2009.03.16

2-31A, Eigineering 2nd Bld, Hongo Campus

Prof. Subhash C. Mishra

Department of Mechanical Engineering
[Ex-Dean of Academic Affairs]
IIT Guwahati, Guwahati - 781039, India

Title：Lattice Boltzmann Method Applied to the Solution of Energy Equations of Heat Transfer Problems Involving Thermal Radiation

Schedule：14:00 ~ 15:30 Monday 16th March, 2009

Place：2-31A, Engineering 2nd Bld, Hongo Campus

Abstract：In the recent past, the lattice Boltzmann method (LBM) has received much attention in science and engineering as a potential computational tool for solving a large class of problems. Among many other types of problems, the LBM has been successfully used to simulate a wide range of fluid flow
and heat transfer problems. Owing to its mesoscopic origin, the LBM is emerging as a versatile computational method that has many advantages. In comparison to the conventional CFD solvers like the finite difference method, the finite element method and the finite volume method, the advantages of the LBM comprises of a clear physical meaning, a simple calculation procedure, simple and more efficient implementation for parallel
computation, straightforward and efficient handling of complex geometries and boundary conditions, high computational performance with regard to stability and precision, etc.

This lecture will focus on implementation of the LBM to solve energy equations of heat transfer problems involving thermal radiation in which radiative information can be computed using any of the numerical radiative transfer methods like the discrete transfer method, the discrete ordinate method and the finite volume method. Some example problems dealing with
conduction, convection and radiation heat transfer will be taken up to show the workability of the LBM. Cases of implementation of the LBM to solidification and natural convection problems will be taken up. Implementation of the LBM on non-uniform lattices and for non-Fourier conduction cases will also be discussed.