الفهرس 
introdctionOnly 14 pages are availabe for public view
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Abstract
The aim objective of this thesis is to study the effect of corner angles on the stream line function of ideal flow in L-shaped domain. A parametric investigation for the effect of different cornerangles will be addressed. The elliptic partial differential equation for this two dimensional ideal flow on the domain with corners, subject to mixed boundary conditions, will be modelled, using the finite element method. since the singularities of the corners pollute the occuracy and consequently the convergence rate of finite element procedure, the adaptive h-strategy developed by Babuska, Oden and other, will be employed. The adopted criterion of convergence is based on the difference Euclidean norm of successive solutions. The adoption of the adaptive h-strategy depends on the conclusion of Babuska (1970), who stated that proper refinement of the elements around the corners on the boundary, leads to the rate of convergence which is the same as it would be on domain with smooth boundary. In chapter(1), the different methods of singularity treatment, are discussed. In chapter (2), The treatment of the singularity in fluid mechanics, using finite element method, and its convergence requirements are addressed. Also, an error analysis is developed, and an enhanced error estimate is derived. In chapter (3), the adaptive h-finite element method strategy is applied to solve the singular ideal flow problems. This strategy is applied to the ideal flow problem over a wave-shaped wall to illustrate the adapyive strategy0 Chapter (4), illustrates a parametric study for solving Laplace equation on region containing corner singularity.