Galilean Invariant Fluid-Solid Interfacial Dynamics in Lattice Boltzmann Simulations

TL;DR

This paper demonstrates that incorporating Galilean invariance into fluid-solid interface modeling within lattice Boltzmann simulations significantly improves accuracy and stability, reducing force fluctuations and eliminating the need for time averaging.

Contribution

The study introduces a method to account for Galilean invariance at fluid-solid interfaces, enhancing the accuracy and robustness of lattice Boltzmann simulations.

Findings

Force fluctuations are greatly reduced.

Simulation accuracy and robustness are significantly improved.

Time averaging becomes unnecessary.

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.