Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes

Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes

Numerical simulation of advective-dispersive contaminant transport is carried out by using high-order compact finite difference schemes combined with second-order MacCormack and fourth-order Runge-Kutta schemes. Both of the two schemes have accuracy of sixth-order in space. A sixth-order MacCormack...

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Main Author: Gurhan Gurarslan
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/396738
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spelling doaj-db717edfae78449cb52e00f4da4b991e2020-11-25T00:52:32ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/396738396738Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference SchemesGurhan Gurarslan0Department of Civil Engineering, Faculty of Engineering, Pamukkale University, 20070 Pamukkale, Denizli, TurkeyNumerical simulation of advective-dispersive contaminant transport is carried out by using high-order compact finite difference schemes combined with second-order MacCormack and fourth-order Runge-Kutta schemes. Both of the two schemes have accuracy of sixth-order in space. A sixth-order MacCormack scheme is proposed for the first time within this study. For the aim of demonstrating efficiency and high-order accuracy of the current methods, some numerical experiments have been done. The schemes are implemented to solve two test problems with known exact solutions. It has been exhibited that the methods are capable of succeeding high accuracy and efficiency with minimal computational effort, by comparisons of the computed results with exact solutions.http://dx.doi.org/10.1155/2014/396738
collection DOAJ
language English
format Article
sources DOAJ
author Gurhan Gurarslan
spellingShingle Gurhan Gurarslan
Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
Journal of Applied Mathematics
author_facet Gurhan Gurarslan
author_sort Gurhan Gurarslan
title Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
title_short Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
title_full Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
title_fullStr Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
title_full_unstemmed Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
title_sort accurate simulation of contaminant transport using high-order compact finite difference schemes
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Numerical simulation of advective-dispersive contaminant transport is carried out by using high-order compact finite difference schemes combined with second-order MacCormack and fourth-order Runge-Kutta schemes. Both of the two schemes have accuracy of sixth-order in space. A sixth-order MacCormack scheme is proposed for the first time within this study. For the aim of demonstrating efficiency and high-order accuracy of the current methods, some numerical experiments have been done. The schemes are implemented to solve two test problems with known exact solutions. It has been exhibited that the methods are capable of succeeding high accuracy and efficiency with minimal computational effort, by comparisons of the computed results with exact solutions.
url http://dx.doi.org/10.1155/2014/396738
work_keys_str_mv AT gurhangurarslan accuratesimulationofcontaminanttransportusinghighordercompactfinitedifferenceschemes
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