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Minimal entropic kinetic models for hydrodynamics

Minimal entropic kinetic models for hydrodynamics
Minimal entropic kinetic models for hydrodynamics
We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the setup of Taylor vortex flow. A simple analytical procedure for constructing the equilibrium for thermal hydrodynamics is established. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented. This results in an entropic version of the isothermal lattice Boltzmann method with the simplicity and computational efficiency of the standard lattice Boltzmann model
0295-5075
798-804
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c

Ansumali, S., Karlin, I.V. and Ottinger, H.C. (2003) Minimal entropic kinetic models for hydrodynamics. Europhysics Letters, 63 (6), 798-804. (doi:10.1209/epl/i2003-00496-6).

Record type: Article

Abstract

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the setup of Taylor vortex flow. A simple analytical procedure for constructing the equilibrium for thermal hydrodynamics is established. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented. This results in an entropic version of the isothermal lattice Boltzmann method with the simplicity and computational efficiency of the standard lattice Boltzmann model

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Published date: September 2003

Identifiers

Local EPrints ID: 49166
URI: http://eprints.soton.ac.uk/id/eprint/49166
ISSN: 0295-5075
PURE UUID: 63ff96a4-053e-4bbe-a806-53af6a089cb2

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Date deposited: 24 Oct 2007
Last modified: 26 Apr 2022 19:27

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Contributors

Author: S. Ansumali
Author: I.V. Karlin
Author: H.C. Ottinger

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