HLLC-type Riemann solver for the BaerNunziato equations of compressible two-phase flow
We first construct an approximate Riemann solver of the HLLC-type for the BaerNunziato equations of compressible two-phase flow for the subsonic wave configuration. The solver is fully nonlinear. It is also complete, that is, it contains all the characteristic fields present in the exact solution of the Riemann problem. In particular, stationary contact waves are resolved exactly. We then implement and test a new upwind variant of the path-conservative approach; such schemes are suitable for solving numerically nonconservative systems. Finally, we use locally the new HLLC solver for the BaerNunziato equations in the framework of finite volume, discontinuous Galerkin finite element and path-conservative schemes. We systematically assess the solver on a series of carefully chosen test problems.
hllc solver finite volumes compressible multiphase flow hyperbolic equations nonconservative products complete riemann solvers dg finite elements path-conservative methods