Computational Mechanics

, Volume 52, Issue 5, pp 1113–1124 | Cite as

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

  • Thomas WickEmail author
Original Paper


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.


Finite elements Fluid-structure interaction Monolithic formulation Arbitrary Lagrangian–Eulerian approach Fully Eulerian approach 

Mathematics Subject Classification (2000)

65N30 65M60 74F10 



I am grateful to Rolf Rannacher (Heidelberg) for the possibility to start working on this topic. Since I moved in the meantime to ICES (UT Austin), many thanks to Mary F. Wheeler (Center for Subsurface Modeling at ICES, Austin) for the possibility to finish this work. Moreover, I thank Marie-Cécile Wick and Elisa A. M. Wick for their patience because final preparation and the revised version were pure weekend work. Finally, I would like to thank both reviewers for their valuable comments which improved a lot the value of this study.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.The Institute for Computational Engineering and SciencesThe University of Texas at AustinAustinUSA
  2. 2.Institute for Applied MathematicsHeidelberg UniversityHeidelbergGermany

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