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A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling

by Nouh Izem, Mohammed Seaid, Mohamed Wakrim
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 41 - Number 15
Year of Publication: 2012
Authors: Nouh Izem, Mohammed Seaid, Mohamed Wakrim
10.5120/5616-7895

Nouh Izem, Mohammed Seaid, Mohamed Wakrim . A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling. International Journal of Computer Applications. 41, 15 ( March 2012), 19-27. DOI=10.5120/5616-7895

@article{ 10.5120/5616-7895,
author = { Nouh Izem, Mohammed Seaid, Mohamed Wakrim },
title = { A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 41 },
number = { 15 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 19-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume41/number15/5616-7895/ },
doi = { 10.5120/5616-7895 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:29:40.113256+05:30
%A Nouh Izem
%A Mohammed Seaid
%A Mohamed Wakrim
%T A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 15
%P 19-27
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we present a numerical solution of the sediment transport equations in one horizontal dimension, based on a discontinuous Galerkin finite-element method. The continuous equations are discretized using nodal polynomial basis functions of arbitrary order in space on each element of an unstructured computational domain. To complete the discretization in space, we choose the numerical flux based in the local Lax-Friedrichs flux. A third-order explicit Runge-Kutta scheme is used to advance the solution in time. In spite of the local time steps the scheme is locally conservative, fully explicit, and arbitrary order accurate in space and time for transient calculations. Numerical results are shown for the one-dimensional with orders of accuracy two up to six in space.

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Index Terms

Computer Science
Information Sciences

Keywords

Morphodynamic Model Discontinuous Galerkin Finite-element Method Shallow Water Equations Sediment Transport

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