Author(s)

A. Fredj & R. Kahawita

Abstract

A combined Eulerian-Lagrangian method (ELM), with applications to the two-dimensional shallow water wave equations and to the convection- dispersion equation has been evaluated. A semi-implicit formulation of the method is derived and discussed. The gradient of water surface elevation in the momentum equations and the velocity divergence in the continuity equation is discretized implicitly. An explicit Eulerian-Lagrangian approach with large time steps is used to discretize the convective terms. A complete elimination of the stability restriction may be achieved, so that the time step becomes independent of wave celerity. The same technique has been applied to the depth averaged convection-diffusion (transport) equation. The validat

Keywords