A combined momentum-interpolation and advection upstream splitting pressure-correction algorithm for simulation of convective and acoustic transport at all levels of Mach number

JOURNAL OF COMPUTATIONAL PHYSICS

卷:384

Article

Moguen, Yann¹  Bruel, Pascal²  Dick, Erik³ 

[1] Univ Pau & Pays Adour, SIAME LMAP, Av Univ, F-64013 Pau, France

[2] Univ Pau & Pays Adour, CNRS, LMAP Inria CAGIRE Team, Av Univ, F-64013 Pau, France

[3] Univ Ghent, Dept Flow Heat & Combust Mech, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium

关键词: All-Mach number scheme;    Momentum interpolation;    Advection upstream splitting;    Co-located finite volume;    Convective transport;    Acoustic propagation;   

DOI  :  10.1016/j.jcp.2019.01.029

来源: Elsevier

【 摘 要 】

A pressure-correction algorithm is presented for compressible fluid flow regimes. It is well-suited to simulate flows at all levels of Mach number with smooth and discontinuous flow field changes, by providing a precise representation of convective transport and acoustic propagation. The co-located finite volume space discretization is used with the AUSM flux splitting. It is demonstrated that two ingredients are essential for obtaining good quality solutions: the presence of an inertia term in the face velocity expression; a velocity difference diffusive term in the face pressure expression, with a correct Mach number scaling to recover the hydrodynamic and acoustic low Mach number limits. To meet these two requirements, a new flux scheme, named MIAU, for Momentum Interpolation with Advection Upstream splitting is proposed. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free