ALE finite element computations of fluid-structure interaction problems. (English) Zbl 0845.76049

Summary: A computational method is developed in order to analyze a class of fluid-structure interaction problems, where the viscous incompressible fluid and a rigid body-spring system interact nonlinearly with each other. In order to incorporate the effect of the moving surface of the rigid body as well as the free surface motion, the arbitrary Lagrangian-Eulerian (ALE) formulation is employed as the basis of the finite element spatial discretization. The method is applied to the vortex-excited oscillations of a circular cylinder, as well as to the interaction of a structure and a device for suppressing the structural vibration.


76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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