Single MRT-featured Lattice Boltzmann Method (SmrtLBM)

TL;DR

The paper introduces SmrtLBM, a simplified yet stable lattice Boltzmann method that combines the efficiency of single-relaxation-time schemes with the stability of MRT techniques, improving complex fluid flow simulations.

Contribution

It presents a novel single-relaxation-time-like scheme derived from MRT collision operators, enhancing stability without sacrificing simplicity.

Findings

Accurately captures complex flow characteristics.

Demonstrates superior stability at high Reynolds numbers.

Offers improved accuracy over traditional methods.

Abstract

A novel single MRT-featured lattice Boltzmann method (SmrtLBM) is introduced. The intricate algorithm of the multiple-relaxation-time (MRT) collision operator is reimagined and distilled into a streamlined, single-relaxation-time-like scheme. This innovation preserves the simplicity and efficiency of the conventional single-relaxation-time approach while inheriting the enhanced stability characteristic of the MRT techniques, making it a powerful tool for simulating complex fluid flows. Rigorous numerical testing on cavity flows demonstrates that SmrtLBM accurately captures complex flow characteristics, even in challenging high Reynolds number regimes where precision and stability are crucial. Compared to the traditional single-relaxation-time lattice Boltzmann method, this model offers superior stability and accurate solutions for difficult flows. The SmrtLBM marks a breakthrough in complex fluid simulation through a simple method, offering a new level of efficiency and reliability in tackling challenging flow problems.