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High Performance Computing linear algorithms for two-phase flow in porous media

By Robert Eymard, Cindy Guichard and Roland Masson


International audienceWe focus here on the difficult problem of linear solving, when considering implicit scheme for two-phase flow simulation in porous media. Indeed, this scheme leads to ill-conditioned linear systems, due to the different behaviors of the pressure unknown (which follows a diffusion equation) and the saturation unknown (mainly advected by the total volumic flow). This difficulty is enhanced by the parallel computing techniques, which reduce the choice of the possible preconditioners. We first present the framework of this study, and then we discuss different algorithms for linear solving. Finally, numerical results show the performances of these algorithms

Topics: [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA]
Publisher: HAL CCSD
Year: 2014
DOI identifier: 10.1007/978-3-319-05591-6_55
OAI identifier: oai:HAL:hal-00958131v1
Provided by: Hal-Diderot

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