By introducing a new conserved variable the Serre equations can be written in conservation law form and the numerical techniques for solving hyperbolic equations can be used to solve the Serre ...

In this paper a general numerical method for solving Riemann problems is discussed. It can be used to solve the Riemann problems of various hyperbolic systems of differential equations with two ...

Abstract We adapt the spectral viscosity (SV) formulation implemented as a modal filter to a Spectral Difference Method (SD) solving hyperbolic conservation laws.