Godunov-type schemes with an inertia term for unsteady full Mach number range flow calculations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:281

Article

Moguen, Yann^1,2  Delmas, Simon^1,2  Perrier, Vincent³  Bruel, Pascal^2,4  Dick, Erik⁵ 

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

[2] Inria CAGIRE Team, F-64013 Pau, France

[3] Univ Pau & Pays Adour, LMAP UMR 5142, Inria CAGIRE Team, F-64013 Pau, France

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

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

关键词: All Mach number schemes;    AUSM schemes;    Godunov-type schemes;    Low Mach number;    Momentum interpolation;   

DOI  :  10.1016/j.jcp.2014.10.041

来源: Elsevier

【 摘 要 】

An inertia term is introduced in the AUSM+-up scheme. The resulting scheme, called AUSM-IT (IT for Inertia Term), is designed as an extension of the AUSM+-up scheme allowing for full Mach number range calculations of unsteady flows including acoustic features. In line with the continuous asymptotic analysis, the AUSM-IT scheme satisfies the conservation of the discrete linear acoustic energy at first order in the low Mach number limit. Its capability to properly handle low Mach number unsteady flows, that may include acoustic waves or discontinuities, is numerically illustrated. The approach for building the AUSM-IT scheme from the AUSM+-up scheme is applicable to any other Godunov-type scheme. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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