Galilean Invariant Fluid-Solid Interfacial Dynamics in Lattice Boltzmann Simulations
arXiv:1303.0625 · doi:10.1016/j.jcp.2014.02.018
Abstract
Galilean invariance is a fundamental property; however, although the lattice Boltzmann equation itself is Galilean invariant, this property is usually not taken into account in the treatment of the fluid-solid interface. Here, we show that consideration of Galilean invariance in fluid-solid interfacial dynamics can greatly enhance the computational accuracy and robustness in a numerical simulation. Surprisingly, simulations are so vastly improved that the force fluctuation is very small and a time average becomes unnecessary.
22 pages, 8 figures, 50 references