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POMemory exhaustion while running NDSolve
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copied!<p>I run into the "No more memory available" error message in Mathematica. I understand that "Parallelize[]" isn't (obviously) going to help me. Neither has "ClearSystemCache[]".</p> <p>What gives? Do I just need more RAM?</p> <h2>My Code</h2> <pre><code>Needs["VectorAnalysis`"] Needs["DifferentialEquations`InterpolatingFunctionAnatomy`"]; Clear[Eq4, EvapThickFilm, h, S, G, E1, K1, D1, VR, M, R] Eq4[h_, {S_, G_, E1_, K1_, D1_, VR_, M_, R_}] := \!\( \*SubscriptBox[\(\[PartialD]\), \(t\)]h\) + Div[-h^3 G Grad[h] + h^3 S Grad[Laplacian[h]] + (VR E1^2 h^3)/(D1 (h + K1)^3) Grad[h] + M (h/(1 + h))^2 Grad[h]] + E1/( h + K1) + (R/6) D[D[(h^2/(1 + h)), x] h^3, x] == 0; SetCoordinates[Cartesian[x, y, z]]; EvapThickFilm[S_, G_, E1_, K1_, D1_, VR_, M_, R_] := Eq4[h[x, y, t], {S, G, E1, K1, D1, VR, M, R}]; TraditionalForm[EvapThickFilm[S, G, E1, K1, D1, VR, M, R]]; L = 318; TMax = 10; Off[NDSolve::mxsst]; Clear[Kvar]; Kvar[t_] := Piecewise[{{1, t <= 1}, {2, t > 1}}] (*Ktemp = Array[0.001+0.001#^2&,13]*) hSol = h /. NDSolve[{ (*S,G,E,K,D,VR,M*) EvapThickFilm[1, 3, 0.1, 7, 0.01, 0.1, 0, 160], h[0, y, t] == h[L, y, t], h[x, 0, t] == h[x, L, t], (*h[x,y,0] == 1.1+Cos[x] Sin[2y] *) h[x, y, 0] == 1 + (-0.25 Cos[2 \[Pi] x/L] - 0.25 Sin[2 \[Pi] x/L]) Cos[ 2 \[Pi] y/L] }, h, {x, 0, L}, {y, 0, L}, {t, 0, TMax}, MaxStepSize -> 0.1 ][[1]] hGrid = InterpolatingFunctionGrid[hSol]; </code></pre> <h2>Error message</h2> <pre><code>No more memory available. Mathematica kernel has shut down. Try quitting other applications and then retry. </code></pre> <h2>My OS specs</h2> <p>Intel Core 2 Duo with 4.00 GB ram, 64 bit OS (Windows 7)</p>

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