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Enhancement of the LABSWE for shallow water flows

✍ Scribed by Jian Guo Zhou

Book ID
104021006
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
629 KB
Volume
230
Category
Article
ISSN
0021-9991

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✦ Synopsis

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.

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