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- W2321814162 abstract "The bed slope in the shallow-water equations reflects the bed topography. It is not a flow variable and cannot be determined in the solution to the flow equations. An immovable nonflat bed affects a flow as a force term, but the flow has no effect on it. Only when the bed term is correctly represented in a numerical method can it generate an accurate solution. In the enhanced lattice Boltzmann method for the shallow-water equations (eLABSWE), using an individual Chapman-Enskog analysis, it is found that such a correct representation can be achieved by retaining ${C}_{ensuremath{alpha}}=2{ensuremath{lambda}}_{ensuremath{alpha}}$, in which ${C}_{ensuremath{alpha}}$ is the coefficient for bed elevation in the lattice Boltzmann equation and ${ensuremath{lambda}}_{ensuremath{alpha}}$ is that for the water depth in the local equilibrium distribution function. The finding has been validated through simulations of a water at rest in a dish-shaped lake, a wind-induced shallow flow in the same lake, and a steady flow over a two-dimensional bed hump." @default.
- W2321814162 created "2016-06-24" @default.
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- W2321814162 date "2013-08-14" @default.
- W2321814162 modified "2023-09-23" @default.
- W2321814162 title "Determination of bed elevation in the enhanced lattice Boltzmann method for the shallow-water equations" @default.
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- W2321814162 doi "https://doi.org/10.1103/physreve.88.023302" @default.
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