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Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method

by Nouh Izem, Mohammed Seaid, Mohamed Wakrim
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 43 - Number 6
Year of Publication: 2012
Authors: Nouh Izem, Mohammed Seaid, Mohamed Wakrim
10.5120/6108-8325

Nouh Izem, Mohammed Seaid, Mohamed Wakrim . Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method. International Journal of Computer Applications. 43, 6 ( April 2012), 20-28. DOI=10.5120/6108-8325

@article{ 10.5120/6108-8325,
author = { Nouh Izem, Mohammed Seaid, Mohamed Wakrim },
title = { Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 43 },
number = { 6 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 20-28 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume43/number6/6108-8325/ },
doi = { 10.5120/6108-8325 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:32:43.499927+05:30
%A Nouh Izem
%A Mohammed Seaid
%A Mohamed Wakrim
%T Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 43
%N 6
%P 20-28
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Numerical simulations of the lock-exchange hydraulics have been carried out using a discontinuous Galerkin finite element method. The basic water circulation in the lock-exchange hydraulics consists in an upper layer of cold, fresh surface water and an opposite deep current of warmer, salty outflowing water. The governing equations are the well-established two-layer shallow water system including bathymetric forces. The considered discontinuous Galerkin method is a stable, highly accurate and locally conservative finite element method whose approximate solutions are discontinuous across interelement boundaries; this property renders the method ideally suited for the hp-adaptivity. The proposed method can handle complex topography using unstructured grids and it satisfies the conservation property. Several numerical results are presented to demonstrate the high resolution of the proposed method and to confirm its capability to provide accurate and efficient simulations for the lock-exchange hydraulics.

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Index Terms

Computer Science
Information Sciences

Keywords

Discontinuous Galerkin Method Two-layer Shallow Water Equations Finite Element Lock-exchange Hydraulics

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