Titelaufnahme

Titel
Moderne Numerische Methoden für Fluid-Struktur Interaktion / von Michael Neunteufel
Weitere Titel
Advanced Numerical Methods for Fluid Structure Interaction
VerfasserNeunteufel, Michael
Begutachter / BegutachterinSchöberl, Joachim
ErschienenWien, 2017
Umfang107 Seiten
HochschulschriftTechnische Universität Wien, Diplomarbeit, 2017
Anmerkung
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Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
SpracheEnglisch
DokumenttypDiplomarbeit
Schlagwörter (EN)Finite Elements / Fluid Structure Interaction
URNurn:nbn:at:at-ubtuw:1-101996 Persistent Identifier (URN)
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
Dateien
Moderne Numerische Methoden für Fluid-Struktur Interaktion [3.88 mb]
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Klassifikation
Zusammenfassung (Englisch)

This thesis deals with the coupling of fluid dynamics with elastic solid structure, namely the Navier-Stokes equations and the nonlinear elastic wave equation, which is due to the different types of these PDEs a challenging problem. Two different discretizations for the Navier-Stokes equations are discussed: the popular Taylor-Hood elements and the H(div)-conforming Hybrid Discontinuous Galerkin method, which ensures exact divergence-freeness. For the elastic wave equation a standard Newmark method is used and a new H(curl)-conforming method is introduced. Therefore, an additional variable is needed: the time derivative of the momentum, which is in the dual space of H(curl). The Arbitrary Lagrangian Eulerian description is well understood for H1-conforming methods, where the mesh velocity appears in the Navier-Stokes equations. For H(div)-conforming schemes, however, the ALE method is more involved and an additional term appears, which plays a crucial role. The methods are implemented in NGS-Py, which is based on the finite element library Netgen/NGSolve and tested with proper examples.