1. Generalized transformation of the lattice Boltzmann method for shallow water flows.
- Author
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Hedjripour, Amir H., Callaghan, David P., and Baldock, Tom E.
- Subjects
LATTICE Boltzmann methods ,FLUID flow ,GALILEAN transformation ,OPEN-channel flow ,HYDRAULICS - Abstract
A one-dimensional lattice Boltzmann model is developed to solve the shallow water equations for steady and unsteady flows within both the subcritical and supercritical regimes. Previous work is extended through a generalized Galilean transformation applied to the standard scheme. The transformation yields a general asymmetric lattice Boltzmann model scheme which can successfully model a wide range of both subcritical and supercritical flow regimes, and enables implementation of the asymmetric model for practical purposes. In current work, a new set of equilibrium functions, boundary conditions and the external force weights are derived for the generalized transformed scheme. A new stability region is also defined, allowing selection of a lattice speed that maintains numerical stability for a wider range of sub- and supercritical flows and combinations of those flow conditions, compared to the previous scheme with fixed asymmetry. The model is validated against a range of benchmark cases in open-channel hydraulics that demonstrate the applicability of the new model. [ABSTRACT FROM PUBLISHER]
- Published
- 2016
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