Please use this identifier to cite or link to this item:
https://doi.org/10.1103/PhysRevE.65.036708
DC Field | Value | |
---|---|---|
dc.title | Taylor-series expansion and least-squares-based lattice Boltzmann method: Two-dimensional formulation and its applications | |
dc.contributor.author | Shu, C. | |
dc.contributor.author | Niu, X.D. | |
dc.contributor.author | Chew, Y.T. | |
dc.date.accessioned | 2014-06-17T06:35:26Z | |
dc.date.available | 2014-06-17T06:35:26Z | |
dc.date.issued | 2002-03 | |
dc.identifier.citation | Shu, C., Niu, X.D., Chew, Y.T. (2002-03). Taylor-series expansion and least-squares-based lattice Boltzmann method: Two-dimensional formulation and its applications. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 65 (3) : 036708/1-036708/13. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.65.036708 | |
dc.identifier.issn | 15393755 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/61463 | |
dc.description.abstract | An explicit lattice Boltzmann method (LBM) is developed in this paper to simulate flows in an arbitrary geometry. The method is based on the standard LBM, Taylor-series expansion, and the least-squares approach. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. Theoretical analysis for the one-dimensional (ID) case showed that the version of the LBM could recover the Navier-Stokes equations with second order accuracy. A generalized hydrodynamic analysis is conducted to study the wave-number dependence of shear viscosity for the method. Numerical simulations of the 2D lid-driven flow in a square cavity and a polar cavity flow as well as the "no flow" simulation in a square cavity have been carried out. Favorable results were obtained and compared well with available data in the literature, indicating that the present method has good prospects in practical applications. ©2002 The American Physical Society. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.65.036708 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MECHANICAL ENGINEERING | |
dc.description.doi | 10.1103/PhysRevE.65.036708 | |
dc.description.sourcetitle | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
dc.description.volume | 65 | |
dc.description.issue | 3 | |
dc.description.page | 036708/1-036708/13 | |
dc.description.coden | PLEEE | |
dc.identifier.isiut | 000174549000071 | |
Appears in Collections: | Staff Publications |
Show simple item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.