๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Numerical implementation of thermal boundary conditions in the lattice Boltzmann method

โœ Scribed by Long-Sheng Kuo; Ping-Hei Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
290 KB
Volume
52
Category
Article
ISSN
0017-9310

No coin nor oath required. For personal study only.

โœฆ Synopsis

This work proposed a non-equilibrium mirror-reflection scheme to implement thermal boundary conditions for the two-distribution lattice Boltzmann method (TLBM). The study showed that the most popular non-equilibrium bounce-back scheme would become inadequate when the predictions of temperature gradient were examined in TLBM. This work used the native method in TLBM to verify temperature gradient instead of the conventional finite difference approximation. The simulation results demonstrated that the mirror-reflection scheme is a scheme of second-order accuracy and can predict the temperature and temperature gradient correctly. With help of calculating the heat flux on the boundary, this work also suggested a more efficient and realistic way to determine the Nusselt number in Rayleigh-Bรฉnard convection problems.

๐Ÿ“œ SIMILAR VOLUMES

An Accurate Curved Boundary Treatment in
An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method
โœ Renwei Mei; Li-Shi Luo; Wei Shyy ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

The lattice Boltzmann equation (LBE) is an alternative kinetic method capable of solving hydrodynamics for various systems. Major advantages of the method are due to the fact that the solution for the particle distribution functions is explicit, easy to implement, and natural to parallelize. Because

AN EVALUATION OF THE BOUNCE-BACK BOUNDAR
AN EVALUATION OF THE BOUNCE-BACK BOUNDARY CONDITION FOR LATTICE BOLTZMANN SIMULATIONS
โœ Martha A. Gallivan; David R. Noble; John G. Georgiadis; Richard O. Buckius ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 321 KB ๐Ÿ‘ 3 views

The bounce-back boundary condition for lattice Boltzmann simulations is evaluated for ยฏow about an inยฎnite periodic array of cylinders. The solution is compared with results from a more accurate boundary condition formulation for the lattice Boltemann method and with ยฎnite difference solutions. The