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By Hans-Joachim Bungartz, Michael Schäfer

This quantity within the sequence Lecture Notes in Computational technological know-how and Engineering provides a suite of papers awarded on the overseas Workshop on FSI, held in October 2005 in Hohenwart and arranged via DFG's study 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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3 Other Node Update Approaches in oomph-lib The generic implementation of the MacroElementNodeUpdateElement as a templated wrapper class is only possible because MacroElementUpdateNodes are able to update their own positions in response to changes in the shape of the domain boundaries. oomph-lib provides a number of alternative node update strategies and associated wrapper elements: SpineElement: A generalisation of Kistler & Scriven’s “Method of Spines” [8], often used for free-surface fluids problems.

5. A ring on an elastic foundation and its implementation as a GeneralisedElement and a GeomObject. 30 M. L. 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 .

The two upper plots show the velocity field at an instant when the moving wall approaches its undeformed, axisymmetric configuration. The fluid is accelerated and the velocity field resembles an unsteady stagnation point flow. A thin boundary layer exists near the wall but it has little effect on the overall flow field. The two lower plots show the flow during the second half of the periodic oscillation, when the wall approaches its most strongly deformed configuration. A strong adverse pressure gradient decelerates the fluid and an area of “flow separation” appears to form near the wall.

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