22 August 2014
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A Mach-uniform pressure correction algorithm using AUSM flux definitions

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...

Pages: 10
Size: 359 kb
Paper DOI: 10.2495/AFM040041

 

 

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This paper can be found in the following book

Advances in Fluid Mechanics V

Advances in Fluid Mechanics V

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