Three-Dimensional Flow over Wings with Leading-Edge Vortex Separation

Recent advances in a panel method for the solution of three-dimensi onal flow about wing and wing-body combinations with leading-edge vortex separation are presented. These advances were achieved as par't of an ultimately successful assault on two shortcomings of the method, namely convergence failures in seemingly random cases, and overprediction of lift coefficient for high aspect-ratio wings. Advances include the implementation of improved panel numerics for the purpose of eliminating the highly nonlinear effects of ring vortices around doublet panel edges, and the development of a least-squares procedure for damping vortex sheet geometry update instabilities. A variety of cases generated by the computer program implementing the method are presented. These cases are of two types. The first type consists of numerical studies, which verify the underlying mathematical assumptions of the method and moreover show that the results are strongly invariant with respect to such user dependent input as wing panel layout, initial sheet shape, sheet rollup, etc. The second type consists of cases run for the purpose of comparing computed results with experimental data, and these comparisons verify the underlying physical assumptions made by the method. a A & b B c CD Q

[1]  W. Wentz Effects of leading-edge camber on low-speed characteristics of slender delta wings , 1972 .

[2]  H. W. M. Hoeijmakers,et al.  A higher order panel method applied to Vortex sheet roll-up , 1981 .

[3]  Paul E. Rubbert,et al.  Boundary-Value Problem of Configurations with Compressible Free Vortex Flow , 1977 .

[4]  F. Edward Ehlers,et al.  A higher order panel method for general analysis and design applications in subsonic flow , 1976 .

[5]  E. Polhamus Predictions of vortex-lift characteristics based on a leading-edge suction analogy. , 1971 .

[6]  E. C. Polhamus,et al.  Application of the leading-edge-suction analogy of vortex lift to the drag due to lift of sharp-edge delta wings , 1968 .

[7]  Ali H. Nayfeh,et al.  Nonlinear prediction of the aerodynamic loads on lifting surfaces , 1976 .

[8]  A. H. Nayfeh,et al.  Three dimensional steady and unsteady asymmetric flow past wings of arbitrary planforms , 1977 .

[9]  J. E. Lamar,et al.  Extension of leading-edge-suction analogy to wings with separated flow around the side edges at subsonic speeds , 1974 .

[10]  J. Kuhlman Analytical studies of separated vortex flow on highly swept wings , 1978 .

[11]  O. D. Kellogg Foundations of potential theory , 1934 .

[12]  Luigi Morino,et al.  Steady and Oscillatory Subsonic and Supersonic Aerodynamics around Complex Configurations , 1975 .

[13]  F. Johnson,et al.  A three-dimensional solution of flows over wings with leading-edge vortex separation , 1976 .

[14]  F. T. Johnson,et al.  Advanced panel-type influence coefficient methods applied to subsonic flows , 1975 .

[15]  E. Polhamus A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy , 1966 .

[16]  Paul E. Rubbert,et al.  An improved method for the prediction of completely three-dimensional aerodynamic load distributions of configurations with leading edge vortex separation , 1976 .

[17]  J. H. B. Smith,et al.  A theory of the flow past a slender delta wing with leading edge separation , 1959, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[18]  R. J. Vidal,et al.  Experimental Investigation of Influence of Edge Shape on the Aerodynamic Characteristics of Low Aspect Ratio Wings at Low Speeds , 1955 .