Schwartz-Christoffel Panel Method Improvements and Applications

  • Etsuo MorishitaEmail author
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 343)


Schwartz-Christoffel panel method is improved and applied to general and unique airfoils. A potential flow around a two-dimensional circular cylinder can be transformed to that of a two-dimensional airfoil by the Schwartz-Christoffel conformal mapping. Multiple straight panels approximate a two-dimensional airfoil. This method is particularly effective for very thin airfoils. The conventional panel method would suffer for these extremely thin airfoil problems. First, the method is improved and tested against a circular cylinder and the analytical Joukowski airfoil. Several real airfoils are studied together with the unique polygonal airfoil sections for the propeller of Mars exploration and the dragonfly airfoil. It is shown that the method gives satisfactory results for all cases.


Potential flow Conformal mapping Airfoil Panel method 


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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Advanced Interdisciplinary SciencesGraduate School of Engineering, Utsunomiya UniversityUtsunomiyaJapan

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