Accession Number : ADA953409

Title :   The Application of the Finite Element Technique to Potential Flow Problems. Part 1

Corporate Author : CALGARY UNIV (ALBERTA) DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : de Vries, G ; Norrie, D H

PDF Url : ADA953409

Report Date : Aug 1969

Pagination or Media Count : 30

Abstract : In this report, the finite element method is applied to field problems governed by Laplace's equation, and in particular, to potential flow in fluid mechanics. The conditions under which the variational method may be used are examined for Dirichlet, Neumann and mixed boundary conditions, and for both singly- and multiply-connected regions. The discretisation of the field, using finite elements of triangular form is developed, and the resulting equations are solved. A computer program based on this analysis has been developed and is fully described in a subsequent report. This program will solve a two-dimensional potential field for simple or mixed boundary conditions and for singly- or multiply-connected regions. It may be used for multiple-body flow fields, such as aerofoil cascades, with boundary constraints such as the Kutta condition.

Descriptors :   *FINITE ELEMENT ANALYSIS, BOUNDARIES, BOUNDARY VALUE PROBLEMS, CANADA, FLOW FIELDS, INCOMPRESSIBLE FLOW, LAPLACE TRANSFORMATION, PARTIAL DIFFERENTIAL EQUATIONS, POTENTIAL FLOW

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE