Proceedings of the 2014 International Conference on Physics and its Applications

Numerical Entropy Production of Shallow Water Flows along Channels with Varying Width

Authors
Sudi Mungkasi
Corresponding Author
Sudi Mungkasi
Available Online September 2014.
DOI
10.2991/icopia-14.2015.17How to use a DOI?
Keywords
finite volume method, numerical entropy production, shallow water equation, varying width channel
Abstract

We study the behavior of numerical entropy production of shallow water flows along channel by varying width. The topography is assumed to be horizontal, but the channel width can be in an arbitrary shape. The flows are governed by the system of shallow water equations. These equations are numerically solved using a finite volume method. The entropy of water flows are considered as the physical energy of the flows. The local truncation error of the entropy is defined to be the numerical entropy production, which has been successful as a smoothness indicator of solutions to the shallow water equations. In this paper, we present our study results on the relationship between numerical entropy production of the shallow water equations and the cell width of the finite volume method. We find that as the cell width is halved, the maximum value of the numerical entropy production is doubled.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2014 International Conference on Physics and its Applications
Series
Advances in Physics Research
Publication Date
September 2014
ISBN
978-94-62520-51-6
ISSN
2352-541X
DOI
10.2991/icopia-14.2015.17How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Sudi Mungkasi
PY  - 2014/09
DA  - 2014/09
TI  - Numerical Entropy Production of Shallow Water Flows along Channels with Varying Width
BT  - Proceedings of the 2014 International Conference on Physics and its Applications
PB  - Atlantis Press
SP  - 94
EP  - 98
SN  - 2352-541X
UR  - https://doi.org/10.2991/icopia-14.2015.17
DO  - 10.2991/icopia-14.2015.17
ID  - Mungkasi2014/09
ER  -