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Multiple pressure variables methods for fluid flow at all Mach numbers

✍ Scribed by J. H. Park; C.-D. Munz

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
938 KB
Volume
49
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

In this paper we present a method for the simulation of incompressible as well as compressible unsteady flows. At first we discuss three different forms, i.e. a primitive‐, conservative‐ and a semi‐conservative form of the governing equations. We use a semi‐implicit time integration in such a fashion that the stability is guaranteed independently of the speed of sound and the resulting method is independent of the Mach number range. Moreover, with the application of the so‐called multiple pressure variables (MPV) approach the difficulties with the pressure term can be circumvented as in the incompressible limit the hydrodynamic pressure decouples from the equation of state. Increasing approximation errors in the low Mach number regime are avoided. As a result, the proposed algorithm can also simulate incompressible flows as limit for zero Mach number. Copyright © 2005 John Wiley & Sons, Ltd.

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