MATEC Web Conf.
Volume 117, 2017RSP 2017 – XXVI R-S-P Seminar 2017 Theoretical Foundation of Civil Engineering
|Number of page(s)||8|
|Published online||24 July 2017|
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: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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