Journal article
Lattices for the lattice Boltzmann method.
- Chikatamarla SS LAV, Institute of Energy Technology, ETH Zurich, 8092 Zurich, Switzerland. shyam_css@yahoo.com
- Karlin IV
- 2009-06-13
Published in:
- Physical review. E, Statistical, nonlinear, and soft matter physics. - 2009
English
A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the construction of lattice Boltzmann models as an approximation to the Boltzmann equation is presented. New lattices are found in all three dimensions and are classified according to their accuracy (degree of approximation of the Boltzmann equation). The numerical stability of these lattices is argued based on the entropy principle. The efficiency and accuracy of many new lattices are demonstrated via simulations in all three dimensions.
- Language
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- English
- Open access status
- closed
- Identifiers
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- DOI 10.1103/PhysRevE.79.046701
- PMID 19518374
- Persistent URL
- https://sonar.ch/global/documents/111781
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