A Comparative Study between Finite Difference Method and Finite Volume Method for Shallow Water-Dam Break Flow Problem

A Comparative Study between Finite Difference Method and Finite Volume Method for Shallow Water-Dam Break Flow Problem

M. M. Rahaman

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Jahangirnagar University

A Comparative Study between Finite Difference Method and Finite Volume Method for Shallow Water-Dam Break Flow Problem

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Abstract

In this paper we perform numerical simulation of shallow water equations for dam break flow problem. Finite difference method and finite volume method are applied for the numerical solution of the shallow water equations. We estimate water height and water velocity for the test case of shallow waterdam break flow problem at different height ratio. The comparisons between the finite difference method and finite volume method for 1-D dam break problem have been shown. The agreement of numerical solution with analytic solution by finite volume method is better than finite difference method. We compare the computational efficiency for both schemes in subcritical flow.

References

10 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

M. M. Rahaman. 2019. \u201cA Comparative Study between Finite Difference Method and Finite Volume Method for Shallow Water-Dam Break Flow Problem\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F3).

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GJSFR Volume 19 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification MSC 2010: 65L12

Submission ReceivedNovember 7, 2018
Peer Review Double Blind
Handling Editor
Accepted December 4, 2018
Published December 16, 2018

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v1.2

Issue date

August 19, 2019

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