A pressure-correction algorithm with Mach-uniform efficiency and accuracy
We present a collocated Mach-uniform pressure-correction method. By using a low Mach adapted AUSM+ flux for the spatial discretization, we reach Mach-uniform accuracy. Mach-uniform efficiency is obtained by a pressure-correction equation based on the energy equation. Furthermore, we take heat conduction into account, which as far as we know, has never been done before in the context of Mach-uniform pressure-correction methods. An explicit treatment of the conduction terms results in a diffusive limit on the time step. To avoid this, a coupled solution of the energy equation and the continuity equation is needed. The results for both the adiabatic and the non-adiabatic algorithms are in full accordance with the developed theory. Copyright (c) 2005 John Wiley W Sons, Ltd.
pressure-correction algorithm mach-uniform adiabatic non-adiabatic