Numerical Entropy Production of Shallow Water Flows along Channels with Varying Width
- 10.2991/icopia-14.2015.17How to use a DOI?
- finite volume method, numerical entropy production, shallow water equation, varying width channel
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.
- © 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 -