A stable pressure-correction algorithm for low-speed turbulent combustion simulations

To perform accurate LES-calculations of low Mach number flows with non-premixed combustion, an efficient, robust and accurate algorithm is needed. So-called pressure-correction methods are efficient algorithms for this purpose. Those methods are well elaborated for flows with constant density. However, in non-premixed combustion simulations, the density is variable in time and space, leading to instabilities. In this paper we provide insight in the origin of the instability by examining the test case of a density jump. Further, we propose improvements to existing schemes in order to increase robustness.