The role of the Rankine-Hugoniot relations in staggered finite difference schemes for the shallow water equations

The purpose of this work is to point out the relevance of the Rankine-Hugoniot jump relations regarding the numerical solution of the inviscid shallow water equations. To arrive at physically relevant solutions in rapidly varied flow, it is of crucial importance that continuity of mass flux and momentum flux across a steady discontinuity is...

Computation of turbulent flow in general domains

Finite-Volume Computation of Incompressible Turbulent Flows in General Coordinates on Staggered Grids