Abstract
In this paper, a Mach-uniform pressure-correction method for the compressible Euler equations is validated. Usually the accuracy of the numerical solution becomes lower in the low Mach number regime because of the stiffness problem. In order to improve this low accuracy, the nondimensionalization based on the pressure is adopted in the Mach-uniform pressure-correction method. The compressible Euler equations are solved by the second order method of lines with artificial viscosity. Two dimensional flows past a circular cylinder are considered. A Mach-uniform approach shows the very good results in supersonic, transonic and subsonic regimes in comparison with the standard Euler solutions. Also the pressent approach gives the reasonable solution in quasi-incompressible and incompressible regimes. Then, it is concluded that the present Mach-uniform pressure-correction method is very hopeful to solve the compressible Euler equations in the almost all Mach number regimes.
