| Issue |
ESAIM: M2AN
Volume 54, Number 6, November-December 2020
|
|
|---|---|---|
| Page(s) | 1917 - 1949 | |
| DOI | https://doi.org/10.1051/m2an/2020025 | |
| Published online | 16 September 2020 | |
Some multiple flow direction algorithms for overland flow on general meshes
IFP Énergies nouvelles, 1 et 4 avenue de Bois-Préau, Rueil-Malmaison 92852, France
* Corresponding author: julien.coatleven@ifpen.fr
Received:
17
September
2019
Accepted:
9
April
2020
After recalling the most classical multiple flow direction algorithms (MFD), we establish their equivalence with a well chosen discretization of Manning–Strickler models for water flow. From this analogy, we derive a new MFD algorithm that remains valid on general, possibly non conforming meshes. We also derive a convergence theory for MFD algorithms based on the Manning–Strickler models. Numerical experiments illustrate the good behavior of the method even on distorted meshes.
Mathematics Subject Classification: 65N08 / 65N12 / 65N15
Key words: Multiple flow direction algorithm / overland flow / virtual element method / hybrid finite volume / general meshes
© The authors. Published by EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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