A Finite Volume Method for Shallow Water Flows on Triangular Computational Grids

Abstract

This paper presents a finite volume method used to solve the two-dimensional shallow water (wave) equations and how the finite volume method is implemented in ANUGA software. This finite volume method is the numerical method underlying the software. ANUGA is open source software developed by Australian National University (ANU) and Geoscience Australia (GA). This software uses the finite volume method with triangular domain discretisation for the computation. Three test cases are considered in order to evaluate the performance of the software. Overall, ANUGA is a robust software to simulate two-dimensional shallow water flows.