Development of WENO Finite Difference Lattice Boltzmann Method for Simulation of 2D Incompressible Laminar and Turbulent Flows

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Saadat, Mohammad Hossein | 2015

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 47315 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Hejranfar, Kazem
Abstract:
In the present study, the numerical simulation of incompressible laminar and turbulent flows using a high-order finite difference lattice Boltzmann method is presented. To handle curved geometries with non uniform grids, the incompressible form of lattice Boltzmann equation is transformed into the generalized curvilinear coordinates and the spatial derivatives of the resulting equation are discretized using the fifth-order WENO scheme. The advantage of using the WENO-LBM developed is that it needs less number of grid points and remains stable even at high Reynolds number flows. For the temporal term, the fourth-order explicit Rung-Kutta scheme is adopted for laminar flow calculations and the first-order Implicit-Explicit Rung-Kutta scheme is used for turbulrnt flow simulations. The traditional turbulence models including the Spalart-Allmaras and SST k-ω models are applied to the WENO-LBM for the turbulence modeling. The accuracy and performance of the present solution procedure that is the WENO-LBM, are examined by simulating different laminar/turbulent flows for internal/external geometries and the results are compared with the available numerical and experimental results
Keywords:
Lattice Boltzmann Method ; Finite Difference Method ; Turbulent Flow ; Incompressible Flow

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