THE MULTIPLE PRESSURE VARIABLES METHOD FOR WEAKLY COMPRESSIBLE FLUIDS

In many technical applications an initially incompressible gas flow is accelerated and driven into the fully compressible regime. The numeri cal simulation scheme for these processes should efficiently and accur ately deal with both regimes. A single time scale, multiple space scal e asymptotic analysis provides detailed insight into the low-Mach numb er limit behavior of solutions of the compressible Euler equations. Th is is used as a guideline for developing a semiimplicit scheme, which involves multiple pressure variables, large scale differencing and ave raging procedures that are discretized versions of standard operations in multiple scales asymptotic analysis.