NavierStokes simulation of boundarylayer transition
Abstract
This report describes the successful efforts to computationally model the receptivity of the laminar boundary layer on a semiinfinite flat plat with an elliptic leading edge by a spatial simulation. The compressible flow is simulated by solving the governing full NavierStokes equations in general curvilinear coordinates by a finite difference method. First, the steady basicstate solution is obtained in a transient approach using spatially varying time steps. Then, a smallamplitude acoustic disturbances of the freestream velocity are applied as unsteady boundary conditions, and the governing equations are solved timeaccurately to evaluate the spatial and temporal developments of the perturbation leading to instability waves (TollmienSchlichting 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;
 NavierStokes Equation;
 Spherical Coordinates;
 Ellipses;
 Free Flow;
 Simulation;
 Spatial Distribution;
 Stability;
 Surges;
 Fluid Mechanics and Heat Transfer