Lattice Boltzmann methods for shallow water flow applications

We apply the lattice Boltzmann (LB) method for solving the shallow water equations with source terms such as the bed slope and bed friction. Our aim is to use a simple and accurate representation of the source terms in order to simulate practical shallow water flows without relying on upwind discret...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2007-11, Vol.55 (7), p.673-692
Main Authors: Thömmes, Guido, Seaïd, Mohammed, Banda, Mapundi K.
Format: Article
Language:English
Subjects:
Coastal oceanography, estuaries. Regional oceanography
Computational methods in fluid dynamics
Earth, ocean, space
Exact sciences and technology
External geophysics
Fluid dynamics
Fundamental areas of phenomenology (including applications)
lattice Boltzmann method
Physics
Physics of the oceans
shallow water equations
Strait of Gibraltar
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Summary:We apply the lattice Boltzmann (LB) method for solving the shallow water equations with source terms such as the bed slope and bed friction. Our aim is to use a simple and accurate representation of the source terms in order to simulate practical shallow water flows without relying on upwind discretization or Riemann problem solvers. We validate the algorithm on problems where analytical solutions are available. The numerical results are in good agreement with analytical solutions. Furthermore, we test the method on a practical problem by simulating mean flow in the Strait of Gibraltar. The main focus is to examine the performance of the LB method for complex geometries with irregular bathymetry. The results demonstrate its ability to capture the main flow features. Copyright © 2007 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.1489