1. Fluid-structure interactions using different mesh motion techniques
- Author
-
Wick, Thomas
- Subjects
- *
FLUID-structure interaction , *FINITE element method , *JACOBIAN matrices , *SMOOTHNESS of functions , *NONLINEAR systems , *GALERKIN methods , *LAGRANGIAN functions , *PARTIAL differential equations - Abstract
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. [Copyright &y& Elsevier]
- Published
- 2011
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