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Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation

Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation
Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation
A generalization of the lattice Bhatnagar-Gross-Krook (LBGK) model for the simulation of hydrodynamics is presented, which takes into account the difference and the frame-independence of the relaxation of non-hydrodynamic modes. The present model retains the computationally efficient standard LBGK form with the generalized equilibrium explicitly derived. The two-dimensional realization on the standard lattice is discussed in detail.
Performance of the model is assessed through a shear layer simulation and enhanced stability and accuracy with respect to the standard LBGK are reported. The results demonstrate that the present model is a useful upgrade of the standard LBGK without compromising its computational efficiency and accuracy.
1539-3755
Karlin, Ilya
3ffca333-7433-41f0-a7e1-2fdb91ddb41a
Lycett-Brown, Daniel
c719e1c9-d449-41f7-ab3a-66b0ca2ba0bc
Luo, Kai H.
86f52a13-fdcd-40e4-8344-a6fe47c4e16b
Karlin, Ilya
3ffca333-7433-41f0-a7e1-2fdb91ddb41a
Lycett-Brown, Daniel
c719e1c9-d449-41f7-ab3a-66b0ca2ba0bc
Luo, Kai H.
86f52a13-fdcd-40e4-8344-a6fe47c4e16b

Karlin, Ilya, Lycett-Brown, Daniel and Luo, Kai H. (2011) Enhanced lattice Bhatnagar-Gross-Krook method for fluid dynamics simulation. Physical Review E. (Submitted)

Record type: Article

Abstract

A generalization of the lattice Bhatnagar-Gross-Krook (LBGK) model for the simulation of hydrodynamics is presented, which takes into account the difference and the frame-independence of the relaxation of non-hydrodynamic modes. The present model retains the computationally efficient standard LBGK form with the generalized equilibrium explicitly derived. The two-dimensional realization on the standard lattice is discussed in detail.
Performance of the model is assessed through a shear layer simulation and enhanced stability and accuracy with respect to the standard LBGK are reported. The results demonstrate that the present model is a useful upgrade of the standard LBGK without compromising its computational efficiency and accuracy.

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Submitted date: 11 March 2011

Identifiers

Local EPrints ID: 192145
URI: http://eprints.soton.ac.uk/id/eprint/192145
ISSN: 1539-3755
PURE UUID: d037d920-909c-4e73-b489-2e2e0ea2ad8b

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Date deposited: 30 Jun 2011 10:26
Last modified: 14 Mar 2024 03:49

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Contributors

Author: Ilya Karlin
Author: Daniel Lycett-Brown
Author: Kai H. Luo

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