2018/02/16 by Maurice S. Fabien, Fabien, Maurice S., Matthew G. Knepley +3 · 1 citation
Engineering · #Advanced Numerical Methods in Computational Mathematics #Lattice Boltzmann Simulation Studies #Computational Fluid Dynamics and Aerodynamics
paper · pdf · doi:10.48550/arxiv.1802.06013
We present a new method for simulating incompressible immiscible two-phase\nflow in porous media. The semi-implicit method decouples the wetting phase\npressure and saturation equations. The equations are discretized using a\nhybridizable discontinuous Galerkin (HDG) method. The proposed method is of\nhigh order, conserves global/local mass balance, and the number of globally\ncoupled degrees of freedom is significantly reduced compared to standard\ninterior penalty discontinuous Galerkin methods. Several numerical examples\nillustrate the accuracy and robustness of the method. These examples include\nverification of convergence rates by manufactured solutions, common 1D\nbenchmarks and realistic discontinuous permeability fields.\n