Saida Sari
Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations
Sari, Saida; Rowan, Thomas; Seaid, Mohammed; Benkhaldoun, Fayssal
Abstract
We present an efficient and conservative Eulerian-Lagrangian method for solving two-dimensional hydrostatic multilayer shallow water flows with mass exchange between the vertical layers. The method consists of a projection finite volume method for the Eulerian stage and a method of characteristics to approximate the numerical fluxes for the Lagrangian stage. The proposed method is simple to implement, satisfies the conservation property and it can be used for multilayer shallow water equations on non-flat bathymetry including eddy viscosity and Coriolis forces. It offers a novel method of calculating stratified vertical velocities without the use of the Navier-Stokes equations. Numerical results are presented for several examples and the obtained results for a free-surface flow problem are in close agreement with the analytical solutions. We also test the performance of the proposed method for a test example of wind-driven flows with recirculation
Citation
Sari, S., Rowan, T., Seaid, M., & Benkhaldoun, F. (2020). Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations. Communications in computational physics, 27(5), 1413-1442. https://doi.org/10.4208/cicp.oa-2019-0036
Journal Article Type | Article |
---|---|
Acceptance Date | May 15, 2019 |
Online Publication Date | Mar 31, 2020 |
Publication Date | 2020 |
Deposit Date | Oct 26, 2021 |
Publicly Available Date | Nov 13, 2024 |
Journal | Communications in computational physics. |
Print ISSN | 1815-2406 |
Electronic ISSN | 1991-7120 |
Publisher | Global Science Press |
Peer Reviewed | Peer Reviewed |
Volume | 27 |
Issue | 5 |
Pages | 1413-1442 |
DOI | https://doi.org/10.4208/cicp.oa-2019-0036 |
Public URL | https://durham-repository.worktribe.com/output/1230108 |
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