Kinetic diffuse boundary condition for high-order lattice Boltzmann model with streaming-collision mechanism

TL;DR

This paper develops and validates a kinetic diffuse boundary condition for high-order lattice Boltzmann models, enabling accurate simulation of complex flows while preserving particle features beyond traditional hydrodynamics.

Contribution

It introduces a streaming-collision based boundary condition for high-order LB models and demonstrates its effectiveness through numerical validation.

Findings

Validated for isothermal and thermal Couette flows

Retains particle features beyond Navier-Stokes

Enhances high-order LB model accuracy

Abstract

The implementation of the kinetic diffuse boundary condition with the characteristic streaming-collision mechanism is studied for the high-order lattice Boltzmann (LB) models. The obtained formulation is also tested and validated numerically for three high-order LB models for both isothermal and thermal Couette flows. The streaming-collision mechanism ensures that high-order LB models can retain particle feature while go beyond the Navier-Stokes hydrodynamics.