Semiclassical Multiple Relaxation Time Lattice Boltzmann-Ellipsoidal Statistical Method for Flow Simulation
Date Issued
2014
Date
2014
Author(s)
Chang, Li-Jen
Abstract
A Semiclassical Multiple Relaxation Time Lattice Boltzmann Ellipsoidal Statistical Method based on the Uehling-Uhlenbeck Boltzmann-BGK equation, Ellipsoidal Statistical BGK equation (ES-BGK) and Multiple Relaxation Time Lattice Boltzmann Method (MRT-LBM) is presented. The method is derived by expanding the Semiclassical equilibrium distribution function for Ellipsoidal Statistical method in term of Hermite polynomials, and the relationship between relaxation time and viscosity can be obtained by using Chapman-Enskog expansion. Simulations of the lid driven cavity flows based on D2Q9 lattice model, and Bounce-Back boundary condition are illustrated under Bose-Einstein, Fermi-Dirac and Maxwell-Boltzmann statistics in different Reynolds numbers in the thesis. Based on the result of simulations, a comparison between ES-SRT and ES-MRT is proposed. Also, in order to reduce computing time, this work establishes parallel computations based on OpenMP.
Subjects
多鬆弛時間
D2Q9格子速度模型
橢圓統計BGK方程
半古典格子波茲曼方法
方腔流
平行化運算
Type
thesis
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