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An extension of the open-source porousMultiphaseFoam toolbox dedicated\n to groundwater flows solving the Richards' equation

2015/09/30 by Pierre Horgue, Jacques Franc, Horgue, Pierre +5
Engineering · #Soil and Unsaturated Flow #Enhanced Oil Recovery Techniques #Advanced Numerical Methods in Computational Mathematics

paper · pdf · doi:10.48550/arxiv.1510.01364

Abstract

In this note, the existing porousMultiphaseFoam toolbox, developed initially\nfor any two-phase flow in porous media is extended to the specific case of the\nRichards' equation which neglect the pressure gradient of the non-wetting\nphase. This model is typically used for saturated and unsaturated groundwater\nflows. A Picard's algorithm is implemented to linearize and solve the Richards'\nequation developed in the pressure head based form. This new solver of the\nporousMultiphaseFoam toolbox is named groundwaterFoam. The validation of\nthesolver is achieved by a comparison between numerical simulations and results\nobtained from the literature. Finally, a parallel efficiency test is performed\non a large unstructured mesh and exhibits a super-linear behavior as observed\nfor the other solvers of the toolbox.\n

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