Modified Predictor-Corrector WAF Method for the Shallow Water Equations with Source Terms
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A modified predictor-corrector scheme combining with the depth gradient method (DGM) and the weighted average flux (WAF) method has been presented to solve the one-dimensional shallow water equations with source terms.
Approximate solutions in the predictor step are obtained by the DGM with piecewise-linear reconstructions in each cell volume.
The source terms can then be calculated directly by these predicted values at the corresponding half-time step.
In the corrector step, the TVD version of the WAF method is applied to calculate the numerical fluxes at the same half-time step for each cell face.
The accuracy of numerical solutions is shown by applying the method to solve various test cases in both steady and unsteady problems with and without source terms.
It shows that the numerical results are in good agreement with the existing analytical solutions as well as experimental data in some test cases.
American Psychological Association (APA)
Maleewong, Montri. 2011. Modified Predictor-Corrector WAF Method for the Shallow Water Equations with Source Terms. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-452150
Modern Language Association (MLA)
Maleewong, Montri. Modified Predictor-Corrector WAF Method for the Shallow Water Equations with Source Terms. Mathematical Problems in Engineering No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-452150
American Medical Association (AMA)
Maleewong, Montri. Modified Predictor-Corrector WAF Method for the Shallow Water Equations with Source Terms. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-452150
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452150