Abstract
Based on the shooting method, a class of finite elements is formulated for the numerical analysis of steady state viscous boundary layer flow problems. The technique is used to solve the Blasius similarity relation for the flat plate. The equation is subdivided into a system of first order ordinary (non-linear) differential equations and discretized using linear elements. The resulting non-linear algebraic equations are solved iteratively by the non-linear Gauss- Siedel method. The accuracy of the finite element technique described herein is compared to the first order finite difference approximation of the Blasius relation. The finite element formulation results in a weaker effect of the step size on the converged solution than the difference scheme. The results are in good agreement with the other numerical solutions of the boundary layer equations.
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