Please use this identifier to cite or link to this item:
|Title:||Taylor-series expansion and least-squares-based lattice Boltzmann method: Two-dimensional formulation and its applications|
|Authors:||Shu, C. |
|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|
|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.|
|Source Title:||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 12, 2018
WEB OF SCIENCETM
checked on Oct 3, 2018
checked on Jul 27, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.