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Perfect entropy functions of the Lattice Boltzmann method
Open accessAbstract
In this letter, we derive entropy functions whose local equilibria are suitable to recover the Navier-Stokes equations in the framework of the Lattice Boltzmann method. For the two-dimensional nine-velocity lattice we demonstrate that such an entropy function is unique, and that the expansion of the corresponding local equilibrium is the well-known local equilibrium of Y. H. Qian et al. ( Europhys. Lett. , 17 (1992) 479). Based on the knowledge of entropy functions, we introduce a new version of the Lattice Boltzmann method with an H -theorem built in.
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Cites
Lattice-gas automata for the Navier-Stokes equation
Frisch, U., Hasslacher, B., & Pomeau, Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1505 · Cited by 2,788
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
Kinetic boundary conditions in the lattice Boltzmann method
Ansumali, S., & V. Karlin, I. (2002) · Physical Review E · doi:10.1103/physreve.66.026311 · Cited by 360
Simple models for complex nonequilibrium fluids
KROGER, M. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.014 · Cited by 302
Minimal entropic kinetic models for hydrodynamics
Ansumali, S., Karlin, I. V., & Öttinger, H. C. (2003) · Europhysics Letters (EPL) · doi:10.1209/epl/i2003-00496-6 · Cited by 273
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Metadata
- Authors
- Karlin, I. V., Ferrante, A., & Öttinger, H. C.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1999-07-15
- Volume
- 47
- Issue
- 2
- Pages
- 182-188
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2068530488
- Cited by
- 372
- References
- 1
- FWCI
- 6.64
- Type
- journal article
- Language
- en
- Open access
- bronze
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