Lattice Boltzmann simulation of natural convection and fluid flow around a heated cylinder in an
enclosed square
Abstract
In this paper, simulations of two-dimensional natural convection and fluid flow around a heated cylinder
in an enclosed square are performed. The temperature of the square wall and of the cylinder is maintained
constant and uniform with the cylinder temperature is greater than that of the square. An incompressible
lattice Boltzmann method is brought as numerical tool due to its flexibility in the treatment of boundary
conditions. The basic idea in lattice Boltzmann method is to solve the velocity field and the temperature
fields using two different distribution functions. It is observed that the heat transfer mechanism is
significantly depends on the value of Rayleigh numbers.