Meshless simulation of dam break using MLPG-RBF and shallow water equations

University of Zilina, Faculty of Civil Engineering - Department of geotechnics, Univerzitná 8215/1, Slovakia

^* Corresponding author: muzik@fstav.uniza.sk

Abstract

This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the trial functions. Comparing with mesh-based methods, the present method is more efficient for large-scale problems with complex geometries. In this work, the numerical model is applied to simulate a dam-break problem as one of most descriptive benchmark problems for SWE. As a result, the adopted meshless method not only shows its algorithm applicability for class of problems described by SWE, but also brings more efficiency than several conventional mesh-based methods.