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A parallel algorithm for two phase multicomponent contaminant transport. (English) Zbl 0833.65139

When trying to model complex chemical processes, like biological decontamination for instance, one comes across some troubles. The physical, chemical and geologic definition of the problem is a partial one only, and in addition, the chemical process involves interphase mass transfer as well as a host of interphase chemical reactions, including dissolution, ion exchange, adsorption, and so on.
It appears that parallel computation offers a useful alternative for simulating such processes, and the present paper shows how this can be made. In section three one describes the parallel implementation of the model (water phase, air phase, state equation, Darcy’s law, capillarity pressure, volume balance), and then section four displayes some simulation results.

MSC:

65Z05 Applications to the sciences
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65Y05 Parallel numerical computation
80A22 Stefan problems, phase changes, etc.
35R35 Free boundary problems for PDEs
35Q80 Applications of PDE in areas other than physics (MSC2000)
80A32 Chemically reacting flows
76S05 Flows in porous media; filtration; seepage
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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References:

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