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dc.contributor.authorDeLillo, Thomas K.
dc.contributor.authorGreen, Christopher C.
dc.identifier.citationDeLillo, T. K., & Green, C. C. (2023). Computation of plane potential flow around multi-element airfoils using the Schottky-Klein prime function. Physica D: Nonlinear Phenomena, 450, 133753.
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dc.description.abstractPotential flow is computed around multi-element airfoils in two dimensions using numerical conformal mapping combined with the calculus of the Schottky-Klein prime function. The corners at the trailing edges of the airfoils are successively removed by Kármán–Trefftz maps. The map from the domain exterior to disks to the domain exterior to the smooth images of the airfoils is computed using an extension of a Fourier series method for the disk due to Fornberg. The velocity potential for flow in the circle domain, with circulation calculated to satisfy the Kutta condition in the airfoil domain, is computed using the Schottky-Klein prime function. The computations are compared to examples from the aerospace engineering literature.
dc.relation.ispartofseriesPhysica D: Nonlinear Phenomena
dc.relation.ispartofseriesVolume 450
dc.subjectSchottky-Klein prime function
dc.subjectNumerical conformal mapping
dc.subjectMultiply connected domain
dc.subjectFornberg's method
dc.subjectKármán–Trefftz transformation
dc.subjectPotential flow
dc.titleComputation of plane potential flow around multi-element airfoils using the Schottky-Klein prime function
dc.rights.holder© 2023 Elsevier B.V.

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