Development of Semiclassical Lattice Boltzmann Method with Shakhov Model for Flow Simulation
Date Issued
2015
Date
2015
Author(s)
Huang, Wun-Yu
Abstract
A Semiclassical Lattice Boltzmann Method with Shakhov Model based on Shakhov Model Lattice Boltzmann equations and Semiclassical Lattice Boltzmann equations is presented. In order to take the Prandtl number and the quantum effect into consideration for approximate exact solution. The equilibrium distribution function is expanded by the Semiclassical Shakhov Model in term of Hermite polynomials, and the relationship between relaxation time and viscosity is obtained by using Chapman-Enskog expansion. Simulation of the lid driven cavity flows based on D2Q9 lattice model and Bounce-Back boundary condition are studied under Bose-Einstein, Fermi-Dirac and Maxwell-Boltzmann statistics with different Parndtl number and Reynolds numbers in the thesis. Based on the result of simulations, a comparison between Semiclassical Lattice Boltzmann Method with Shakhov Model and Semiclassical Lattice Boltzmann Method is made.
Subjects
Lattice Boltzmann Method
Semiclassical Lattice Boltzmann Method with Shakhov Model
Semiclassical Lattice Boltzmann Method
Boltzmann BGK Equation
Shakhov Model
D2Q9 Lattice Model
Lid Driven Cavity Flows
Type
thesis
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