Lattice Boltzmann Methods for Shallow Water Flow Applications

Thömmes, G.; Seaid, M.; Banda, M.

Abstract

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.

Citation

Thömmes, G., Seaid, M., & Banda, M. (2007). Lattice Boltzmann Methods for Shallow Water Flow Applications. International Journal for Numerical Methods in Fluids, 55(7), 673-692. https://doi.org/10.1002/fld.1489

• Journal Article Type: Article
• Publication Date: Nov 1, 2007
• Deposit Date: Jan 18, 2008
• Journal: International Journal for Numerical Methods in Fluids
• Print ISSN: 0271-2091
• Electronic ISSN: 1097-0363
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 7
• Pages: 673-692
• DOI: https://doi.org/10.1002/fld.1489
• Keywords: Shallow water equations, Lattice Boltzmann method, Strait of Gibraltar.
• Public URL: https://durham-repository.worktribe.com/output/1534096