Compressible potential flows by the finite element method
Abstract
Two iterative variational integrals for subsonic potential flow are derived for the stream-function and velocity potential formulations of the finite element method. The procedure is based on a linearization of the governing nonlinear equations with respect to the flow direction from the previous iteration. It is found that a finite element solution, using a cylindrical coordinates version of the constant derivative triangle, gives good results for the flow over a circular cylinder. Results for the flow over a symmetrical airfoil are also presented.
- Publication:
-
International Symposium on Finite Element Methods in Flow Problems
- Pub Date:
- 1976
- Bibcode:
- 1976femf.symp...85H
- Keywords:
-
- Compressible Flow;
- Finite Element Method;
- Potential Flow;
- Subsonic Flow;
- Variational Principles;
- Airfoils;
- Circular Cylinders;
- Flow Charts;
- Iterative Solution;
- Linearization;
- Symmetry;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer