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:
| 1. Verfasser: | |
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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 |
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| 245 | 1 | 0 | |a Stability estimates and numerical comparison of second order time-stepping schemes for fluid-structure interactions |c T. Wick |
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| 520 | |a 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. | ||
| 773 | 0 | 8 | |i Enthalten in |a Cangiani, Andrea |t Numerical Mathematics and Advanced Applications 2011 |d Berlin : Springer, 2013 |g (2013), Seite 625-632 |h Online-Ressource (XVI, 859 p. 258 illus, digital) |w (DE-627)1652019774 |w (DE-576)378517538 |z 9783642331343 |7 nnam |
| 773 | 1 | 8 | |g year:2013 |g pages:625-632 |g extent:8 |a Stability estimates and numerical comparison of second order time-stepping schemes for fluid-structure interactions |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |a Wick, Thomas, 1983 - |t Stability estimates and numerical comparison of second order time-stepping schemes for fluid-structure interactions |d 2013 |w (DE-627)1566606713 |w (DE-576)496606719 |
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