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Direct Numerical Simulation of External In-compressible Flow Using High-order Accurate Finite-difference Lattice Boltzmann Method

Aboutalebi, Mohammad | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55369 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the present study, a high-order finite-difference lattice Boltzmann solver is applied for simulating steady and unsteady three-dimensional incompressible flows. To achieve an accurate and robust flow solver, the incompressible form of the lattice Boltzmann equation in the three-dimensional generalized curvilinear coordinates is discretized spatially based on the fifth-order weighted essentially non-oscillatory (WENO) finite-difference scheme. To ensure the stability and temporal accuracy of the flow solver, the fourth-order Runge-Kutta method is used for the time integration. To examine the accuracy and performance of the flow solver, different three-dimensional incompressible flow problems are studied that are the Beltrami flow, the cavity flow, the flow in the curved ducts of rectangular cross-sections and the flow over a sphere for different flow conditions. A GPU-based parallelization is used for reducing the computational cost in direct numerical simulations (DNSs) of the three-dimensional external incompressible flows with moderate Reynolds numbers. To this aim, the three-dimensional incompressible flow over a finite-span cylinder for different flow conditions is simulated by applying the proposed solution methodology. It is demonstrated that the present solution procedure based on the GPU-based high-order WENO finite-difference lattice Boltzmann method (WENOLBM) in the three-dimensional generalized curvilinear coordinates can be used for accurately and effectively computing the practical incompressible flow problems with acceptable computational cost
  9. Keywords:
  10. Lattice Boltzmann Method ; Incompressible Flow ; Direct Numerical Simulation (DNS) ; Weighted Essentially Non-Oscillatory Schemes ; Generalized Curvilinear Coordinates ; Graphics Procssing Unit (GPU) ; Three-Dimensional Generalized Curvilinear Coordinates ; Finite Difference Lattice Boltzmann Method

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