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Grad's approximation for missing data in lattice Boltzmann simulations

Grad's approximation for missing data in lattice Boltzmann simulations
Grad's approximation for missing data in lattice Boltzmann simulations
Engineering applications of computational fluid dynamics typically require specification of the boundary conditions at the inlet and at the outlet. It is known that the accuracy and stability of simulations is greatly influenced by the boundary conditions even at moderate Reynolds numbers. In this paper, we derive a new outflow boundary condition for the lattice Boltzmann simulations from non-equilibrium thermodynamics and Grad's moment closure. The proposed boundary condition is validated with a three-dimensional simulation of a backward facing step flow. Results demonstrate that the new outlet condition significantly extends the simulation capability of the lattice Boltzmann method.
0295-5075
215-221
Chikatamarla, S.S.
edd9c515-cfeb-436c-a562-61171f2e0290
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Chikatamarla, S.S.
edd9c515-cfeb-436c-a562-61171f2e0290
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a

Chikatamarla, S.S., Ansumali, S. and Karlin, I.V. (2006) Grad's approximation for missing data in lattice Boltzmann simulations. Europhysics Letters, 74 (2), 215-221. (doi:10.1209/epl/i2005-10535-x).

Record type: Article

Abstract

Engineering applications of computational fluid dynamics typically require specification of the boundary conditions at the inlet and at the outlet. It is known that the accuracy and stability of simulations is greatly influenced by the boundary conditions even at moderate Reynolds numbers. In this paper, we derive a new outflow boundary condition for the lattice Boltzmann simulations from non-equilibrium thermodynamics and Grad's moment closure. The proposed boundary condition is validated with a three-dimensional simulation of a backward facing step flow. Results demonstrate that the new outlet condition significantly extends the simulation capability of the lattice Boltzmann method.

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More information

Submitted date: 24 October 2005
Published date: April 2006

Identifiers

Local EPrints ID: 49242
URI: https://eprints.soton.ac.uk/id/eprint/49242
ISSN: 0295-5075
PURE UUID: 5fe213f4-2fef-4e20-8dc2-799803ba5155

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Date deposited: 25 Oct 2007
Last modified: 13 Mar 2019 20:54

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