Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gurarslan, Gurhan. 2014. Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-468869
Modern Language Association (MLA)
Gurarslan, Gurhan. Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-468869
American Medical Association (AMA)
Gurarslan, Gurhan. Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-468869
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468869