A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

Year:    2023

Author:    Friedemann Klass, Alessandro Gabbana, Andreas Bartel

Communications in Computational Physics, Vol. 33 (2023), Iss. 1 : pp. 101–117

Abstract

We present the development of a non-reflecting boundary condition, based on the Local One-Dimensional Inviscid (LODI) approach, for Lattice Boltzmann Models working with multi-speed stencils.
We test and evaluate the LODI implementation with numerical benchmarks, showing significant accuracy gains with respect to the results produced by a simple zero-gradient condition. We also implement a simplified approach, which allows handling the unknown distribution functions spanning several layers of nodes in a unified way, still preserving a comparable level of accuracy with respect to the standard formulation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2022-0052

Communications in Computational Physics, Vol. 33 (2023), Iss. 1 : pp. 101–117

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Characteristic boundary condition non-reflective boundary conditions local one-dimensional inviscid boundary conditions lattice Boltzmann method multispeed high order models.

Author Details

Friedemann Klass

Alessandro Gabbana

Andreas Bartel