A multispeed lattice Boltzmann equation with nine velocity directions on a two-dimension square lattice is investigated. In the macroscopic hydrodynamic equation, the coefficient before convective term becomes 1 and t...A multispeed lattice Boltzmann equation with nine velocity directions on a two-dimension square lattice is investigated. In the macroscopic hydrodynamic equation, the coefficient before convective term becomes 1 and the viscosity can be decreased to zero. Computer simulation data are exactly coherent with theoretical results.展开更多
We present the development of a non-reflecting boundary condition,based on the Local One-Dimensional Inviscid(LODI)approach,for Lattice Boltzmann Models working with multi-speed stencils.We test and evaluate the LODI ...We present the development of a non-reflecting boundary condition,based on the Local One-Dimensional Inviscid(LODI)approach,for Lattice Boltzmann Models working with multi-speed stencils.We test and evaluate the LODI implementation with numerical benchmarks,showing significant accuracy gains with respect to the results produced by a simple zerogradient condition.We also implement a simplified approach,which allows handling the unknown distribution functions spanning several layers of nodes in a unified way,still preserving a comparable level of accuracy with respect to the standard formulation.展开更多
文摘A multispeed lattice Boltzmann equation with nine velocity directions on a two-dimension square lattice is investigated. In the macroscopic hydrodynamic equation, the coefficient before convective term becomes 1 and the viscosity can be decreased to zero. Computer simulation data are exactly coherent with theoretical results.
文摘We present the development of a non-reflecting boundary condition,based on the Local One-Dimensional Inviscid(LODI)approach,for Lattice Boltzmann Models working with multi-speed stencils.We test and evaluate the LODI implementation with numerical benchmarks,showing significant accuracy gains with respect to the results produced by a simple zerogradient condition.We also implement a simplified approach,which allows handling the unknown distribution functions spanning several layers of nodes in a unified way,still preserving a comparable level of accuracy with respect to the standard formulation.