A shock capturing scheme for steady, supercritical, free-surface flow

Glaister, P. (1991) A shock capturing scheme for steady, supercritical, free-surface flow. Computational Mechanics, 8 (2). pp. 135-144. ISSN 1432-0924 doi: 10.1007/BF00350617

Abstract/Summary

Abstract A finite difference scheme is presented for the solution of the two-dimensional shallow water equations in steady, supercritical flow. The scheme incorporates numerical characteristic decomposition, is shock capturing by design and incorporates space-marching as a result of the assumption that the flow is wholly supercritical in at least one space dimension. Results are shown for problems involving oblique hydraulic jumps and reflection from a wall.