Pressure-velocity coupling allowing acoustic calculation in low Mach number flow

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Moguen, Yann¹  Kousksou, Tarik^2,3  Bruel, Pascal^3,4  Vierendeels, Jan¹  Dick, Erik¹ 

[1] Univ Ghent, Dept Flow Heat & Combust Mech, B-9000 Ghent, Belgium

[2] Univ Pau & Pays Adour, Lab SIAME, F-64075 Pau, France

[3] Inria CAGIRE Team, F-64075 Pau, France

[4] Univ Pau & Pays Adour, CNRS, LMAP UMR 5142, F-64013 Pau, France

关键词: Pressure-velocity coupling;    Momentum interpolation method;    Low Mach number flow;    Pressure correction;    Acoustics;   

DOI  :  10.1016/j.jcp.2012.05.001

来源: Elsevier

【 摘 要 】

Low Mach number flow computation in co-located grid arrangement requires pressure-velocity coupling in order to prevent the checkerboard phenomenon. Two broad categories of pressure-velocity coupling methods for unsteady flows can be distinguished based on the time-step dependency of the coupling coefficient in the definition of the transporting velocity on a face of a control volume. As an example of the time-step independent category, the AUSM(+)-up scheme is studied. As an example of the second category, Rhie-Chow momentum interpolation methods are studied. Within the momentum interpolation techniques, again two broad categories can be distinguished based on the time-step dependency of the coupling coefficient used for unsteady flow computations, but when a steady state is reached. Variants of Rhie-Chow interpolation methods in each subcategory are studied on critical test cases. The result of the study is that for a good representation of unsteady flows containing acoustic information, the pressure-velocity coupling coefficient must explicitly depend on the time-step, but that the transporting velocity must become independent of the time-step when a steady state is reached. (C) 2012 Elsevier Inc. All rights reserved.

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