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General characteristic-based algorithm for off-lattice Boltzmann simulations

General characteristic-based algorithm for off-lattice Boltzmann simulations
General characteristic-based algorithm for off-lattice Boltzmann simulations
The Lattice Boltzmann method offers an appealing potential for simulation of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the applicability of the traditional Lattice Boltzmann method to uniform, regular lattices which is often disadvantageous in practice. Available off-lattice Boltzmann algorithms have stability problems which are to be handled at the expense of additional computational cost. Here, we propose and validate a general characteristic-based algorithm for off-lattice Boltzmann simulations that preserves all appealing properties of the standard Lattice Boltzmann method while extending the method to unstructured grids. Both, finite-element and finite-difference implementations of the algorithms are exemplified.
0295-5075
434-440
Bardow, A.
2651ce25-c2ba-481a-b735-464ac7c6ca30
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Gusev, A.A.
5fa85431-9b9a-499f-a5d1-e1b05c232d45
Bardow, A.
2651ce25-c2ba-481a-b735-464ac7c6ca30
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Gusev, A.A.
5fa85431-9b9a-499f-a5d1-e1b05c232d45

Bardow, A., Karlin, I.V. and Gusev, A.A. (2006) General characteristic-based algorithm for off-lattice Boltzmann simulations. Europhysics Letters, 75 (3), 434-440. (doi:10.1209/epl/i2006-10138-1).

Record type: Article

Abstract

The Lattice Boltzmann method offers an appealing potential for simulation of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the applicability of the traditional Lattice Boltzmann method to uniform, regular lattices which is often disadvantageous in practice. Available off-lattice Boltzmann algorithms have stability problems which are to be handled at the expense of additional computational cost. Here, we propose and validate a general characteristic-based algorithm for off-lattice Boltzmann simulations that preserves all appealing properties of the standard Lattice Boltzmann method while extending the method to unstructured grids. Both, finite-element and finite-difference implementations of the algorithms are exemplified.

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Submitted date: 2 May 2006
Published date: August 2006

Identifiers

Local EPrints ID: 49245
URI: http://eprints.soton.ac.uk/id/eprint/49245
ISSN: 0295-5075
PURE UUID: 7f2ddd37-2f0b-45d3-b919-67a4624e571b

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Date deposited: 25 Oct 2007
Last modified: 15 Mar 2024 09:54

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Contributors

Author: A. Bardow
Author: I.V. Karlin
Author: A.A. Gusev

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