FINITE ELEMENT SOLUTION THEORY FOR THREE-DIMENSIONAL BOUNDARY FLOWS

A finite element algorithm is derived for the numerical solution of a three-dimensional flow field described by a system of initial-valued, elliptic boundary value partial differential equations. The familiar three-dimensional boundary layer equations belong to this description when diffusional processes in only one coordinate direction are important. The finite element algorithm transforms the original description into large order systems of ordinary differential equations written for the dependent variables discretized at node points of an arbitrarily irregular computational lattice. The generalized elliptic boundary condition is piecewise valid for each dependent variable on boundaries that need not explicitly coincide with coordinate surfaces. Solutions for sample problems in laminar and turbulent boundary flows illustrate favorable solution accuracy, convergence, and versatility.

  • Corporate Authors:

    North Holland Publishing Company

    Box 211
    1000 AE Amsterdam,   Netherlands 
  • Authors:
    • Baker, A J
  • Publication Date: 1974-11

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Filing Info

  • Accession Number: 00084538
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: May 19 1975 12:00AM