Velocity interpolation based Bounce-Back scheme for non-slip boundary condition in Lattice Boltzmann Method

TL;DR

This paper introduces a velocity interpolation bounce-back scheme for the Lattice Boltzmann Method that improves boundary condition accuracy on complex geometries, especially at high Reynolds numbers.

Contribution

A novel velocity interpolation bounce-back scheme combining interpolated bounce-back and non-equilibrium extrapolation for better boundary accuracy in LBM.

Findings

Enhanced accuracy at high Reynolds numbers.

Reduced dependency on solid position in boundary conditions.

Validated improvements through benchmark cases.

Abstract

Lattice Boltzmann Method(LBM) has achieved considerable success on simulating complex flows. However, how to impose correct boundary conditions on the fluid-solid interface with complex geometries is still an open question. Here we proposed a velocity interpolation based bounce-back scheme where the ideas of interpolated bounce-back and non-equilibrium extrapolation are combined. The proposed scheme is validated by several well-defined benchmark cases. It is shown that the proposed scheme offers a better accuracy at high Reynolds number and less dependency on solids positions which may crucial in many engineering and science applications.