Multiscale lattice Boltzmann approach to modeling gas flows

TL;DR

This paper introduces a multiscale lattice Boltzmann method that adaptively uses high- and low-order models in different flow regions, simplifying coupling and preserving non-equilibrium data for efficient and accurate gas flow simulations.

Contribution

It presents a unified multiscale LB approach that simplifies coupling and maintains non-equilibrium information, improving accuracy and efficiency in gas flow modeling.

Findings

Achieves accurate gas flow simulation with reduced computational cost.

Effectively retains non-equilibrium information at model interfaces.

Demonstrates improved multiscale modeling over traditional hybrid methods.

Abstract

For multiscale gas flows, kinetic-continuum hybrid method is usually used to balance the computational accuracy and efficiency. However, the kinetic-continuum coupling is not straightforward since the coupled methods are based on different theoretical frameworks. In particular, it is not easy to recover the non-equilibrium information required by the kinetic method which is lost by the continuum model at the coupling interface. Therefore, we present a multiscale lattice Boltzmann (LB) method which deploys high-order LB models in highly rarefied flow regions and low-order ones in less rarefied regions. Since this multiscale approach is based on the same theoretical framework, the coupling precess becomes simple. The non-equilibrium information will not be lost at the interface as low-order LB models can also retain this information. The simulation results confirm that the present method can achieve model accuracy with reduced computational cost.