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A spectrum preserving collocation scheme for Slender-Body Approximations to Stokes Flow

  • Linearized flows past slender bodies can be asymptotically described by a linear Fredholm integral equation. A collocation method to solve this equation is presented. In cases where the spectral representation of the integral operator is explicitly known, the collocation method recovers the spectrum of the continuous operator. The approximation error is estimated for two discretizations of the integral operator and the convergence is proved. The collocation scheme is validated in several test cases and extended to situations where the spectrum is not explicit.

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Author:Thomas Götz
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10554
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (234)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/08/22
Tag:Integral Equations; Numerics; Slender-Body Approximations; Stokes Flow
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Rxx Integral equations, integral transforms / 65R20 Integral equations
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011