Numerical viscous-inviscid interaction method for internal separated flows and shock wave-boundary layer interaction
Abstract
A calculation method for internal transonic separated flows, and for shock wave-boundary layer interactions, is presented. It is based on developments in indirect numerical solvers with viscous-inviscid splitting, well conditioned at high Reynolds numbers. The viscous flows are calculated with the defect formulation theory, here simplified with thin layers approximations compatible with an integral method. The direct and semi-inverse strong coupling methods, and the direct and inverse defect integral methods with turbulence models involving 0, 1, or 2 integral transport equations, which were previously suggested for airfoils flows, were generalized to internal flows for which the inviscid field requires the use of an Euler solver. Results are obtained for turbulent flows in transonic shocked channels with backpressure, involving multiple shock wave-boundary layer interactions, and incipient or extensive separations. The method is also applied to supersonic shock wave-boundary layer interactions, for compression ramps or shock wave-reflexions. First results obtained for computing viscous flows in cascades are presented.
- Publication:
-
In AGARD Transonic and Supersonic Phenomena in Turbomachines 20 p (SEE N87-21927 15-07
- Pub Date:
- March 1987
- Bibcode:
- 1987tspt.agar.....L
- Keywords:
-
- Airfoils;
- Boundary Layers;
- Computational Fluid Dynamics;
- Numerical Analysis;
- Separated Flow;
- Shock Wave Interaction;
- Viscous Flow;
- Cascade Flow;
- Integral Equations;
- Mathematical Models;
- Reynolds Number;
- Transonic Flow;
- Turbulence Models;
- Turbulent Flow;
- Fluid Mechanics and Heat Transfer