An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations
The computation of compressible flows becomes more challenging when the Mach number
has different orders of magnitude. When the Mach number is of order one, modern shock
capturing methods are able to capture shocks and other complex structures with high
numerical resolutions. However, if the Mach number is small, the acoustic waves lead to
stiffness in time and excessively large numerical viscosity, thus demanding much smaller
time step and mesh size than normally needed for incompressible flow simulation. In this …
has different orders of magnitude. When the Mach number is of order one, modern shock
capturing methods are able to capture shocks and other complex structures with high
numerical resolutions. However, if the Mach number is small, the acoustic waves lead to
stiffness in time and excessively large numerical viscosity, thus demanding much smaller
time step and mesh size than normally needed for incompressible flow simulation. In this …