Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows

被引:328
作者
Foerster, Christiane
Wall, Wolfgang A.
Ramm, Ekkehard
机构
[1] Univ Stuttgart, Inst Struct Mech, D-70569 Stuttgart, Germany
[2] Tech Univ Munich, Chair Computat Mech, D-85747 Garching, Germany
关键词
artificial added mass; fluid-structure interaction; partitioned procedure; stability;
D O I
10.1016/j.cma.2006.09.002
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Within this paper the so-called artificial added mass effect is investigated 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 operator M-A 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 given to stabilised finite elements employed on the fluid partition. Numerical investigations further highlight the results. (c) 2006 Elsevier B.V. All rights reserved.
引用
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页码:1278 / 1293
页数:16
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