Development of Chebyshev Collocation Spectral Lattice Boltzmann Method for Solution of LowSpeed Flows, M.Sc. Thesis Sharif University of Technology ; Hejranfar, Kazem (Supervisor)
Abstract
In this study, a Chebyshev collocation spectral lattice Boltzmann method (CCSLBM) is developed and assessed for the computation of low speed flows. Both steady and unsteady flows are considered here. The discrete Boltzmann equation (DBE) with the Bhatnagar-Gross-Krook (BGK) approximation based on the pressure distribution function is considered and the space discretization is performed by the Chebyshev collocation spectral method to achieve a highly accurate flow solver. To provide accurate unsteady solutions, the time integration of the temporal term in the LB equation is made by the fourth-order Runge-Kuta scheme. To achieve numerical stability and accuracy, the physical boundary...
Cataloging briefDevelopment of Chebyshev Collocation Spectral Lattice Boltzmann Method for Solution of LowSpeed Flows, M.Sc. Thesis Sharif University of Technology ; Hejranfar, Kazem (Supervisor)
Abstract
In this study, a Chebyshev collocation spectral lattice Boltzmann method (CCSLBM) is developed and assessed for the computation of low speed flows. Both steady and unsteady flows are considered here. The discrete Boltzmann equation (DBE) with the Bhatnagar-Gross-Krook (BGK) approximation based on the pressure distribution function is considered and the space discretization is performed by the Chebyshev collocation spectral method to achieve a highly accurate flow solver. To provide accurate unsteady solutions, the time integration of the temporal term in the LB equation is made by the fourth-order Runge-Kuta scheme. To achieve numerical stability and accuracy, the physical boundary...
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