Comparison of Numerical Schemes for Shallow Water Equation

Md. Saiduzzaman; Sobuj Ray

Comparison of Numerical Schemes for Shallow Water Equation

Sobuj Kumar Ray * §

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Md. Saiduzzaman

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§ IUBAT-International University of Business Agricultu...

Comparison of Numerical Schemes for Shallow Water Equation

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Abstract

Many problems of river management and civil protection consist of the evaluation of the maximum water levels and discharges that may be attained at particular locations during the development of an exceptional meteorological event. Numerical methods have become a useful tool to predict discharges and water levels in hydraulic systems. The shallow water or St. Venant equations, being a hyperbolic quasi- linear partial differential system represents a good candidate for the application of many of the techniques developed originally for Fluid Dynamics. In this paper we will present different numerical schemes such as Lax-Friedrich scheme, Lax-Wendroff scheme, Leap-Frog scheme for the shallow water equation and implement the numerical schemes by computer programming. Next we will compare these different schemes with respect to their efficiency and the quality of the solution indeed. Here we apply linear advection equation in order to test the accuracy of these schemes for shallow water equation.

References

6 Cites in Article

Reference Format

1. Pilar García-Navarro,Pilar Brufau One Dimensional Dam Break Flow 1. Modeling: Some results.
2. Duane Harselman,Bruce Littlefield Mastering Matlab.
3. Rokhsan-Ara-Hemel,L. Andallah (2009). Shallow Water Equation for Flood Modeling (study-1).
4. Rokhsan Hemel (2008). Numerical Simulation of Shallow Water Equation for Flood Modeling (study-1).
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sobuj Kumar Ray, Md. Saiduzzaman. 2013. "Comparison of Numerical Schemes for Shallow Water Equation". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue 14 (F4)).

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GJSFR Volume 13 Issue 14 (F4)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

equation of continuity lax-friedrich scheme lax-wendroff scheme leap-frog scheme linear advection equation shallow water equations. stencil

Classification

GJSFR-F Classification MSC 2010: 32W50

Submission ReceivedMarch 21, 2013
Peer Review Double Blind
Handling Editor
Accepted April 14, 2013
Published March 29, 2013

Version of record

v1.2

Issue date

March 29, 2013

Language

English

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Article Matrices

Total Score: 102

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Md.Saiduzzaman, Sobuj Kumar Ray (PhD/Dr. count: 0)

View Count (all-time): 358

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Total Downloads (simulated): 114

Publish Date: 2013 03, Fri

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Total Downloads: 114

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