An Automatic Adaptive Numerical Method for Lifting Surface Theories

For problems involving numerical lifting surface calculations, comparisons of the various approximate methods do not always yield satisfactory results. This paper presents a means of determining the accuracy of any approximate method without comparisons. Moreover, it enables the optimum ratio NS/NC...

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Bibliographic Details
Published in:AIAA journal 1984-10, Vol.22 (10), p.1380-1385
Main Authors: Ando, Shigenori, Lee, Dong-Hwan
Format: Article
Language:English
Subjects:
Aerodynamics
Applied fluid mechanics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Summary:For problems involving numerical lifting surface calculations, comparisons of the various approximate methods do not always yield satisfactory results. This paper presents a means of determining the accuracy of any approximate method without comparisons. Moreover, it enables the optimum ratio NS/NC (number of downwash chords/number of control points in the downwash chord) to be found automatically by just doing the necessary calculations to obtain any prescribed accuracy. For this purpose, a steepest descent method and an appropriate convergence theorem are used. Although this method is applied here mainly to vortex lattice methods (VLM) for wings in steady flow, it is a universal one applicable to any efficient unsteady VLMs or mode methods.
ISSN:0001-1452
1533-385X
DOI:10.2514/3.48578