Towards discontinuous Galerkin solution of multiphase flows

This project is devoted to the high-fidelity simulations of multiphase flows. Since the solutions of the multiphase models can present a wide range of scales, we constructed our solver using a modal discontinuous Galerkin (dG) method that is arbitrarily high-order and can seek for the solution in meshes composed of elements of any shape. In our path to the entropy-stable resolution of fully non-equilibrium models, we demonstrate the effectiveness of our proposed stabilization strategies and mass transfer formulation in a simpler model.