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Zhuangming Zhao, Ping Huang, Yineng Li and Junmin Li A lattice Boltzmann method for viscous free surface waves in two dimensions International Journal for Numerical Methods in Fluids 71

Version of Record online: 12 MAR 2012 | DOI: 10.1002/fld.3660

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The lattice Boltzmann equilibrium distribution functions are modified so that only the nonhydrostatic pressure is included. The hydrostatic part is added as a force term to the Lattice Boltzmann equation with a finite difference scheme. The free surface boundary condition for lattice Boltzmann equation is improved from previous study with higher accuracy. The interpolationsupplemented lattice Boltzmann method is introduced to simulate waves on arbitrary and nonuniform meshes, which much enhance the flexibility and the computational efficiency.

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