Zusammenfassung
Kompressible Strömungen werden in diesem Kapitel betrachtet. Methoden, die für kompressible Strömungen ausgelegt sind, werden kurz besprochen. Die Erweiterung von Druckkorrekturansätzen, die auf der Teilschrittmethode und dem SIMPLE-Algorithmus für inkompressible Ströme basieren, auf kompressible Strömungen wird ausführlicher beschrieben. Methoden zur Behandlung von Stößen (z.B. Gitteradaption, totalvariationsminimierende (total variation diminishing - TVD) und im Wesentlichen nichtoszillierende Schemata) werden ebenfalls diskutiert. Die Randbedingungen für verschiedene Arten von kompressiblen Strömungen (Unter-, Trans- und Überschall) werden beschrieben. Schließlich werden Anwendungsbeispiele vorgestellt und diskutiert.
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Notes
- 1.
Für inkompressible Strömungen kann der statische Druck entweder am Ein- oder am Ausstromrand vorgegeben werden. Da der Massenstrom eine Funktion der Druckdifferenz zwischen Ein- und Ausstromrand ist, kann die Geschwindigkeit am Einstromrand nicht vorgegeben werden, wenn der Druck sowohl am Ein- als auch am Ausstromrand vorgegeben ist.
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Ferziger, J.H., Perić, M., Street, R.L. (2020). Kompressible Strömungen. In: Numerische Strömungsmechanik. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46544-8_11
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