Mohamed S. Ebeida

PhD Candidate

Dept. of Mechanical and Aeronautical Engineering

University of California - Davis

Dept. of Mechanical and Aeronautical Engineering

University of California - Davis

Research: Simulations

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Simulation Projects

** Simulation of unsteady flows using Galerkin finite element and dynamic remeshing:
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(all simulations are done using the primitive variables u, v, and p)

- Incompressible flow over a NACA 0012 airfoil at Re 800 and alpha = 20:

Vorticity Contours + Adaptive grid

Adaptive grid - modified every time step

- Incompressible flow over two vertical cylinders at Re = 200

Vorticity Contours + Adaptive grid

- A turbulent flow over a flat plate was simulated using Galerkin Finite Element, k-omega model and the mesh generation algorithm mentioned above. The following results were obtained using only 12995 grid points, Re = 10
^{5. }

**unstructured grid used in the simualtion - A zoom in near the leading edge of the flat plate**

- A linear convection diffusion pde was discretized using GFEM and unstructured grid. The resulting non-Hermitian system was then solved using fast iterative solvers such as MG, GMRES and TFQMR. SLOR was used for smoothing the error in MG. It was also used as a preconditioner in GMRES and TFQMR. The problem domain, one of the utilized meshes, solution at various Re as well as the convergence rates of the differnet solvers are presented in the following figures:

Problem Domain - Solutions at Re = 10^{2}, 10^{3}, 10^{4}

MG Convergence

TFQMR Convergence