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A consistent hydrodynamic boundary condition for the lattice Boltzmann method
Abstract
A hydrodynamic boundary condition is developed to replace the heuristic bounce-back boundary condition used in the majority of lattice Boltzmann simulations. This boundary condition is applied to the two-dimensional, steady flow of an incompressible fluid between two parallel plates. Poiseuille flow with stationary plates, and a constant pressure gradient is simulated to machine accuracy over the full range of relaxation times and pressure gradients. A second problem involves a moving upper plate and the injection of fluid normal to the plates. The bounce-back boundary condition is shown to be an inferior approach for simulating stationary walls, because it actually mimics boundaries that move with a speed that depends on the relaxation time. When using accurate hydrodynamic boundary conditions, the lattice Boltzmann method is shown to exhibit second-order accuracy.
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Citations
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
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
An extrapolation method for boundary conditions in lattice Boltzmann method
Guo, Z., Zheng, C., & Shi, B. (2002) · Physics of Fluids · doi:10.1063/1.1471914 · Cited by 836
Metadata
- Authors
- Noble, D. R., Chen, S., Georgiadis, J. G., & Buckius, R. O.
- Venue
- Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 1995-01-01
- Volume
- 7
- Issue
- 1
- Pages
- 203-209
- ISSN
- 1070-6631 (ISSN-L)
- 1089-7666
- OpenAlex
- W1973455510
- Cited by
- 358
- References
- 1
- FWCI
- 16.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Noble, D. R., Chen, S., Georgiadis, J. G., & Buckius, R. O. (1995). A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Physics of Fluids. https://doi.org/10.1063/1.868767
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