Elementos fluidos en 2D y 3D para analisis dinamico con interaccion fluido-estructura

Abstract

A finite element, formulated in terms of nodal displacements, for analysis of fluid-structure interaction problems, is presented. Such formulation, in the case of unconfined fluid,i.e., with a free surface, requires, for a correct behavior of the element, to be used in conjuction with reduced integration, which leads to a rank deficient stiffness matrix. A position dependent component of the stiffness is obtained which, in addition to eliminating rank deficiencies, allows for calculation of low frequency, constant volume, sloshing modes. This formulation is generalized to 3D, where additional spurious modes have to be restricted, which can be accomplished by penalizing not only the displacement rotational components as in 2D, but also their space derivaties, i.e., the displacement torsional components.

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