The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Kinetic boundary conditions in the lattice Boltzmann method
Open accessAbstract
Derivation of the lattice Boltzmann method from the continuous kinetic theory [X. He and L. S. Luo, Phys. Rev. E 55, R6333 (1997); X. Shan and X. He, Phys. Rev. Lett. 80, 65 (1998)] is extended in order to obtain boundary conditions for the method. For the model of a diffusively reflecting moving solid wall, the boundary condition for the discrete set of velocities is derived, and the error of the discretization is estimated. Numerical results are presented which demonstrate convergence to the hydrodynamic limit. In particular, the Knudsen layer in the Kramers' problem is reproduced correctly for small Knudsen numbers.
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Cites
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
Chen, S., & Doolen, G. D. (1998) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.30.1.329 · Cited by 7,314
Lattice BGK Models for Navier-Stokes Equation
Qian, Y. H., D'Humières, D., & Lallemand, P. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/17/6/001 · Cited by 5,303
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
On the kinetic theory of rarefied gases
Grad, H. (1949) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160020403 · Cited by 2,667
Ladd, A. J. C. (1994) · Journal of Fluid Mechanics · doi:10.1017/s0022112094001771 · Cited by 2,461
Momentum transfer of a Boltzmann-lattice fluid with boundaries
Bouzidi, M., Firdaouss, M., & Lallemand, P. (2001) · Physics of Fluids · doi:10.1063/1.1399290 · Cited by 1,251
Moment closure hierarchies for kinetic theories
Levermore, C. D. (1996) · Journal of Statistical Physics · doi:10.1007/bf02179552 · Cited by 919
A priori derivation of the lattice Boltzmann equation
He, X., & Luo, L.-S. (1997) · Physical Review E · doi:10.1103/physreve.55.r6333 · Cited by 816
An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method
Mei, R., Luo, L.-S., & Shyy, W. (1999) · Journal of Computational Physics · doi:10.1006/jcph.1999.6334 · Cited by 591
On boundary conditions in lattice Boltzmann methods
Chen, S., Martínez, D., & Mei, R. (1996) · Physics of Fluids · doi:10.1063/1.869035 · Cited by 498
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., & V. Karlin, I.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-08-28
- Volume
- 66
- Issue
- 2
- Pages
- 026311-026311
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W1984384530
- Cited by
- 360
- References
- 16
- FWCI
- 8.69
- Type
- journal article
- Language
- en
- Open access
- green
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