Modelling and numerical simulation of low-Mach-number compressible flows

Based upon the operator-splitting method designed by the authors to solve the Navier-Stokes equations with variable density and viscosity, a segregated time-marching solution scheme is proposed for solving the low-Mach-number flow model with the acoustic waves being filtered out. This solution scheme does not rely on the correction for global mass conservation to maintain solution accuracy. With this advantage the scheme can be directly applied to general low-Mach-number flow problems with confidence. The scheme is validated by comparing the results for a number of test cases with known limiting exact solutions and published numerical solutions by other authors.