Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris? |
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Authors: | E Leriche G Labrosse |
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Institution: | (1) Laboratoire d'Ingénierie Numérique, Institut des Sciences de l'Energie, Faculté des Sciences et Techniques de l'Ingénieur, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Ecublens, Switzerland;(2) Present address: LIMSI-CNRS, Université Paris-Sud, BP 133, 91403 Orsay Cedex, France |
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Abstract: | The well-known Reid-Harris expansions, applied to the stream function formulation, and the projection-diffusion Chebyshev
Stokes solver, in primitive variables, are used to compute the fundamental Stokes eigenmodes of each of the symmetry families
characterizing the Stokes solutions in the square. The numerical accuracy of both methods, applied with several discretizations,
are compared, for both the eigenvalues and the main features of the corresponding eigenmodes. The Chebyshev approach is by
far the most efficient, even though the associated solver does not provide a divergence free velocity but asymptotically. |
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Keywords: | Stokes eigenmodes Chebyshev and Reid-Harris spectral methods |
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