Prince Chidyagwai and Beatrice Riviere, Numerical Modelling of Coupled Surface and Subsurface Flow systems

This paper presents and compares several numerical solutions of the coupled Navier-Stokes and Darcy equations. The schemes are based on combinations of the finite element method and the discontinuous Galerkin method. Accuracy and robustness of the methods are investigated for heterogeneous porous media. The importance of local mass conservation for filtration problems is also discussed.