Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0129183106009059
Title: Thermal curved boundary treatment for the thermal lattice Boltzmann equation
Authors: Huang, H.
Lee, T.S. 
Shu, C. 
Keywords: Curved boundary
Lattice Boltzmann
Thermal
Issue Date: May-2006
Source: Huang, H., Lee, T.S., Shu, C. (2006-05). Thermal curved boundary treatment for the thermal lattice Boltzmann equation. International Journal of Modern Physics C 17 (5) : 631-643. ScholarBank@NUS Repository. https://doi.org/10.1142/S0129183106009059
Abstract: In this paper, a recent curved non-slip wall boundary treatment for isothermal Lattice Boltzmann equation (LBE) [Z. Guo, C. Zheng and B. Shi, Phys. Fluids 14(6) (2002)] is extended to handle the thermal curved wall boundary for a. double-population thermal lattice Boltzmann equation (TLBE). The unknown distribution population at a wall node which is necessary to fulfill streaming step is decomposed into its equilibrium and non-equilibrium parts. The equilibrium part is evaluated according to Dirichlet and Neumann boundary constraints, and the non-equilibrium part is obtained using a first-order extrapolation from fluid lattices. To validate the thermal boundary condition treatment, we carry out numerical simulations of Couette flow between two circular cylinders, the natural convection in a square cavity, and the natural convection in a concentric annulus between an outer square cylinder and an inner circular cylinder. The results agree very well with analytical solution or available data in the literature. Our numerical results also demonstrate that the TLBE together with the present boundary scheme is of second-order accuracy. © World Scientific Publishing Company.
Source Title: International Journal of Modern Physics C
URI: http://scholarbank.nus.edu.sg/handle/10635/61545
ISSN: 01291831
DOI: 10.1142/S0129183106009059
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

23
checked on Dec 6, 2017

WEB OF SCIENCETM
Citations

21
checked on Nov 21, 2017

Page view(s)

18
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.