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Volume 33, Issue 1
A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods

Friedemann Klass, Alessandro Gabbana & Andreas Bartel

DOI: 10.4208/cicp.OA-2022-0052

Commun. Comput. Phys., 33 (2023), pp. 101-117.

Published online: 2023-02

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  • 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.

  • Keywords

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

  • AMS Subject Headings

76M28, 76P05, 76M20

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-33-101, author = {Klass , FriedemannGabbana , Alessandro and Bartel , Andreas}, title = {A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0052}, url = {http://global-sci.org/intro/article_detail/cicp/21427.html} }
TY - JOUR T1 - A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods AU - Klass , Friedemann AU - Gabbana , Alessandro AU - Bartel , Andreas JO - Communications in Computational Physics VL - 1 SP - 101 EP - 117 PY - 2023 DA - 2023/02 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0052 UR - https://global-sci.org/intro/article_detail/cicp/21427.html KW - Characteristic boundary condition, non-reflective boundary conditions, local one-dimensional inviscid boundary conditions, lattice Boltzmann method, multispeed high order models. AB -

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.

Friedemann Klass, Alessandro Gabbana & Andreas Bartel. (2023). A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods. Communications in Computational Physics. 33 (1). 101-117. doi:10.4208/cicp.OA-2022-0052
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