Author(s)

K. Nerinckx, J. Vierendeels & E. Dick

Abstract

A collocated finite-volume pressure correction procedure for the solution of inviscid compressible flow at all speeds is presented. Pressure correction methods usually adopt a so-called Rhie-Chow interpolation for the cell face velocities in order to provide pressure-velocity coupling. However, as is shown on the testcase of a one-dimensional transonic nozzle, this Rhie-Chow interpolation becomes highly diffusive in high Mach number flows, resulting in an extreme smearing of the shock. Therefore we replace the Rhie-Chow interpolation for velocity and the central interpolation for pressure by AUSM+ definitions. This results in a much sharper shock capturing, even with a first order scheme. However, the diffusive contributions of this flux scale badly when the Mach number diminishes. Furthermore, press

Keywords