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

Media Info

• Features: References;
• Pagination: p. 367-386
• Serial:
  • Computer Methods in Applied Mechanics and Engineering
  • Volume: 4
  • Issue Number: 3
  • Publisher: North-Holland Publishing Company

Subject/Index Terms

• TRT Terms: Boundary layer; Boundary layer flow; Finite element method; Three dimensional flow; Turbulence; Turbulent boundary layer
• Subject Areas: Design; Marine Transportation;

Filing Info

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