A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media

Boqian Shen; Beatrice Riviere

doi:10.1016/j.cma.2022.115266

A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media

Numerical Analysis 2022-08-17 v1 Numerical Analysis Computational Physics Fluid Dynamics Geophysics

Authors: Boqian Shen , Beatrice Riviere

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Abstract

We formulate a numerical method for solving the two-phase flow poroelasticity equations. The scheme employs the interior penalty discontinuous Galerkin method and a sequential time-stepping method. The unknowns are the phase pressures and the displacement. Existence of the solution is proved. Three-dimensional numerical results show the accuracy and robustness of the proposed method.

Keywords

discontinuous galerkin method discontinuous galerkin methods galerkin methods

Cite

@article{arxiv.2201.08571,
  title  = {A Sequential Discontinuous Galerkin Method for Two-Phase Flow in Deformable Porous Media},
  author = {Boqian Shen and Beatrice Riviere},
  journal= {arXiv preprint arXiv:2201.08571},
  year   = {2022}
}

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