APPLICATIONS OF FINITE ELEMENT METHODS IN FLUID DYNAMICS
The first part of the paper is devoted to a general presentation of the finite element method. A simple example is presented, the resolution of which illustrates the successive steps common to all finite element methods and thus demonstrate the problems of functional analysis and the numerical techniques to be used. This example is then generalized using elements of functional analysis necessary for a rigorous formulation. In the second part, the method of singularities is briefly outlined, because of its application to potential flows. The linear and nonlinear case of Navier-Stokes equations for viscous flows is then treated separately.
- Prepared for AGARD Meeting, Brussels, Belgium, February 17-22, 1975.
Advisory Group for Aeronautical Res & Dev-NATO64 rue de Varenne
Paris VII, France
- Bellevaux, C
- Maille, M
- Publication Date: 1975-2
- Features: References;
- Pagination: 28 p.
- AGARD Lecture Series
- Issue Number: 73
- Publisher: Advisory Group for Aeronautical Res & Dev-NATO
- TRT Terms: Finite element method; Fluid dynamics; Potential flow; Viscous flow
- Subject Areas: Design; Marine Transportation;
- Accession Number: 00129875
- Record Type: Publication
- Source Agency: Engineering Index
- Report/Paper Numbers: Pap 7
- Files: TRIS
- Created Date: Mar 10 1976 12:00AM