A hybridizable discontinuous Galerkin method for two‐phase flow in heterogeneous porous media

@article{Fabien2018AHD,
  title={A hybridizable discontinuous Galerkin method for two‐phase flow in heterogeneous porous media},
  author={Maurice S. Fabien and Matthew G. Knepley and B{\'e}atrice M. Rivi{\`e}re},
  journal={International Journal for Numerical Methods in Engineering},
  year={2018},
  volume={116},
  pages={161 - 177}
}
We present a new method for simulating incompressible immiscible two‐phase flow in porous media. The semi‐implicit method decouples the wetting phase pressure and saturation equations. The equations are discretized using a hybridizable discontinuous Galerkin method. The proposed method is of high order, conserves global/local mass balance, and the number of globally coupled degrees of freedom is significantly reduced compared to standard interior penalty discontinuous Galerkin methods. Several… 

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