A kinetically-based model is developed to describe flow of slightly compressible two-phase fluid in a porous medium. The continuity equations for phases are modified taking into account the minimal scales of averaging on space and on time, as a result regularizing terms and the second order time derivative with small parameters are present in the equations. They are approximated by the three-level explicit difference scheme with a mild enough stability condition. The proposed algorithm is easily adapted to modern hybrid supercomputers. The problem of contaminant infiltration into the soil is solved on a cluster with graphics accelerators. High speed-up of GPU computations in comparison with CPU is demonstrated. © 2012 Springer-Verlag.
CITATION STYLE
Trapeznikova, M., Chetverushkin, B., Churbanova, N., & Morozov, D. (2012). Two-phase porous media flow simulation on a hybrid cluster. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7116 LNCS, pp. 646–653). https://doi.org/10.1007/978-3-642-29843-1_74
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