Diffuse reflection boundary condition for high-order lattice Boltzmann models with streaming-collision mechanism

Jian-Ping Meng, Yonghao Zhang

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

For lattice Boltzmann (LB) models, their particle feature is ensured by the streaming–collision mechanism. However, this mechanism is often discarded for high-order LB models due to multi-speed lattices. Here, we propose a new way of implementing the diffuse reflection boundary condition that can maintain the characteristic streaming–collision mechanism for high-order models. It is then tested on four lattice models, namely D2Q16, D2Q17, D2Q37 and D3Q121 for isothermal and thermal Couette flows and lid-driven cavity flows. Our implementation is shown to be able to achieve second-order accuracy globally.
LanguageEnglish
Pages601-612
JournalJournal of Computational Physics
Volume258
Early online date8 Nov 2013
DOIs
Publication statusPublished - 1 Feb 2014

Fingerprint

Lattice Boltzmann Model
Streaming
Collision
Boundary conditions
Higher Order
boundary conditions
collisions
Driven Cavity Flow
Lid-driven Cavity
Second-order Accuracy
Couette Flow
Lattice Model
cavity flow
Couette flow
Model

Keywords

  • lattice Boltzmann (LB) models
  • high-order model
  • diffuse reflection boundary condition
  • streaming-collision scheme

Cite this

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abstract = "For lattice Boltzmann (LB) models, their particle feature is ensured by the streaming–collision mechanism. However, this mechanism is often discarded for high-order LB models due to multi-speed lattices. Here, we propose a new way of implementing the diffuse reflection boundary condition that can maintain the characteristic streaming–collision mechanism for high-order models. It is then tested on four lattice models, namely D2Q16, D2Q17, D2Q37 and D3Q121 for isothermal and thermal Couette flows and lid-driven cavity flows. Our implementation is shown to be able to achieve second-order accuracy globally.",
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Diffuse reflection boundary condition for high-order lattice Boltzmann models with streaming-collision mechanism. / Meng, Jian-Ping; Zhang, Yonghao.

In: Journal of Computational Physics, Vol. 258, 01.02.2014, p. 601-612.

Research output: Contribution to journalArticle

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