On mass conservation and solvability of the discretized variable-density zero-Mach Navier-Stokes equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:404

Article

Lu, Xiaoyi¹  Pantano, Carlos^1,2 

[1] Univ Illinois, Dept Mech Sci & Engn, Urbana, IL 61801 USA

[2] Univ Southern Calif, Dept Aerosp & Mech Engn, Los Angeles, CA 90089 USA

关键词: Variable-density;    Low-Mach number;    DNS;    Turbulent reacting flows;    High-order methods;   

DOI  :  10.1016/j.jcp.2019.109132

来源: Elsevier

【 摘 要 】

This paper presents a study of a variable-density zero-Mach Navier-Stokes discretization and subtle difficulties associated with the pressure. A consistent compatibility condition between the temperature and velocity is first derived. It is shown that one can accurately and efficiently solve all primitive variables with the uniform order of accuracy of the specified discretization and time-marching schemes. It is shown that higher density ratios than those commonly reported are achievable, and it is, in part, traced to the solvability of the pressure Poisson equation. Numerical properties are assessed with the method of manufactured solutions, and several classical testing cases are carried out to validate the code, ranging from variable-density mixing problems to premixed flames with forcing. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free