Evaluation of two different types D2QA microscopic velocity models at low rayleigh number heat transfer

TL;DRAbstract

The aim of this thesis is to study the methods of the lattice Boltzmann equations in order to be apply in two types of D2Q4 model in thermal fluid flow problems. LBM has been found to be useful in application involving interfacial dynamics and complex boundaries. These methods utilize the statistical mechanics of simple discrete models to simulate complex physical systems. The theory of lattice Boltzmann method in nine and four velocity model are reviewed. The isothermal and thermal equation have been derived from the Boltzmann equation by descretiziton on both time and phase space. In this isothermal problem, a few simple isotherml flow simulation will be done by using the nine velocity model. The concepts of distribution function are considered beside the theory of Boltzmann equations. Then the derivations of Navier-Stokes equation from the Boltzmann equations are also presented. Some simulation results are performed, to highlight the important features of the isothermal LB model. Th

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