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Energy Decay of Vortices in Viscous Fluids: an Applied Mathematics View
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
Department of Information Technology, Uppsala University, Sweden.
2012 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 709, 593-609 p.Article in journal (Refereed) Published
Abstract [en]

The energy decay of vortices in viscous fluids governed by the compressible Navier–Stokes equations is investigated. It is shown that the main reason for the slow decay is that zero eigenvalues exist in the matrix related to the dissipative terms. The theoretical analysis is purely mathematical and based on the energy method. To check the validity of the theoretical result in practice, numerical solutions to the Navier–Stokes equations are computed using a stable high-order finite difference method. The numerical computations corroborate the theoretical conclusion.

Place, publisher, year, edition, pages
Cambridge University Press, 2012. Vol. 709, 593-609 p.
Keyword [en]
compressible flows; Navier–Stokes equations; vortex flows
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-80799DOI: 10.1017/jfm.2012.351ISI: 000309720600022OAI: diva2:548318
Available from: 2012-08-30 Created: 2012-08-30 Last updated: 2013-08-30

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