期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 230, 期 2, 页码 394-401出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2010.09.027
关键词
Bed slope; Force term; Lattice Boltzmann method; Rectangular lattice; Shallow water equations; Numerical method; Mathematical model
In the lattice Boltzmann method for the shallow water equations (LABSWE), the force term involves the first order derivative related to a bed slope, which has to be determined using the centred scheme for an accurate solution. However, such calculation contradicts the spirit of only simple arithmetic calculations required in the lattice Boltzmann method. This paper shows how to remove this drawback from the LABSWE by incorporating the bed level into the lattice Boltzmann equation in a consistent manner with the lattice Boltzmann approach. Three numerical tests have been presented to verify the proposed method. (c) 2010 Elsevier Inc. All rights reserved.
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