A fluid-structure interaction method for highly deformable solids

Authors:
Claudio M. Pita;Sergio D. Felicelli
Affiliations:
Department of Mechanical Engineering, Mississippi State University, MS 39762, USA;Department of Mechanical Engineering, Mississippi State University, MS 39762, USA and Center for Advanced Vehicular Systems, Mississippi State University, MS 39762, USA
Venue:
Computers and Structures
Year:
2010

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Abstract

The immersed element-free Galerkin method (IEFG) is presented for modeling fluid-structure interaction problems involving large deformation of a slender solid body. The fluid flow and energy equations are solved with an Eulerian adaptive finite element method while the solid domain is modeled with an updated-Lagrangian IEFG formulation. The fluid-structure interaction is represented as a volumetric force in the momentum equations. The continuity between the solid and fluid domains is satisfied by means of a local moving least squares approximation of the fluid velocity field and the fluid-structure interaction force. To illustrate the potential of the IEFG method, a model problem which is closely related to computations of the dynamics of oxide bifilms in molten metal alloys during a solidification process is presented.