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Lösung der Navier-Stokes-Gleichungen: Teil 2

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Numerische Strömungsmechanik

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Zusammenfassung

Wir haben Diskretisierungsmethoden für die verschiedenen Terme in den Transportgleichungen beschrieben. Die Verbindung zwischen Druck- und Geschwindigkeitskomponenten in inkompressiblen Strömungen wurde demonstriert und es wurden einige Lösungsmethoden vorgestellt. Viele andere Methoden zur Lösung der Navier-Stokes-Gleichungen können entwickelt werden. Es ist unmöglich, sie alle hier zu beschreiben. Die meisten von ihnen haben jedoch Elemente mit den bereits beschriebenen Methoden gemeinsam. Die Vertrautheit mit diesen Methoden sollte es dem Leser ermöglichen, die anderen zu verstehen.

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Notes

  1. 1.

    Beide Diskretisierungen können formal mit FV-Methoden hergeleitet werden, wobei die Unterschiede darin bestehen, wie die Flüsse durch die KV-Seiten definiert werden. Siehe z. B. Ye et al. (1999) und C. A. J. Fletcher (1991), V.I, Abschn. 5.2.

  2. 2.

    Dies trifft zu, wo Dirichlet-Randbedingungen für Geschwindigkeit gelten; am Ausstromrand, wo die Geschwindigkeit eine Neumann-Randbedingung hat, gibt es je nach Strömung eine Reihe von Optionen für Druckrandbedingungen. Die Dokumentation von professionellen Rechenprogrammen beschreibt in der Regel diese Optionen. Siehe auch Sani et al. (2006).

  3. 3.

    Ditto

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Author information

Authors and Affiliations

  1. Stanford University, Stanford, CA, USA

    Joel H. Ferziger

  2. Institut für Schiffstechnik, Meerestechnik und Transportsysteme (ISMT), Universität Duisburg-Essen, Erlangen, Deutschland

    Milovan Perić

  3. School of Engineering, Stanford University, Stanford, CA, USA

    Robert L. Street

Authors
  1. Joel H. Ferziger
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  2. Milovan Perić
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  3. Robert L. Street
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Correspondence to Milovan Perić .

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Ferziger, J.H., Perić, M., Street, R.L. (2020). Lösung der Navier-Stokes-Gleichungen: Teil 2. In: Numerische Strömungsmechanik. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46544-8_8

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