By Hans-Joachim Bungartz, Michael Schäfer

This quantity within the sequence Lecture Notes in Computational technological know-how and Engineering offers a suite of papers awarded on the overseas Workshop on FSI, held in October 2005 in Hohenwart and arranged by means of DFG's learn Unit 493 "FSI: Modeling, Simulation, and Optimization". The papers deal with partitioned and monolithic coupling techniques, methodical matters and functions, and talk about FSI from the mathematical, informatics, and engineering issues of view.

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**Extra info for Fluid-structure interaction : modelling, simulation, optimisation**

**Example text**

Hazel unknowns. If both Yc and f are unknown, the ﬁrst entry in the residual vector is given by the residual of the equilibrium equation (5). The element does not make a direct contribution to the equation that determines the external load, therefore we set the second entry to zero. The 2 × 2 elemental Jacobian matrix contains the derivatives of the two components of the residual vector with respect to the corresponding unknowns, so we have R (E) = f − k Yc 0 and J (E) = −k 1 0 0 . (6) If either f or Yc are pinned, the element contains only a single unknown and its Jacobian matrix and residual vector are reduced to the appropriate 1 × 1 sub-blocks.

Figure (a) shows the problem sketch; Figs. (b)-(e) show contours of the computed solution, obtained on the meshes that are generated by oomph-lib’s automatic mesh adaptation procedures. oomph-lib – An Object-Oriented Multi-Physics Finite-Element Library 33 Figure 8 shows a 3D example: steady entry ﬂow into a circular cylindrical tube at a Reynolds number of Re = 200. The axial velocity proﬁles illustrate how the ﬂow develops from the entry proﬁle u = (1 − r20 )ez towards the parabolic Hagen-Poiseuille proﬁle.

Stokes ﬂow in an elastic tube – a large-displacement ﬂuid-structure interaction problem. International Journal for Numerical Methods in Fluids 28 (1998) 243–265 2. : Partitioned analysis schemes for the transient interaction of incompressible ﬂows and nonlinear ﬂexible structures. : Trends in Computational Structural Mechanics, Barcelona, Spain, CIMNE, Barcelona (2001) 3. : An eﬃcient solver for the fully coupled solution of large-displacement ﬂuid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering 193 (2004) 1–23 4.