Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method
Joint Authors
Sadat Shokouhi, Seyed Kazem
Dolatshah, Azam
Vosoughifar, Hamid Reza
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper was concerned to simulate both wet and dry bed dam break problems.
A high-resolution finite volume method (FVM) was employed to solve the one-dimensional (1D) and two-dimensional (2D) shallow water equations (SWEs) using an unstructured Voronoi mesh grid.
In this attempt, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfaces.
The model named V-Break was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results.
Due to a precise agreement between those output and documented results, the V-Break could be considered as a reliable method for dealing with shallow water (SW) and shock problems, especially those having discontinuities.
In addition, statistical observations indicated a good conformity between the V-Break and analytical results clearly.
American Psychological Association (APA)
Vosoughifar, Hamid Reza& Dolatshah, Azam& Sadat Shokouhi, Seyed Kazem. 2013. Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-487600
Modern Language Association (MLA)
Vosoughifar, Hamid Reza…[et al.]. Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-487600
American Medical Association (AMA)
Vosoughifar, Hamid Reza& Dolatshah, Azam& Sadat Shokouhi, Seyed Kazem. Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-487600
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487600