Stability estimates and numerical comparison of second order time-stepping schemes for fluid-structure interactions
It is well-known that the Crank-Nicolson scheme for pure fluid problems suffers from stability for computations over long-term time intervals. In the presence of fluid-structure interaction in which the fluid equations are reformulated with the help of arbitrary Lagrangian-Eulerian (ALE) mapping, th...
Gespeichert in:
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| Dokumenttyp: | Kapitel/Artikel Konferenzschrift |
| Sprache: | Englisch |
| Veröffentlicht: |
2013
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| In: |
Numerical Mathematics and Advanced Applications 2011
Year: 2013, Pages: 625-632 |
| Online-Zugang: | Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-642-33134-3_66
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| Verfasserangaben: | T. Wick |
| Zusammenfassung: | It is well-known that the Crank-Nicolson scheme for pure fluid problems suffers from stability for computations over long-term time intervals. In the presence of fluid-structure interaction in which the fluid equations are reformulated with the help of arbitrary Lagrangian-Eulerian (ALE) mapping, the ALE convection also causes stability problems. In this study, we derive a stability estimate of a monolithically coupled time-discretized fluid-structure interaction problem. Moreover, a numerical comparison of all relevant second order time-stepping schemes, such as secant and tangent Crank-Nicolson, shifted Crank-Nicolson, and Fractional-Step-Theta, is demonstrated. The numerical experiments are based on a benchmark configuration for fluid-structure interactions. |
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| Beschreibung: | First online: 04. November 2012 Gesehen am 21.12.2017 |
| Beschreibung: | Online Resource |
| ISBN: | 9783642331343 |