Average-state Jacobians and implicit methods for compressible viscous and turbulent flows
Journal of Computational Physics
On the Choice of Wavespeeds for the HLLC Riemann Solver
SIAM Journal on Scientific Computing
A multiphase Godunov method for compressbile multifluid and multiphase flows
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing
Discrete equations for physical and numerical compressible multiphase mixtures
Journal of Computational Physics
The Riemann problem for the Baer-Nunziato two-phase flow model
Journal of Computational Physics
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
SIAM Journal on Numerical Analysis
The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
Journal of Computational Physics
An exact Riemann solver for compressible two-phase flow models containing non-conservative products
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations
Journal of Computational Physics
Journal of Computational Physics
A gas kinetic scheme for the Baer-Nunziato two-phase flow model
Journal of Computational Physics
Phase Appearance or Disappearance in Two-Phase Flows
Journal of Scientific Computing
Journal of Computational Physics
Hi-index | 31.47 |
We first construct an approximate Riemann solver of the HLLC-type for the Baer-Nunziato 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 Baer-Nunziato 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.