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. (A7712551 0202) 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;
 NavierStokes Equation;
 Rotating Cylinders;
 Solid Mechanics;
 Fluid Mechanics and Heat Transfer