Multiple solutions for separated flows at high Reynolds numbers - A cusp catastrophe
Abstract
The laminar incompressible 2D and steady flow in a geometry consisting of two separated plates with rounded steps is investigated. Two stable solutions are found with discontinuous changes of the solution surface. These changes occur at variable step heights. A hysteresis loop occurs, and three characteristics typical of a cusp catastrophe are found. It is concluded that the solution surface of the Navier-Stokes equations can be described as a cusp catastrophe for this kind of flow.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- 1992
- Bibcode:
- 1992GMMWJ..72..346S
- Keywords:
-
- High Reynolds Number;
- Incompressible Flow;
- Laminar Flow;
- Navier-Stokes Equation;
- Separated Flow;
- Two Dimensional Flow;
- Flow Geometry;
- Hysteresis;
- Steady Flow;
- Fluid Mechanics and Heat Transfer