A non-reflective boundary condition for LBM based on the assumption of non-equilibrium symmetry

2020/05/18 by R. Euser, Euser, R., C. Vuik +1
Engineering · #Aerosol Filtration and Electrostatic Precipitation #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2005.08674

openalex publication_date 2020/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study a new type of non-reflective boundary condition (NRBC) for the Lattice Boltzmann Method (LBM) is proposed; the Non-equilibrium Symmetry Boundary Condition (NSBC). The idea behind this boundary condition is to utilize the characteristics of the non-equilibrium distribution function to assign values to the incoming populations. A simple gradient based extrapolation technique and a far-field criterion are used to predict the macroscopic fluid variables. To demonstrate the non-reflective behaviour of the NSBC, two different tests have been carried out, examining the capability of the boundary to absorb acoustic waves respectively vortices. The results for both tests show that the amount of reflection generated by the NSBC is nearly zero.

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