Lattice Boltzmann method with restored Galilean invariance
Lattice Boltzmann method with restored Galilean invariance
An isothermal model on the standard two-dimension nine-velocity lattice (D2Q9) is proposed and analyzed.
It originates from the thermal model with energy conservation introduced by N. I. Prasianakis and I. V. Karlin [Phys. Rev. E 76, 016702 (2007)]. The isothermal and the thermal equivalent models are tested through the
simulation of the decay of a shear wave and of a temperature wave. Both are shown to be Galilean invariant,
reference temperature independent, and rotational isotropic through the measurement of the transport coefficients on a rotated moving frame of reference.
066702-066709
Prasianakis, N.I.
99e1de6c-07c1-46c2-9a0c-88d5cd840572
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Mantzaras, J.
fe3ce38c-dec1-4e22-98e0-cbd67799d24f
Boulouchos, K.B.
48d28ebe-3928-4afe-9490-c107305b072c
2009
Prasianakis, N.I.
99e1de6c-07c1-46c2-9a0c-88d5cd840572
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Mantzaras, J.
fe3ce38c-dec1-4e22-98e0-cbd67799d24f
Boulouchos, K.B.
48d28ebe-3928-4afe-9490-c107305b072c
Prasianakis, N.I., Karlin, I.V., Mantzaras, J. and Boulouchos, K.B.
(2009)
Lattice Boltzmann method with restored Galilean invariance.
Physical Review E, 79 (6), .
(doi:10.1103/PhysRevE.79.066702).
Abstract
An isothermal model on the standard two-dimension nine-velocity lattice (D2Q9) is proposed and analyzed.
It originates from the thermal model with energy conservation introduced by N. I. Prasianakis and I. V. Karlin [Phys. Rev. E 76, 016702 (2007)]. The isothermal and the thermal equivalent models are tested through the
simulation of the decay of a shear wave and of a temperature wave. Both are shown to be Galilean invariant,
reference temperature independent, and rotational isotropic through the measurement of the transport coefficients on a rotated moving frame of reference.
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Published date: 2009
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Local EPrints ID: 155937
URI: http://eprints.soton.ac.uk/id/eprint/155937
ISSN: 1539-3755
PURE UUID: 75da1bbd-37de-416c-8858-eaf173448847
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Date deposited: 01 Jun 2010 13:19
Last modified: 14 Mar 2024 01:41
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Contributors
Author:
N.I. Prasianakis
Author:
I.V. Karlin
Author:
J. Mantzaras
Author:
K.B. Boulouchos
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