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Discrete lattice effects on the forcing term in the lattice Boltzmann method
Abstract
We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined.
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Citations
Cited by
OpenLB—Open source lattice Boltzmann code
Krause, M. J., Kummerländer, A., Avis, S. J., Kusumaatmaja, H., Dapelo, D., Klemens, F., Gaedtke, M., Hafen, N., Mink, A., Trunk, R., et al. (2021) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2020.04.033 · Cited by 203
Ren, Q., Meng, F., & Guo, P. (2018) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2018.01.046 · Cited by 149
PCM charging process accelerated with combination of optimized triangle fins and nanoparticles
Ren, Q., Xu, H., & Luo, Z. (2019) · International Journal of Thermal Sciences · doi:10.1016/j.ijthermalsci.2019.03.005 · Cited by 84
Numerical evaluation of thermal comfort using a large eddy lattice Boltzmann method
Siodlaczek, M., Gaedtke, M., Simonis, S., Schweiker, M., Homma, N., & Krause, M. J. (2021) · Building and Environment · doi:10.1016/j.buildenv.2021.107618 · Cited by 30
Multiscale Simulation with a Two-Way Coupled Lattice Boltzmann Method and Discrete Element Method
Maier, M.-L., Henn, T., Thaeter, G., Nirschl, H., & Krause, M. J. (2017) · Chemical Engineering & Technology · doi:10.1002/ceat.201600547 · Cited by 15
Metadata
- Authors
- Guo, Z., Zheng, C., & Shi, B.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2002-04-10
- Volume
- 65
- Issue
- 4
- Pages
- 046308-046308
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2077508082
- Cited by
- 2,410
- References
- 0
- FWCI
- 8.28
- Type
- journal article
- Language
- en
- Open access
- closed
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- Guo, Z., Zheng, C., & Shi, B. (2002). Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E. https://doi.org/10.1103/physreve.65.046308
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