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16-64-5230 Mathematische Methoden in der Strömungsmechanik: Exakte und Symmetrie-Methoden · TUPlan

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16-64-5230

Mathematische Methoden in der Strömungsmechanik: Exakte und Symmetrie-Methoden

FB16 Maschinenbau · Offered in SoSe 2026

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Weekly sessions · SoSe 2026

Mon13:30–15:10L101/328K · Vorlesung
Fri09:50–10:35L101/328K · Vorlesung
Fri10:45–11:30L101/328K · Übung

Parts

16-64-5230-vlLecture3 contact h/week
16-64-5230-ueExercise1 contact h/week

Language: Deutsch
Taught by: Prof. Dr.-Ing. Martin Oberlack, Apl. Prof. Dr.-Ing. Yongqi Wang

Course content

Grundgleichungen der inkompressiblen Strömungsmechanik; Beispiele exakter Lösungen der Navier-Stokes Gleichungen; Einführung in den mathematischen Symmetriebegriff; Theorie der Lie-Gruppen; Lies 1. und 2. Hauptsatz; Dimensionsanalyse; Invarianz von Differentialgleichungen; Lie-Algorithmus zur Bestimmung von Symmetrien; invariante Lösungen nicht linearer partieller Differentialgleichungen; Direkte Konstruktionsmethode von Erhaltungssätzen in Divergenzform.

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