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    Simulation of Compressible Rarefied Gas Flow using High-Order WENO Finite-difference Lattice Boltzmann Method

    , M.Sc. Thesis Sharif University of Technology Zamani Ashtiani, Shaghayegh (Author) ; Hejranfar, Kazem (Supervisor)
    The goal of the present study is to simulate the compressible rarefied gas flow by using a high-order finite-difference lattice Boltzmann method. Here, a weighted essentially non-oscillatory lattice Boltzmann method (WENO-LBM) is applied for the solution of the compressible form of the LB equation with the Kataoka-Tsutahara model. The solution procedure is based on the discretization of the convection terms of the LB equation using the fifth-order finite-difference WENO scheme and the temporal term using the third-order explicit total variation diminishing Runge-Kutta scheme for both the continuum and rarefied gas flows. The treatment of implementing the no-slip and slip boundary conditions... 

    Development of Compact Finite Difference Boltzmann Method for Simulating Compressible Rarefied Gas Flow

    , M.Sc. Thesis Sharif University of Technology Alemi Arani, Ali (Author) ; Hejranfar, Kazem (Supervisor) ; Fouladi, Nematollah (Co-Supervisor)
    In this work, a high-order accurate gas kinetic scheme based on the compact finite-difference Boltzmann method (CFDBM) is developed and applied for simulating the compressible rarefied gas flows. Here, the Shakhov model of the Boltzmann equation is considered and the spatial derivative term in the resulting equation is discretized by using the fourth-order compact finite-difference method and the time integration is performed by using the third-order TVD Runge-Kutta method. A filtering procedure with three discontinuity-detecting sensors is applied and examined for the stabilization of the solution method especially for the problems involving the discontinuity regions such as the shock. The...