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Parallel numerical simulation of two-phase flow model in porous media using distributed and shared memory architectures

Luis Miguel de la Cruz, Daniel Monsivais
Instituto de Geofisica, Departamento de Recursos Naturales, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria, Delegacion Coyoacan, 04510, Mexico D.F., Mexico
Geofisica internacional, Volume 53, No. 1, 59-75, 2014

@article{de2014parallel,

   title={Parallel numerical simulation of two-phase flow model in porous media using distributed and shared memory architectures},

   author={de la Cruz, Luis Miguel and Monsivais, Daniel},

   journal={GEOF{‘I}SICA INTERNACIONAL},

   volume={53},

   number={1},

   pages={59–75},

   year={2014}

}

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A two-phase (water and oil) flow model in a homogeneous porous media is studied, considering immiscible and incompressible displacement. This model is numerically solved using the Finite Volume Method (FVM) and we compare four numerical schemes for the approximation of fluxes on the faces of the discrete volumes. We describe briefly how to obtain the mathematical and computational models applying axiomatic formulations and generic programming. Two strategies of parallelization are implemented in order to reduce the execution time. We study distributed (cluster of CPUs) and shared (Graphics Processing Units) memory architectures. A performance comparison of these two architectures is done along with an analysis of the four numerical schemes, for a water-flooding five-spot pattern model.
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