An asymptotic solution for the singularity at the angular point of the lid driven cavity:

Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is su...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Störtkuhl, T. (VerfasserIn), Zenger, C. (VerfasserIn), Zimmer, S. (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: München 1992
Schriftenreihe:Technische Universität <München>: TUM-I 9235
Schlagworte:
Zusammenfassung:Abstract: "In this paper we analyse the behaviour of the solution of Navier-Stokes' equations near the corner of the driven cavity, where the moving band touches the wall. At this point the solution is singular. Because the singularity does not depend on the Reynold's number, it is sufficient to study the problem in the case of infinite viscosity which is governed by Stokes' equations. We present an analytical asymptotic solution near the corner. Furthermore numerical results are given, which were gained with an efficient multigrid algorithm. We will see that for decreasing meshsize of the used grid the numerical solution converges to the derived analytical solution near the corner."
Beschreibung:7 S.

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