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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.

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.

Reviewer: G.Jumarie (Montreal)

### 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 |

### Keywords:

two phase multicomponent contaminant transport; biological decontamination; interphase mass transfer; chemical reactions; parallel computation
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\textit{T. Arbogast} et al., Appl. Math., Praha 40, No. 3, 163--174 (1995; Zbl 0833.65139)

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