Abstract:

In order to solve the problem of mixed compressible and incompressible flows, All-SpeedRoe scheme is proposed. Based on Roe scheme and preconditioning technology, Low-SpeedRoe scheme is derived. Then, All-SpeedRoe scheme is obtained by uniting Roe scheme and Low-SpeedRoe scheme with the function of local Mach number. Compared with Roe scheme, the effect of acoustic speed on numerical dissipation changes when Mach numbers changes for subsonic flows.

Key words: Roe , scheme,  , preconditioning,  , All-SpeedRoe , scheme,  , the , problem , of , mixed , compressible , and , incompressibleflows,  , general , scheme , for , all , flow , speeds