Applied and computational complex analysis. Vol. 3: discrete Fourier analysis—Cauchy integrals—construction of conformal maps---univalent functions
| Hi-index | 7.29 |
This paper concerns a determination procedure for conformal mapping of a wing through a finite element computation of potential function associated with the flow of 2-dimensional perfect fluid around the given wing section. Through our numerical procedure a family of mappings is obtained in the forms of finite Laurent series for an initial wing section input. Each member of the family describes a wing section located in a neighboring domain of the input one. Some of them could be expected as modified versions of the original wing section input, although they could not recover completely it. Inputting the shape of wing section has ambiguity in practical cases of wing sections such as the NACA23012 wing section. We would like to postulate that our identification procedure should be employed in the determination process of numerical profiles of the wing section considered, since identified ones are significantly easier in numerical processing than the original input shape.