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

  Radarweg 29
  Amsterdam,   Netherlands  1043 NX
• Authors:
  • Tzimopoulos, C
• Publication Date: 1976-5

Language

• French

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 1-18
• Serial:
  • Journal of Hydrology
  • Volume: 30
  • Issue Number: 1/2

Subject/Index Terms

• TRT Terms: Boussinesq equation; Computer programs; Differential equations; Finite element method; Free surface; Mathematical models; Nonlinear equations; Porous materials; Surface drainage
• Old TRIS Terms: Boussinesq formula; Galerkin's method; Highway drainage
• Subject Areas: Highways; Hydraulics and Hydrology;

Filing Info

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