A numerical scheme for two-dimensional, open channel flows with non-rectangular geometries

Glaister, P. (1993) A numerical scheme for two-dimensional, open channel flows with non-rectangular geometries. International Journal of Engineering Science, 31 (7). pp. 1003-1011. ISSN 0020-7225 doi: 10.1016/0020-7225(93)90108-7

Abstract/Summary

An algorithm based on flux difference splitting is presented for the solution of two-dimensional, 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 generalized 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.