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

Publisher: Edp Sciences

E-ISSN: 2261-236x|117|issue|00127-00127

ISSN: 2261-236x

Source: MATEC Web of conference, Vol.117, Iss.issue, 2017-07, pp. : 00127-00127

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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.