Impact of reconstruction schemes on interpreting lattice Boltzmann results -- A study using the Taylor-Green vortex problem

TL;DR

This study investigates how different reconstruction schemes affect the interpretation of lattice Boltzmann simulation data, especially for turbulence quantities, demonstrating that higher-order spatial schemes improve accuracy in the Taylor-Green vortex problem.

Contribution

It provides new insights into the impact of reconstruction order on turbulence quantity predictions in lattice Boltzmann simulations.

Findings

Higher than second-order spatial schemes improve turbulence quantity predictions.

Second-order time series reconstruction yields good accuracy for kinetic energy dissipation.

Lattice Boltzmann method effectively simulates turbulent flows with low numerical diffusion.

Abstract

In this note, we show how reconstruction schemes can have a significant impact on interpreting lattice Boltzmann simulation data. To reconstruct turbulence quantities, e.g., the kinetic energy dissipation rate and enstrophy, schemes higher than second-order for spatial derivatives can greatly improve the prediction of these quantities in the Taylor-Green vortex problem. In contrast, a second-order reconstruction of the time series data indicates very good accuracy for the kinetic energy dissipation rate. The present findings can be considered as further numerical evidence of the capability of the lattice Boltzmann method to simulate turbulent flows, which is consistent with its proven feature of low numerical diffusion.