full
search.png

Search

close.png

Cancel

arrow
Volume 2, Issue 2
Three-Dimensional Lattice Kinetic Scheme and Its Application to Simulate Incompressible Viscous Thermal Flows

Y. Peng, C. Shu & Y. T. Chew

Commun. Comput. Phys., 2 (2007), pp. 239-254.

Published online: 2007-02

Preview Full PDF 3072 30557

Cited by

google scholar semantic scholar
Export citation
  • Abstract

In this paper, the three-dimensional lattice kinetic scheme is presented to simulate incompressible viscous thermal flows. As compared with the standard LBM, the present scheme has the following good features. It can save the computer memory since there is no need to store the density distributions. Like the conventional NS solvers, the implementation of boundary conditions is straightforward since the dependent variables are the macroscopic flow parameters. The easy implementation of boundary conditions is a good property for solving three-dimensional flow problems. The present scheme is validated by simulating the three-dimensional natural convection in an air-filled cubical enclosure, which is heated differentially at two vertical side walls. The obtained numerical results compare very well with available data in the literature.

  • Keywords

Lattice kinetic scheme, lattice Boltzmann method, three-dimensional, incompressible flow, natural convection, thermal flow.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-2-239, author = {Y. Peng, C. Shu and Y. T. Chew}, title = {Three-Dimensional Lattice Kinetic Scheme and Its Application to Simulate Incompressible Viscous Thermal Flows}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {2}, pages = {239--254}, abstract = {

In this paper, the three-dimensional lattice kinetic scheme is presented to simulate incompressible viscous thermal flows. As compared with the standard LBM, the present scheme has the following good features. It can save the computer memory since there is no need to store the density distributions. Like the conventional NS solvers, the implementation of boundary conditions is straightforward since the dependent variables are the macroscopic flow parameters. The easy implementation of boundary conditions is a good property for solving three-dimensional flow problems. The present scheme is validated by simulating the three-dimensional natural convection in an air-filled cubical enclosure, which is heated differentially at two vertical side walls. The obtained numerical results compare very well with available data in the literature.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7904.html} }
TY - JOUR T1 - Three-Dimensional Lattice Kinetic Scheme and Its Application to Simulate Incompressible Viscous Thermal Flows AU - Y. Peng, C. Shu & Y. T. Chew JO - Communications in Computational Physics VL - 2 SP - 239 EP - 254 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7904.html KW - Lattice kinetic scheme, lattice Boltzmann method, three-dimensional, incompressible flow, natural convection, thermal flow. AB -

In this paper, the three-dimensional lattice kinetic scheme is presented to simulate incompressible viscous thermal flows. As compared with the standard LBM, the present scheme has the following good features. It can save the computer memory since there is no need to store the density distributions. Like the conventional NS solvers, the implementation of boundary conditions is straightforward since the dependent variables are the macroscopic flow parameters. The easy implementation of boundary conditions is a good property for solving three-dimensional flow problems. The present scheme is validated by simulating the three-dimensional natural convection in an air-filled cubical enclosure, which is heated differentially at two vertical side walls. The obtained numerical results compare very well with available data in the literature.

Y. Peng, C. Shu and Y. T. Chew. (2007). Three-Dimensional Lattice Kinetic Scheme and Its Application to Simulate Incompressible Viscous Thermal Flows. Communications in Computational Physics. 2 (2). 239-254. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard