Author(s): Haifei Liu; Yu Ding; Yong Peng
Linked Author(s): Haifei Liu
Keywords: Wet-dry boundary; Lattice Boltzmann; Shallow water equations; Long wave
Abstract: Based on the lattice Boltzmann scheme for 1D shallow water equations, this study presents an approach for the wet-dry boundary condition. In order to build up a relation between the dry bed cell and its neighboring wet cell, the Chapman-Enskog expansion and the Taylor expansion are used. This approach has several advantages: no spurious assumption of a thin water film, no nonphysical linear extrapolation of water depth or velocity, and no violation of local dependence. A typical test of long wave in a container with parabolic bed topography and bed friction is used to test the scheme. The numerical results agree well with the analytical solution, demonstrating the effectiveness and accuracy of the new approach.
Year: 2013