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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Two-Phase Porous Media Flow Simulation on a Hybrid Cluster
verfasst von : Marina Trapeznikova, Boris Chetverushkin, Natalia Churbanova, Dmitrii Morozov
Erschienen in: Large-Scale Scientific Computing
Verlag: Springer Berlin Heidelberg
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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.