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
Simulation Projects
Simulation of unsteady flows using Galerkin finite element and dynamic remeshing:
(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 = 105.
unstructured grid used in the simualtion - A zoom in near the leading edge of the flat plate
Solution of a convection-diffusion partial differential equation using Galerkin finite elements and fast iterative solvers:
- 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 = 102, 103, 104
MG Convergence
GMRES Convergence
TFQMR Convergence
visitors since August 30th, 2009