A BGK model for three-dimensional shallow water problems
| Main Authors: | Ghidaoui, Mohamed S., Liang, Jun Hong |
|---|---|
| Format: | Proceeding |
| Terbitan: |
, 2006
|
| Online Access: |
https://zenodo.org/record/3537132 |
Daftar Isi:
- This paper focuses on illustrating how the Boltzmann theory can be used to formulate numerical algorithms for three-dimensional shallow water equations. The paper begins by showing that the classical three-dimensional shallow water equations are obtainable from the moments of the Boltzmann Bhatnagar-Gross-Krook (BGK) equation. This connection is then exploited to formulate a three-dimensional finite volume for shallow flows in which the fluxes are obtained on the basis of the BGK equation. The resulting scheme is illustrated using a variety of surface water problems. The advantages of using the Boltzmann-based to formulate numerical algorithms for surface water flows are summarized.
- Presenters: name: Ghidaoui, Mohamed S. affiliation: Dept of Civil Engineering, The Hong Kong University of Science & Technology