A numerical scheme for steady. Supercritical flows with boundary fitted coordinates

Abstract

An algorithm based on flux difference splitting is presented for the solution of two‐dimensional, steady, supercritical open channel flows. A transformation maps a non‐rectangular, physical domain into a rectangular one. The governing equations are then the shallow water equations, including terms of slope and friction, in a generalised coordinate system. A regular mesh on a rectangular computational domain can then be employed. The resulting scheme has good jump capturing properties and the advantage of using boundary/body‐fitted meshes. The scheme is applied to a problem of flow in a river whose geometry induces a region of supercritical flow.

Citation

Glaister, P. (1995), "A numerical scheme for steady. Supercritical flows with boundary fitted coordinates", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 5 No. 10, pp. 923-931. https://doi.org/10.1108/EUM0000000004094