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Numerical Solution of Incompressible Turbulent Flow by Using High-Order Accurate FDLBM and Applying LES

Poorshayegh, Zahra | 2022

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55744 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In this study, a high-order finite-difference lattice Boltzmann method (FDLBM) is used to simulate the two-dimensional incompressible flows. Here, the incompressible form of the lattice Boltzmann (LB) equation in the two-dimensional generalized curvilinear coordinates is considered and the resulting equation is discretized based on both the third- and fifth-order upwind finite-difference schemes. The time integration of the present flow solver is performed by the fourth-order Runge-Kutta method. Several incompressible laminar flow problems are simulated to examine the accuracy and performance of the developed high-order FDLBM solver. The present results are compared with the existing numerical and experimental ones which exhibit good agreement. Then, the present solution method based on the high-order FDLBM is considered in conjunction with the large eddy simulation (LES) to compute the incompressible turbulent flows. Different filters are applied in the formulation regarding the LES and their performances are examined. The incompressible turbulent flow inside the two-dimensional lid-driven cavity is simulated for different Reynolds numbers and the present results are comparable with the available results. To reduce the computational time of the solution, a GPU-based parallelization is also used. The study indicates that the proposed solution procedure based on the GPU-based high-order upwind FDLBM is accurate and effective for computing the incompressible flows.
  9. Keywords:
  10. Incompressible Flow ; Lattice Boltzmann Method ; Large Eddy Simulation (LES) ; Graphics Procssing Unit (GPU) ; Generalized Curvilinear Coordinates ; Two-Dimensional Generalized Curvilinear Coordinates ; High-Order Upwind Finite-Difference Scheme

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