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Numerical modeling of non-isothermal gas flow and NAPL vapor transport in soil. (English) Zbl 1348.76157

Summary: We introduce a mathematical model for the description of non-isothermal compressible flow of gas mixtures in heterogeneous porous media and we derive an efficient semi-implicit time-stepping numerical scheme for the solution of the governing equations. We experimentally estimate the order of convergence of the scheme in spatial variables and we present several computational studies that demonstrate the ability of the numerical scheme.

MSC:

76S05 Flows in porous media; filtration; seepage
76N15 Gas dynamics (general theory)
76M12 Finite volume methods applied to problems in fluid mechanics
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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