Abstract
A high-resolution numerical scheme based on the MUSCL–Hancock approach is developed to solve unsteady compressible two-phase dilute viscous flow. Numerical considerations for the development of the scheme are provided. Several solvers for the Godunov fluxes are tested and the results lead to the choice of an exact Riemann solver adapted for both gaseous and dispersed phases. 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-phase unsteady viscous flows in a shock tube. The results are compared with well-established analytical and numerical solutions and very good agreement is achieved. Copyright © 1999 John Wiley & Sons, Ltd.
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