Finite element methods for inviscid and viscous flow problems
Abstract
A survey of the basic features of the finite element method is made; their applications to fluid dynamics are discussed. Compressible flow is discussed for subsonic velocities only. Possible finite element procedures are considered for incompressible viscous flow. In the special case of creeping flow, alternative extremum principles are available, as in the case of potential flow, and simplify the derivation of finite elements. The various methods are listed together with their essential boundary conditions and their natural (weak) boundary conditions. Graphical examples are shown.
- Publication:
-
In Von Karman Inst. for Fluid Dyn. Computational Fluid Dyn
- Pub Date:
- 1978
- Bibcode:
- 1978cofd....1.....S
- Keywords:
-
- Finite Element Method;
- Inviscid Flow;
- Numerical Analysis;
- Viscous Flow;
- Aerodynamic Configurations;
- Fluid Boundaries;
- Potential Flow;
- Ritz Averaging Method;
- Subsonic Flow;
- Fluid Mechanics and Heat Transfer