Lattice Boltzmann method at finite Knudsen numbers

By Federico Toschi, Sauro Succi. 2004

135 citations recorded by the source corpus.

A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking "virtual" collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in satisfactory agreement with analytical results over a broad spectrum of Knudsen numbers, ranging from the hydrodynamic regime, all the way to quasi-free flow regimes up to Kn ~ 30.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/7cc8134b966d6635dfe7e770b9501a57fa80ffe6

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In Computational Mechanics

1. Chuguang Zheng
2. Zhaoli Guo
3. Qing Li
4. Qing Liu
5. Yangyang He
6. Qinjun Kang
7. Tianshou Zhao
8. Junfeng Zhang

In Electrical and Electronic Engineering

1. Chuguang Zheng
2. Zhaoli Guo
3. Qing Li
4. Qing Liu
5. Yangyang He
6. Tianshou Zhao
7. Qinjun Kang
8. Junfeng Zhang

Citations in the corpus

• Analysis of lattice Boltzmann equation for microscale gas flows: Relaxation times, boundary conditions and the Knudsen layer (2008, background): “…number effects (Agrawal et al. 2005, Guo et al. 2006, 2007, 2008, Kim et al. 2005, Lee and Lin 2005, Lim et al. 2002, Nie et al. 2002, Niu et al. 2004, Sbragaglia and Succi 2005, Sofonea and Sekerka 2005, Tang et al. 2005, Teixeira 2005, Toschi and Succi 2005, Zhang et al. 2005, 2006, 2007).”