1968 · 77 citations · 0 references
Natural SciencesMechanical EngineeringPhysicsComputational Fluid DynamicsFluid DynamicsFluid MechanicsBoundary Layer FlowBoundary LayersBoundary-layer TheoryFlow StabilityHydrodynamic StabilityInviscid FlowBoundary Layer StabilityFalkner-skan Boundary LayersHigh-reynolds-number FlowHydrodynamic Stability In Inviscid FlowReynolds NumberSpatial StabilityStability Of Boundary LayersTemporal Stability
Abstract : Solutions for Reynolds numbers up to 100,000 were successfully obtained by the present method for all the cases. This Reynolds number is at least 50 times as large as that which can be handled by the 'purification' scheme devised by Landahl and Kaplan. The method is capable of being extended into the inviscid region and in fact precludes the necessity for performing an inviscid analusis in most practical situations. It is clear that the present method's capability of coping with the numerical difficulties encountered in performing a stability analysis of small disturbances in an inviscid problem may be adapted to deal with compressible flows.