The PROPHET simulator is a framework to solve systems of partial differential equations (PDEs) in time and 1, 2, or 3 space dimensions. PDEs are discretized using either finite elements or finite volume methods in space and with implicit methods in time, which reduces the differential equations to a system of algebraic equations that are solved by Newton's method at each timestep. The matrix resulting from the linearization is solved by sparse iterative or direct methods. @tool/prophetwr @driver wizard

Tue Aug 30 15:50:39 EST 2005 using prophet.exe.linux PROPHET-SU 9910 30-Aug-2005 15:50:38 1011 round2.pu 13809 1 dbase prefix=library/physics/silicon/psi 2 dbase create name=dirichlet.anode rval=0.0 3 dbase create name=dirichlet.cathode rval=0.0 4 dbase prefix="" 5 system name=my_poisson + sysvars=psi + term0=box_div.lapflux(psi|psi)@{silicon} + term1=-1.6e-19*nodal.copy(netdope|psi)@{silicon} + term2=dirichlet.default_dirichlet(0|psi)@{silicon/anode,silicon/cathode} 6 grid xloc=0.000,2.000 + xdel=0.0625 + yloc=0.000,2.000 + ydel=0.0625 + dim=2 7 boundary xmin=0 xmax=0 ymin=0 ymax=0.5 name=cathode 8 boundary xmin=0 xmax=0 ymin=1.5 ymax=2 name=anode 9 field set=psubstrate val=-1e15 10 field set=ndiff val="6e15*gbox(X,0,1,0.0001)*gbox(Y,0,1,0.0001)" 11 field set=netdope val=psubstrate+ndiff 12 field set=psi val=0 13 solve system=my_poisson 14 dbase prefix=library/physics/silicon/psi 15 dbase create name=scale rval=1.0 16 dbase create name=Dix rval=1.0448e-4 17 dbase create name=dirichlet.cathode rval=-1.0 18 dbase create name=dirichlet.anode rval=1.0 19 dbase prefix="" 20 solve system=my_poisson # modified automatically for nanoHUB: # graph quantity=psi contour color 21 dump solution outfile=dump13801-1.dmp ======================================================================== Pass 2 begins, Elapsed cpu time: 0.06 sec ======================================================================== 1 dbase cpu: 0.06 sec 0r 0i 0n 0e [1848k] ----------------------------------------------------------------------- 2 dbase cpu: 0.06 sec 0r 0i 0n 0e [1848k] ----------------------------------------------------------------------- 3 dbase cpu: 0.06 sec 0r 0i 0n 0e [1848k] ----------------------------------------------------------------------- 4 dbase cpu: 0.06 sec 0r 0i 0n 0e [1848k] ----------------------------------------------------------------------- 5 system cpu: 0.06 sec 0r 0i 0n 0e [1848k] ----------------------------------------------------------------------- Tensor_mesh: dim = 2 Creating tensor mesh: 33 x 33 = 1089 nodes 6 grid cpu: 0.09 sec 1r 3i 1089n 1024e [2120k] ----------------------------------------------------------------------- cathode: 8 elements matched by boundary specification 7 boundary cpu: 0.10 sec 1r 4i 1089n 1024e [2120k] ----------------------------------------------------------------------- anode: 8 elements matched by boundary specification 8 boundary cpu: 0.10 sec 1r 5i 1089n 1024e [2120k] ----------------------------------------------------------------------- 9 field cpu: 0.11 sec 1r 5i 1089n 1024e [2228k] ----------------------------------------------------------------------- 10 field cpu: 0.11 sec 1r 5i 1089n 1024e [2228k] ----------------------------------------------------------------------- 11 field cpu: 0.11 sec 1r 5i 1089n 1024e [2228k] ----------------------------------------------------------------------- 12 field cpu: 0.11 sec 1r 5i 1089n 1024e [2228k] ----------------------------------------------------------------------- Starting Newton iterations: solving for: psi (linear eq. solver: direct, package: petsc) Newton iter 0 174u 13.3n 0.133lg 0.133lr Newton iter 1 8.57e-14u 2.67e-13n 2.67e-15lg 2.67e-15lr Newton converged: residual norm = 1.21e-13n, reduction = 9.07e-15 cpu = 0.03 sec 13 solve cpu: 0.18 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 14 dbase cpu: 0.18 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 15 dbase cpu: 0.18 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 16 dbase cpu: 0.19 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 17 dbase cpu: 0.19 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 18 dbase cpu: 0.19 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 19 dbase cpu: 0.19 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- Starting Newton iterations: solving for: psi (linear eq. solver: direct, package: petsc) Newton iter 0 0.911u 0.955n 0.00955lg 0.00955lr Newton iter 1 7.81e-16u 1.03e-15n 1.03e-17lg 1.03e-17lr Newton converged: residual norm = 6.31e-16n, reduction = 6.61e-16 cpu = 0.02 sec 20 solve cpu: 0.23 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- 21 dump cpu: 0.27 sec 1r 5i 1089n 1024e [2472k] ----------------------------------------------------------------------- ok Cloud Mesh 3 um yes 0.00000 0.00000 0.00000 0.06250 0.00000 1.00000 0.12500 0.00000 1.00000 0.18750 0.00000 1.00000 0.25000 0.00000 1.00000 0.31250 0.00000 1.00000 0.37500 0.00000 1.00000 0.43750 0.00000 1.00000 0.50000 0.00000 1.00000 0.56250 0.00000 1.00000 0.62500 0.00000 1.00000 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