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Resolution of d'Alembert's Paradox
KTH, Skolan för datavetenskap och kommunikation (CSC), Numerisk analys, NA.ORCID-id: 0000-0003-4256-0463
KTH, Skolan för datavetenskap och kommunikation (CSC), Numerisk analys, NA.
2010 (engelsk)Inngår i: Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, E-ISSN 1422-6952, Vol. 12, nr 3, s. 321-334Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We propose a resolution of d'Alembert's Paradox comparing observation of substantial drag/lift in fluids with very small viscosity such as air and water, with the mathematical prediction of zero drag/lift of stationary irrotational solutions of the incompressible inviscid Euler equations, referred to as potential flow. We present analytical and computational evidence that (i) potential flow cannot be observed because it is illposed or unstable to perturbations, (ii) computed viscosity solutions of the Euler equations with slip boundary conditions initiated as potential flow, develop into turbulent solutions which are wellposed with respect to drag/lift and which show substantial drag/lift, in accordance with observations.

sted, utgiver, år, opplag, sider
2010. Vol. 12, nr 3, s. 321-334
Emneord [en]
D'Alembert's Paradox, Euler equations, inviscid flow, General Galerkin method, illposed, wellposed, separation, blowup
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Identifikatorer
URN: urn:nbn:se:kth:diva-26853DOI: 10.1007/s00021-008-0290-1ISI: 000281041600001Scopus ID: 2-s2.0-77955921402OAI: oai:DiVA.org:kth-26853DiVA, id: diva2:373761
Merknad
QC 20101201Tilgjengelig fra: 2010-12-01 Laget: 2010-11-29 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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