The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
An extrapolation method for boundary conditions in lattice Boltzmann method
Abstract
A boundary treatment for curved walls in lattice Boltzmann method is proposed. The distribution function at a wall node who has a link across the physical boundary is decomposed into its equilibrium and nonequilibrium parts. The equilibrium part is then approximated with a fictitious one where the boundary condition is enforced, and the nonequilibrium part is approximated using a first-order extrapolation based on the nonequilibrium part of the distribution on the neighboring fluid node. Numerical results show that the present treatment is of second-order accuracy, and has well-behaved stability characteristics.
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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
On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
Zou, Q., & He, X. (1997) · Physics of Fluids · doi:10.1063/1.869307 · Cited by 2,226
Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation
He, X., & Luo, L.-S. (1997) · Journal of Statistical Physics · doi:10.1023/b:joss.0000015179.12689.e4 · Cited by 1,240
Grid Refinement for Lattice-BGK Models
Filippova, O., & Hänel, D. (1998) · Journal of Computational Physics · doi:10.1006/jcph.1998.6089 · Cited by 686
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
Boundary conditions for lattice Boltzmann simulations
Ziegler, D. P. (1993) · Journal of Statistical Physics · doi:10.1007/bf01049965 · Cited by 431
A consistent hydrodynamic boundary condition for the lattice Boltzmann method
Noble, D. R., Chen, S., Georgiadis, J. G., & Buckius, R. O. (1995) · Physics of Fluids · doi:10.1063/1.868767 · Cited by 358
A Knudsen layer theory for lattice gases
Cornubert, R., d'Humières, D., & Levermore, D. (1991) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(91)90295-k · Cited by 210
Cited by
Numerical Methods for Dispersed Multiphase Flows
Sommerfeld, M. (2017) · Advances in Mathematical Fluid Mechanics · doi:10.1007/978-3-319-60282-0_6 · Cited by 78
Jourabian, M., & Farhadi, M. (2015) · Journal of Mechanical Science and Technology · doi:10.1007/s12206-015-0828-0 · Cited by 50
RetractedGaedtke, M., Hoffmann, T., Reinhardt, V., Thäter, G., Nirschl, H., & Krause, M. J. (2019) · International Journal of Modern Physics C · doi:10.1142/s012918311950013x · Cited by 12
Metadata
- Authors
- Guo, Z., Zheng, C., & Shi, B.
- Venue
- Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 2002-06-01
- Volume
- 14
- Issue
- 6
- Pages
- 2007-2010
- ISSN
- 1070-6631 (ISSN-L)
- 1089-7666
- OpenAlex
- W2069455332
- Cited by
- 836
- References
- 9
- FWCI
- 7.03
- Type
- journal article
- Language
- en
- Open access
- closed
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