Generalized transformation of the lattice Boltzmann method for shallow water flows

Hedjripour, Amir H., Callaghan, David P. and Baldock, Tom E. (2016) Generalized transformation of the lattice Boltzmann method for shallow water flows. Journal of Hydraulic Research, 54 4: 371-388. doi:10.1080/00221686.2016.1168881

Author Hedjripour, Amir H.
Callaghan, David P.
Baldock, Tom E.
Title Generalized transformation of the lattice Boltzmann method for shallow water flows
Journal name Journal of Hydraulic Research   Check publisher's open access policy
ISSN 0022-1686
Publication date 2016-04-28
Year available 2016
Sub-type Article (original research)
DOI 10.1080/00221686.2016.1168881
Open Access Status Not Open Access
Volume 54
Issue 4
Start page 371
End page 388
Total pages 18
Place of publication Abingdon, Oxfordshire, United Kingdom
Publisher Taylor & Francis
Collection year 2017
Language eng
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.
Keyword Asymmetric scheme
Galilean transformation
Lattice Boltzmann method
Shallow water equations
Supercritical flow
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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