A finite volume model on unstructured meshes and application in computing two dimensional flows

Abstract

Some methods in approximation of fluxes between adjacent cells have been proposed in context of the finite volume technique on unstructured meshes. A shallow water model has been developed for testing the proposed methods. The third order Adams-Bashforth scheme is used in integrating the governing equations. A filter has been designed to remove spurious waves. The model is tested on unstructured triangular meshes with some examples in literature.