Fluid-structure interactions using different mesh motion techniques

Authors:
Thomas Wick
Affiliations:
Institute of Applied Mathematics, University of Heidelberg, INF 293/294 69120 Heidelberg, Germany
Venue:
Computers and Structures
Year:
2011

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Abstract

In this work, we compare different mesh moving techniques for monolithically-coupled fluid-structure interactions in arbitrary Lagrangian-Eulerian coordinates. The mesh movement is realized by solving an additional partial differential equation of harmonic, linear-elastic, or biharmonic type. We examine an implementation of time discretization that is designed with finite differences. Spatial discretization is based on a Galerkin finite element method. To solve the resulting discrete nonlinear systems, a Newton method with exact Jacobian matrix is used. Our results show that the biharmonic model produces the smoothest meshes but has increased computational cost compared to the other two approaches.