Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Mach-uniformity through the coupled pressure- and temperature-correction algorithm

Krista Nerinckx*, Jan Vierendeels, Erik Dick
Ghent University, Sint-Pietersnieuwstraat 41, B-9000 Ghent, Belgium

  Full Text
We present a new type of algorithm: the coupled pressure- and temperature-correction algorithm. This finds its place in between the fully coupled and the fully segregated approaches, and it is constructed such that Mach-uniform accuracy and efficiency are obtained. The essential idea is the separation of the convective and the acoustic/thermodynamic phenomena: a convective predictor is followed by an acoustic/ thermodynamic corrector. For a general case, the corrector consists of a coupled solution of the energy and the continuity equations for both pressure and temperature corrections. For the special case of an adiabatic perfect gas flow, the algorithm reduces to a fully segregated method, with a pressure-correction equation based on the energy equation. Various test cases are considered, which confirm that Mach-uniformity is obtained.

Keywords:  Mach-uniform; Segregated; Coupled; Pressure-correction

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