Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
| Autor: | Christiane Förster, Wolfgang A. Wall, Ekkehard Ramm |
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| Rok vydání: | 2007 |
| Předmět: |
Discretization
Mechanical Engineering Computational Mechanics General Physics and Astronomy artifcial added mass fluid-structure interaction partitioned procedure stability Mechanics Viscous liquid Finite element method Computer Science Applications Nonlinear system Ingenieurwissenschaften Classical mechanics Mechanics of Materials Incompressible flow Fluid–structure interaction Compressibility ddc:620 Added mass Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 196:1278-1293 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2006.09.002 |
| Popis: | This note investigates the so-called arti cial added mass e ect which is responsible for devastating instabilities within sequentially staggered Fluid-Structure Interaction (FSI) simulations where incompressible fluids are considered. A discrete representation of the added mass operatorMA is given and `instability conditions' are evaluated for different temporal discretisation schemes. It is proven that for every sequentially staggered scheme and given spatial discretisation of a problem, a mass ratio between fluid and structural mass density can be found at which the coupled system becomes unstable. The analysis is quite general and does not depend upon the particular spatial discretisation schemes used. However here special attention is put on stabilised finite elements employed on the fluid partition. Numerical investigations further highlight the results. |
| Databáze: | OpenAIRE |
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