The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Minimal entropic kinetic models for hydrodynamics
Open accessAbstract
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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The Lattice Boltzmann Equation for Fluid Dynamics and Beyond
Succi, S. (2001) · doi:10.1093/oso/9780198503989.001.0001 · Cited by 4,188
The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond
Yeomans, J. M. (2001) · Cited by 2,741
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Theory and Application of the Boltzmann Equation
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Theory and Application of the Boltzmann Equation
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Discretization of the Velocity Space in the Solution of the Boltzmann Equation
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Perfect entropy functions of the Lattice Boltzmann method
Karlin, I. V., Ferrante, A., & Öttinger, H. C. (1999) · Europhysics Letters (EPL) · doi:10.1209/epl/i1999-00370-1 · Cited by 372
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Cited by
Lattice-Boltzmann method for complex flows
Aidun, C. K., & Clausen, J. R. (2010) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-121108-145519 · Cited by 1,991
Metadata
- Authors
- Ansumali, S., Karlin, I. V., & Öttinger, H. C.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- 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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- 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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