SOLUTION OF THE BOUSSINESQ EQUATION BY A FINITE-ELEMENT METHOD

SOLUTION DE L'EQUATION DE BOUSSINESQ PAR UNE METHODE DES ELEMENTS FINIS

A mathematical model is presented which enables the solution of various problems of free water surface flow in porous media. Galerkin's method was used for the finite-element formulation. The studied physical problem was that of a free surface flow towards a ditch or a river. The flow in that case is described by the Boussinesq equation, which is a partial differential equation of parabolic type. The application of Galerkin's method leads to a system of non-linear equations, which are solved by using the Guassian algorithm. The results have been compared with solutions published elsewhere. For the special case solved by Boussinesq in 1904, the exact solution has been compared with its finite-difference approximations. The former require slightly less computer time. /Author/

  • Corporate Authors:

    Elsevier Science

    Radarweg 29, P.O. Box 211
    1043NX AE Amsterdam,   Netherlands 
  • Authors:
    • Tzimopoulos, C
  • Publication Date: 1976-5

Language

  • French

Media Info

  • Features: Figures; References; Tables;
  • Pagination: p. 1-18
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00158178
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Sep 28 1977 12:00AM