A time accurate algorithm for low-Mach number, variable-density flows with or without chemical reactions is presented. An Adams-Bashforth time integration method combined with a predictor-corrector technique, which couples the evolution of the density and velocity fields, is used to increase the robustness of the simulation. At each time step a constant coefficient pressure Poisson equation is inverted. The Poisson solver employs a fast Fourier transform in the homogeneous directions. Spatial discretization is performed via centered differences on a collocated grid. Large-eddy simulations of channel flow have been performed to test the efficiency of the method. In these tests wall-temperature ratios up to 8 have been considered. Several features of the flow have been observed to be sensitive to the wall temperature ratio. In particular, the effects of fluid property variations on the near-wall turbulence structures have been examined in detail. As a second test, numerical simulations of flame-vortex interaction have been performed. The obtained results are in good agreement with previously published ones.
Lessani, B., & Papalexandris, M. (2004). Time-accurate calculation of variable density flows with strong heat gradients and chemical reactions. APS 57th Annual Meeting of the Di- vision of Fluid Dynamics, seattle, us. https://hdl.handle.net/2078.5/193881