Matrix lattice Boltzmann reloaded
Matrix lattice Boltzmann reloaded
The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators which permits to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid driven cavity.
2202-2210
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Asinari, P.
9db3ca0d-3a5f-40b7-94a6-f11928f74b3d
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
2011
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Asinari, P.
9db3ca0d-3a5f-40b7-94a6-f11928f74b3d
Succi, S.
159d4d9f-4607-4485-8fca-4d7ad11db6f4
Karlin, I.V., Asinari, P. and Succi, S.
(2011)
Matrix lattice Boltzmann reloaded.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 369, .
(doi:10.1098/rsta.2011.0061).
Abstract
The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators which permits to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid driven cavity.
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DSFD-10-MR-PhilTransRoySocA.pdf
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Published date: 2011
Organisations:
Engineering Sciences
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Local EPrints ID: 173275
URI: http://eprints.soton.ac.uk/id/eprint/173275
ISSN: 1364-503X
PURE UUID: 50ccddbc-6bce-41f7-8405-10ea8f791d0c
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Date deposited: 03 Feb 2011 08:48
Last modified: 14 Mar 2024 02:30
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Author:
I.V. Karlin
Author:
P. Asinari
Author:
S. Succi
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