The finite element method applied to fluid mechanics
Abstract
The paper reviews the basic properties of the main types of elements used in finite element computations, and then presents some examples of the use of the finite element technique in basic fluid dynamics problems. The simplest type of problem is one with positive definite quadratic forms, illustrated by plane incompressible flow in a duct. A simple membrane analogy and a more complex plate analogy from solid mechanics are developed for an incompressible potential flow problem and the problem of Stokes flow.
- Publication:
-
In: Computational methods and problems in aeronautical fluid dynamics. (A77-12551 02-02) London and New York
- Pub Date:
- 1976
- Bibcode:
- 1976cmpa.book..158A
- Keywords:
-
- Ducted Flow;
- Finite Element Method;
- Incompressible Flow;
- Potential Flow;
- Stokes Flow;
- Two Dimensional Flow;
- Angle Of Attack;
- Flow Stability;
- Fluid Dynamics;
- Laminar Flow;
- Navier-Stokes Equation;
- Rotating Cylinders;
- Solid Mechanics;
- Fluid Mechanics and Heat Transfer