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

Lu, Xiaoyi; Pantano, Carlos

doi:10.1016/j.jcp.2019.109132

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

Journal Article · Tue Nov 19 23:00:00 EST 2019 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2019.109132· OSTI ID:1801106

Lu, Xiaoyi ^[1]; ^[2]

Univ. of Illinois at Urbana-Champaign, IL (United States); OSTI
Univ. of Illinois at Urbana-Champaign, IL (United States); Univ. of Southern California, Los Angeles, CA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0002382

OSTI ID:: 1801106

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 404; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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

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