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Minimal entropic kinetic models for hydrodynamics

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Ansumali, S, Karlin, I. V, Öttinger, H. C·2003·Europhysics Letters (EPL)

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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Metadata

Authors
Ansumali, S., Karlin, I. V., & Öttinger, H. C.
Venue
Europhysics Letters (EPL)
Published
2003-09
Volume
63
Issue
6
Pages
798-804
ISSN
  • 0295-5075 (ISSN-L)
  • 1286-4854
OpenAlex
W2002589306
Cited by
273
References
20
FWCI
12.87
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Minimal entropic kinetic models for hydrodynamics. https://app.cochat.ai/papers/10.1209/epl/i2003-00496-6
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Ansumali, S., Karlin, I. V., & Öttinger, H. C. (2003). Minimal entropic kinetic models for hydrodynamics. Europhysics Letters (EPL). https://doi.org/10.1209/epl/i2003-00496-6

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