On high-resolution schemes for solving unsteady compressible two-phase dilute viscous flows

A high-resolution numerical scheme based on the MUSCL-Hancock approach is d eveloped to solve unsteady compressible two-phase dilute viscous flow. Nume rical considerations for the development of the scheme are provided. Severa l solvers for the Godunov flukes are tested and the results lead to the cho ice of an exact Riemann solver adapted for both gaseous and dispersed phase s. The accuracy of the scheme is proven step by step through specific test cases. These simulations are for one-phase viscous flows over a flat plate in subsonic and supersonic regimes, unsteady flows in a low-pressure shock tube, two-phase dilute viscous flows over a flat plate and, finally, two-ph ase unsteady viscous flows in a shock tube. The results are compared with w ell-established analytical and numerical solutions and very good agreement is achieved. Copyright (C) 1999 John Wiley & Sons, Ltd.