Ten Years in the Making: AUSM-Family

摘要

We begin by describing the motivations that gave birth to the original AUSM scheme and then focus on the ingredients that has spurred its growth and acceptance by the world of computational fluid dynamics. As it has played out more in the field, weaknesses have also surfaced. Hence, nutrients and supplements are prescribed to help it grow and stay strong and robust. In this paper, we will describe the saga of efforts owing to researchers who have contributed to building up the AUSM-family for the CFD community. It is hoped that a healthy scheme will contribute to the accurate and robust solution of problems encountered in a wide range of disciplines. We analyze numerical mass fluxes with an emphasis on their capability for accurately capturing shock and contact discontinuities. We will present a new scheme for the pressure flux, along with results for a host of test problems.