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

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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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  -