Please use this identifier to cite or link to this item: https://doi.org/10.1023/A:1014579125174
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dc.titleA new differential lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids
dc.contributor.authorChew, Y.T.
dc.contributor.authorShu, C.
dc.contributor.authorNiu, X.D.
dc.date.accessioned2014-06-19T05:30:40Z
dc.date.available2014-06-19T05:30:40Z
dc.date.issued2002
dc.identifier.citationChew, Y.T., Shu, C., Niu, X.D. (2002). A new differential lattice Boltzmann equation and its application to simulate incompressible flows on non-uniform grids. Journal of Statistical Physics 107 (1-2) : 329-342. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1014579125174
dc.identifier.issn00224715
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/73057
dc.description.abstractA new differential lattice Boltzmann equation (LBE) is presented in this work, which is derived from the standard LBE by using Taylor series expansion only in spatial direction with truncation to the second-order derivatives. The obtained differential equation is not a wave-like equation. When a uniform grid is used, the new differential LBE can be exactly reduced to the standard LBE. The new differential LBE can be applied to solve irregular problems with the help of coordinate transformation. The present scheme inherits the merits of the standard LBE. The 2-D driven cavity flow is chosen as a test case to validate the present method. Favorable results are obtained and indicate that the present scheme has good prospects in practical applications.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1023/A:1014579125174
dc.sourceScopus
dc.subjectDifferential equation
dc.subjectIncompressible flow
dc.subjectLattice Boltzmann equation
dc.subjectTaylor series expansion
dc.typeConference Paper
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1023/A:1014579125174
dc.description.sourcetitleJournal of Statistical Physics
dc.description.volume107
dc.description.issue1-2
dc.description.page329-342
dc.identifier.isiut000175051500021
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