Abstract
This paper proposes a simple modification of the variable reconstruction process within finite volume schemes to allow significantly improved resolution of low Mach number perturbations for use in mixed compressible/incompressible flows. The main advantage is that the numerical method locally adapts the variable reconstruction to allow minimum dissipation of low Mach number features whilst maintaining shock capturing ability, all without modifying the formulation of the governing equations. In addition, incompressible scaling of the pressure and density variations are recovered. Numerical tests using a Godunov-type method demonstrate that the new scheme captures shock waves well, significantly improves resolution of low Mach number features and greatly reduces high wave number dissipation in the case of homogeneous decaying turbulence and Richtmyer–Meshkov mixing. In the latter case, the turbulent spectra match theoretical predictions excellently. Additional computational expense due to the proposed modification is negligible.
Original language | English |
---|---|
Pages (from-to) | 4873-4894 |
Number of pages | 22 |
Journal | Journal of Computational Physics |
Volume | 227 |
Issue number | 10 |
DOIs | |
Publication status | Published - 1 May 2008 |
Keywords
- compressible fluid dynamics
- turbulent mixing
- Godunov schemes
- dissipation
- kinetic energy
- Richtmyer–Meshkov instability
- homogeneous decaying turbulence
- large eddy simulation
- low Mach number features