Can regular PCs with say Intel Corei3 processors with 4GB RAM serve the purpose?
For two-dimensional programming its fine, if you want to do three-dimensional parallel programming than go to higher cofigration like i7.
It really depends on code optimization, model equation and parameter values.
If you make a 2D simulation, it will be enough almost for all purposes and problems with grids less than ~1000x1000. But it will be slow, and the good simulation speed is possible only with implicit schemes permits large time-steps.
As for 3D-simulation, it is almost impossible at reasonable grid size even You use a top newest CPU with OpenMP or other multicore parallelism. Only CUDA/OpenACC can give a good results with desktop workstation now, otherwise cluster is better.
Its good in PCs rather than in laptops.And also specify average number of mesh you wish to compute.
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