Coupling of fully Eulerian and arbitrary Lagrangian---Eulerian methods for fluid-structure interaction computations

Authors:
Thomas Wick
Affiliations:
The Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, USA 78712 and Institute for Applied Mathematics, Heidelberg University, Heidelberg, Germany 691 ...
Venue:
Computational Mechanics
Year:
2013

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Abstract

We present a specific application of the fluid-solid interface-tracking/interface-capturing technique (FSITICT) for solving fluid-structure interaction. Specifically, in the FSITICT, we choose as interface-tracking technique the arbitrary Lagrangian---Eulerian method and as interface-capturing technique the fully Eulerian approach, leading to the Eulerian-arbitrary Lagrangian---Eulerian (EALE) technique. Using this approach, the domain is partitioned into two sub-domains in which the different methods are used for the numerical solution. The discretization is based on a monolithic solver in which finite differences are used for temporal integration and a Galerkin finite element method for spatial discretization. The nonlinear problem is treated with Newton's method. The method combines advantages of both sub-frameworks, which is demonstrated with the help of some benchmarks.