A Simple and Robust Advection Upwind Flux Splitting to Simulate Transient Cavitated Water-Vapor Flows

Abstract

In this work, a pressure–velocity coupling is proposed to modify the advection flux splitting for achieving accurate simulation of cavitated bubbly flows. As we know, the resolution of interface pressure waves among multiphase flows based on compressible Eulerian schemes is still a challenging topic. The current study evaluates the numerical diffusive terms in the AUSM-type scheme and suggests a robust implementation to deal with the pressure–velocity coupling term in AUSM + . The proposed modification of AUSM + is shown to enhance accurate resolution of phase interfaces and liquid pressure waves in unsteady cavitated shot tube problems and the calculations of external cavitated flows after comparing with validated data.

We acknowledge partial financial support from the National Science Council under Project NSC 93-2623-7-216-001-NU. We also thank Dr. C.-H. Chang and Dr. Meng S. Liou for discussions about the AUSM+up and the computer facility supported by the National Center for High-Performance Computing, Hsin-Chu, Taiwan, ROC