Navier-Stokes simulation of boundary-layer transition
Abstract
This report describes the successful efforts to computationally model the receptivity of the laminar boundary layer on a semi-infinite flat plat with an elliptic leading edge by a spatial simulation. The compressible flow is simulated by solving the governing full Navier-Stokes equations in general curvilinear coordinates by a finite difference method. First, the steady basic-state solution is obtained in a transient approach using spatially varying time steps. Then, a small-amplitude acoustic disturbances of the freestream velocity are applied as unsteady boundary conditions, and the governing equations are solved time-accurately to evaluate the spatial and temporal developments of the perturbation leading to instability waves (Tollmien-Schlichting waves) in the boundary layer. The effect of leading type radius on receptivity is determined.
- Publication:
-
Arizona State University Technical Report
- Pub Date:
- May 1990
- Bibcode:
- 1990asu..reptR....R
- Keywords:
-
- Boundary Layer Transition;
- Compressible Flow;
- Finite Difference Theory;
- Laminar Boundary Layer;
- Leading Edges;
- Navier-Stokes Equation;
- Spherical Coordinates;
- Ellipses;
- Free Flow;
- Simulation;
- Spatial Distribution;
- Stability;
- Surges;
- Fluid Mechanics and Heat Transfer