A new flux splitting scheme. (English) Zbl 0779.76056

Liou, Meng-Sing; Steffen, Christopher J. jun.

J. Comput. Phys. 107, No. 1, 23-39 (1993).

A new flux splitting scheme is proposed. We propose an appropriately defined cell-face advection Mach number using values from the two straddling cells via associated characteristic speeds. This interface Mach number is then used to determine the upwind extrapolation for the convective quantities. Accordingly, the name of the scheme is coined as the advection upstream splitting method (AUSM). We also introduce a new pressure splitting which is shown to behave successfully, yielding much smoother results than other existing pressure splittings. Of particular interest is the supersonic blunt body problem in which the Roe scheme gives anomalous solutions.

MSC:

76M20	Finite difference methods applied to problems in fluid mechanics
76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics

Keywords:

cell-face advection Mach number; upwind extrapolation; advection upstream splitting method; pressure splitting; supersonic blunt body problem; Roe scheme