Spectra of operators associated with flow around an infinite cylinder

Jonathan Gustafsson, Sivaguru S. Sritharan

Abstract


Numerical approximations of the spectrum of the Oseen operator and the spectrum of the linearised Navier-Stokes operator for flow around a cylinder in two dimensions have been studied for Reynolds numbers in the range 2 to 40. By using a spectral method featuring basis functions covering the entire exterior domain, it is possible to obtain a numerical approximation to the continuous spectrum and the point spectrum. The numerical approximation of the spectra seems to agree with the expected rigorous results. Namely a parabolic tongue containing the continuous spectra for the Oseen operator and for the linearised Navier--Stokes operator a parabolic tongue containing the continuous part of the spectrum plus a finite number of isolated eigenvalues.

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Published: 2019-01-25

How to Cite this Article:

Jonathan Gustafsson, Sivaguru S. Sritharan, Spectra of operators associated with flow around an infinite cylinder, Engineering Mathematics Letters, Vol 2019 (2019), Article ID 2

Copyright © 2019 Jonathan Gustafsson, Sivaguru S. Sritharan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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