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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/396738 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849473049042092032 |
|---|---|
| author | Gurhan Gurarslan |
| author_facet | Gurhan Gurarslan |
| author_sort | Gurhan Gurarslan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-db717edfae78449cb52e00f4da4b991e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-db717edfae78449cb52e00f4da4b991e2025-08-20T03:24:20ZengWileyJournal 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 |
| spellingShingle | Gurhan Gurarslan Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes Journal of Applied Mathematics |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/396738 |
| work_keys_str_mv | AT gurhangurarslan accuratesimulationofcontaminanttransportusinghighordercompactfinitedifferenceschemes |