+2*zeta*(vx-uy-2*s) 0 0 0 0 0 0 0 0 0 0 1 u v w -s*M_y-(M_x-M_eqx)/omegatau 0 0 0 0 0 0 0 0 0 0 1 u v w s*M_x-(M_y-M_eqy)/omegatau 1 1 0 0 0 1 0 0 0 1 1 u v w -(M_z-M_eqz)/omegatau mu0_emnc*normH_emnc dr_guess_emnc R0_guess_emnc 0 0 0 1 0 0 0 0 0 0 Sdx_guess_emnc Sdy_guess_emnc Sdz_guess_emnc S0x_guess_emnc S0y_guess_emnc S0z_guess_emnc 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 murxx_emnc Bx_emnc/mu0_emnc-Hx_emnc M_x 0 mu0_emnc*Mx_emnc By_emnc/mu0_emnc-Hy_emnc M_y 0 mu0_emnc*My_emnc Bz_emnc/mu0_emnc-Hz_emnc M_z 0 mu0_emnc*Mz_emnc 1 0 0 0 1 0 0 0 1 (normH_emnc>cut)*Ms-(normH_emnc<-cut)*Ms+(normH_emnc<=cut)*(normH_emnc>=-cut)*Xi*Hx (normH_emnc>cut)*Ms-(normH_emnc<-cut)*Ms+(normH_emnc<=cut)*(normH_emnc>=-cut)*Xi*Hy (normH_emnc>cut)*Ms-(normH_emnc<-cut)*Ms+(normH_emnc<=cut)*(normH_emnc>=-cut)*Xi*Hz {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","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","Vm0_emnc-Vm"} {"-u","-v","-w","0","0","0","0","0","0","0"} {"-u","-v","-w","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","test(Vm0_emnc-Vm)"} 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{"0","0","0","0","0","0","0","0","-d(-avgv,u)","0","0","0","0","0","0","0","0","0","-d(-avgv,v)","0","0","0","0","0","0","0","0","0","-d(-avgv,w)","0","0","0","0","0","0","0","0","0","-d(-avgv,p)","0","0","0","0","0","0","0","0","0","-d(-avgv,s)","0","0","0","0","0","0","0","0","0","-d(-avgv,M_x)","0","0","0","0","0","0","0","0","0","-d(-avgv,M_y)","0","0","0","0","0","0","0","0","0","-d(-avgv,M_z)","0","0","0","0","0","0","0","0","0","-d(-avgv,avgv)","0","0","0","0","0","0","0","0","0","-d(-avgv,Vm)","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","-(-nx_cd*u_M_x_cd-ny_cd*v_M_x_cd-nz_cd*w_M_x_cd)*M_x","-(-nx_cd2*u_M_y_cd2-ny_cd2*v_M_y_cd2-nz_cd2*w_M_y_cd2)*M_y","-(-nx_cd3*u_M_z_cd3-ny_cd3*v_M_z_cd3-nz_cd3*w_M_z_cd3)*M_z","0","0"} {"0","0","0","0","0","-(-nx_cd*u_M_x_cd-ny_cd*v_M_x_cd-nz_cd*w_M_x_cd)*M_x","-(-nx_cd2*u_M_y_cd2-ny_cd2*v_M_y_cd2-nz_cd2*w_M_y_cd2)*M_y","-(-nx_cd3*u_M_z_cd3-ny_cd3*v_M_z_cd3-nz_cd3*w_M_z_cd3)*M_z","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","-avgv","0"} {"0","0","0","0","0","0","0","0","-avgv","0"} 1 23456789101 23456789101 1 1111111111 1111111111 1111111111 1112111111 1112111111 1112111111 1112111111 1112111111 1112111111 {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"} eta_ns*(2*nx_ns*ux+ny_ns*(uy+vx)+nz_ns*(uz+wx)) eta_ns*(2*nx_ns*ux+ny_ns*(uy+vx)+nz_ns*(uz+wx)) -nx_ns*p+2*nx_ns*eta_ns*ux+ny_ns*eta_ns*(uy+vx)+nz_ns*eta_ns*(uz+wx) -nx_ns*p+2*nx_ns*eta_ns*ux+ny_ns*eta_ns*(uy+vx)+nz_ns*eta_ns*(uz+wx) eta_ns*(nx_ns*(vx+uy)+2*ny_ns*vy+nz_ns*(vz+wy)) eta_ns*(nx_ns*(vx+uy)+2*ny_ns*vy+nz_ns*(vz+wy)) -ny_ns*p+nx_ns*eta_ns*(vx+uy)+2*ny_ns*eta_ns*vy+nz_ns*eta_ns*(vz+wy) -ny_ns*p+nx_ns*eta_ns*(vx+uy)+2*ny_ns*eta_ns*vy+nz_ns*eta_ns*(vz+wy) eta_ns*(nx_ns*(wx+uz)+ny_ns*(wy+vz)+2*nz_ns*wz) eta_ns*(nx_ns*(wx+uz)+ny_ns*(wy+vz)+2*nz_ns*wz) -nz_ns*p+nx_ns*eta_ns*(wx+uz)+ny_ns*eta_ns*(wy+vz)+2*nz_ns*eta_ns*wz -nz_ns*p+nx_ns*eta_ns*(wx+uz)+ny_ns*eta_ns*(wy+vz)+2*nz_ns*eta_ns*wz nx_di*dflux_s_x_di+ny_di*dflux_s_y_di+nz_di*dflux_s_z_di nx_di*dflux_s_x_di+ny_di*dflux_s_y_di+nz_di*dflux_s_z_di nx_cd*dflux_M_x_x_cd+ny_cd*dflux_M_x_y_cd+nz_cd*dflux_M_x_z_cd nx_cd*dflux_M_x_x_cd+ny_cd*dflux_M_x_y_cd+nz_cd*dflux_M_x_z_cd nx_cd*cflux_M_x_x_cd+ny_cd*cflux_M_x_y_cd+nz_cd*cflux_M_x_z_cd nx_cd*cflux_M_x_x_cd+ny_cd*cflux_M_x_y_cd+nz_cd*cflux_M_x_z_cd nx_cd*tflux_M_x_x_cd+ny_cd*tflux_M_x_y_cd+nz_cd*tflux_M_x_z_cd nx_cd*tflux_M_x_x_cd+ny_cd*tflux_M_x_y_cd+nz_cd*tflux_M_x_z_cd nx_cd2*dflux_M_y_x_cd2+ny_cd2*dflux_M_y_y_cd2+nz_cd2*dflux_M_y_z_cd2 nx_cd2*dflux_M_y_x_cd2+ny_cd2*dflux_M_y_y_cd2+nz_cd2*dflux_M_y_z_cd2 nx_cd2*cflux_M_y_x_cd2+ny_cd2*cflux_M_y_y_cd2+nz_cd2*cflux_M_y_z_cd2 nx_cd2*cflux_M_y_x_cd2+ny_cd2*cflux_M_y_y_cd2+nz_cd2*cflux_M_y_z_cd2 nx_cd2*tflux_M_y_x_cd2+ny_cd2*tflux_M_y_y_cd2+nz_cd2*tflux_M_y_z_cd2 nx_cd2*tflux_M_y_x_cd2+ny_cd2*tflux_M_y_y_cd2+nz_cd2*tflux_M_y_z_cd2 nx_cd3*dflux_M_z_x_cd3+ny_cd3*dflux_M_z_y_cd3+nz_cd3*dflux_M_z_z_cd3 nx_cd3*dflux_M_z_x_cd3+ny_cd3*dflux_M_z_y_cd3+nz_cd3*dflux_M_z_z_cd3 nx_cd3*cflux_M_z_x_cd3+ny_cd3*cflux_M_z_y_cd3+nz_cd3*cflux_M_z_z_cd3 nx_cd3*cflux_M_z_x_cd3+ny_cd3*cflux_M_z_y_cd3+nz_cd3*cflux_M_z_z_cd3 nx_cd3*tflux_M_z_x_cd3+ny_cd3*tflux_M_z_y_cd3+nz_cd3*tflux_M_z_z_cd3 nx_cd3*tflux_M_z_x_cd3+ny_cd3*tflux_M_z_y_cd3+nz_cd3*tflux_M_z_z_cd3 -VmTx -VmTy -VmTz sqrt(abs(tHx_emnc)^2+abs(tHy_emnc)^2+abs(tHz_emnc)^2) 1 Bx_emnc*nx+By_emnc*ny+Bz_emnc*nz -0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dnx+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(Bx_emnc) -0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dny+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(By_emnc) -0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dnz+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(Bz_emnc) -0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*unx+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(Bx_emnc) -0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*uny+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(By_emnc) -0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*unz+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(Bz_emnc) 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 unx dnx uny dny unz dnz 0 0 0 0 0 0 1 1 unx dnx uny dny unz dnz 0 0 0 0 0 0 0 0 0 0 1 1 unx dnx uny dny unz dnz 0 0 0 0 0 0 1 1 unx dnx uny dny unz dnz 0 0 0 0 0 0 1 1 unx dnx uny dny unz dnz 0 0 0 0 0 0 unx dnx uny dny unz dnz 0 H0*(x*cos(t)+y*sin(t))*flc2hs(-1+t,0.05) 1 1 0 2 nx ny nz 0 0 0 {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,2,3,3,2,1,1,2,3,1,3,2,1} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} 1 23456789101 1 1111111111 1111111111 1112111111 1112111111 1112111111 1112111111 {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0} {1,1,1,1,2,2,2,2,1,1,1,2,2,2,1,1,2,2,2,2,1,1,2,1} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","0","0","0","0","0","0","0"} {"0","0","0","-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","test(-p)","0","0","0","0","0","0"} 1 23456789101 23456789101 1 1111111111 1111111111 1111111111 {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"","","","","","","","","",""} {"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"} 0 0 0 {0,0,0,0,0,0,0,0,0,0,0,0} {0,0,0,0,0,0,0,0,0,0,0,0} {1,2,1,2,1,2,2,1,3,1,2,1} 10 1 sqrt(x^2+y^2+z^2) atan2(y,x) atan2(z,x) (theta<0.257)*(theta>-0.257)*(phi<0.257)*(phi>-0.257)*((Bmax*x/mu_r))+H0*(x*cos(t)+y*sin(t))*flc2hs(t-1,0.05) theta Different theta from spherical coordinates elcplscalar {"1"} nojac(rho_ns) nojac(1) nojac(max((+(u)^2+(v)^2+(w)^2),(eta_ns/rho_ns/h)^2)) nojac(-1/max(emetric(u,v,w),(visc_vel_fact_ns*eta_ns/rho_ns)^2*emetric2))t� refrefrefrefrefrefrefref 00 00 00 00 {"1"} {"2"} {"rhoint_g1_ns","vol_g1_ns","u2int_g1_ns","mdt2_cfl_g1_ns"} {"1","2","3","4"} {"4"} elconst nojac(sqrt(-mdt2_cfl_g1_ns)) elcplscalar {"1"} {} {} elcplscalar {"1"} {} {} elcplscalar {"1"} {} {} elcplextr {"1"} {}

{"CYL1","CYL2"}
1.19 2*pi*f 85 0.00048 0.0074 3.94e-7 1 1.9e-6 omega*Tau 0.05 1.54 1 1.05 Hx_emnc Hy_emnc Hz_emnc Ms/Xi M_x*Hy-M_y*Hx -M_x*Vmxx-M_y*Vmxy-M_z*Vmxz -M_x*Vmyx-M_y*Vmyy-M_z*Vmyz -M_x*Vmzx-M_y*Vmzy-M_z*Vmzz Ms*(coth(alpha)-1/alpha)*Hx/alpha Ms*(coth(alpha)-1/alpha)*Hy/alpha Ms*(coth(alpha)-1/alpha)*Hz/alpha normH_emnc+1e-6 {0} {0} ns weak SI uq~ t�` off time stationary auto 1.0E-6 25 tol 100 1 off on off 1.0 1.0E-4 10.0 off on 0.0010 25 lumped automatic auto on 1 7 tol 10 1 off const 1.0 minimal 1.0 1.0E-2 10.0 0.000010 0.0001 range(0,0.1,10) 0 1 0.1 11 step none tlist free bdf_ida 0.01 off 15 off on on on on on on off on on 0.0010 5 1 1.0 0.75 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 auto auto eliminate auto 5000 on auto on off off on off currgeom l2 10000000 longest weak off 0 1 2 1 fltpft 1 1.1 0.8 0.2 on off off sensitivity adjoint on cholesky analytic 500 10 1.0e-6 1.0e-6 1.0e-6 1.0e-6 0 off w,M_z,v,u,s,p,M_y,Vm,M_x w,M_z,v,avgv,u,s,p,M_y,Vm,M_x on init_expr_currsol_radio Automatic 0 u_init_radio Automatic 0 off off off off pardiso linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 off off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on phi 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on u v w p 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on s 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on M_x 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on M_y 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on M_z 1e-3 1 gmres linsolver 0.0 0.1 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 mmd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 left right 1 50 1 1.0 3 6 v 5000 128.0 off 2.0 on droptol gmres 0.02 100 0.8 off off shape regular on 2 2 off Geom1 on on tAxAyAz10 tAxAyAz20 tAxAyAz21 psi 1e-3 1 gmres linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on c 1e-3 1 gmres linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on avgv 1e-3 1 gmres linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on Vm 1e-3 1 gmres linsolver 0.0 0.1 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on ilu precond 0.01 1.0 0.7 nd on off nd on 1.0E-8 on off tol 2 1.0E-6 400.0 10000 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 on shape regular on 2 2 off Geom1 on on 1 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 2 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 3 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 4 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 5 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 6 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 7 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 8 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 9 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery 10 iter 0.5 1 1 20 10 1.0E-2 1 const off 1.0 1.0E-4 1.0E-2 10.0 minimal onevery off off off gmres auto gmres auto ilu ilu Geom1 0 off off off 1022043 COMSOL 3.5.0.603 Ferrofluid in 3D Cylinder with rotating H field Shahriar MIT EECS 1258058172915 1223349674938 off html off a4 off full on Geom1 subdomain 6 -2.0 2.0 -2.0 2.0 -2.0 2.0 1.0 1.0 1.0 -0.4183537633203165 0.4183537633203165 -0.3203899262280351 0.3203899262280351 -3.3713790895673186 -0.62064286839283 -0.4986035141691311 0.0 0.0 0.0 0.16116608318865802 -0.08558948116281263 -0.9832089983029586 point headlight on 255 255 255 -3.3713791 -0.62064284 -0.49860352 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 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