By Hans-Joachim Bungartz, Michael Schäfer
This quantity within the sequence Lecture Notes in Computational technological know-how and Engineering provides a set of papers provided on the overseas Workshop on FSI, held in October 2005 in Hohenwart and arranged through DFG's learn Unit 493 "FSI: Modeling, Simulation, and Optimization". The papers deal with partitioned and monolithic coupling methods, methodical concerns and purposes, and talk about FSI from the mathematical, informatics, and engineering issues of view.
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Additional resources for Fluid-structure interaction : modelling, simulation, optimisation
However, in problems with curvilinear domain boundaries, we must ensure that the reﬁned meshes provide a progressively more accurate representation of the exact boundary shape. In order to achieve this, oomph-lib requires domains with curvilinear boundaries to be represented by objects that are derived from the abstract base class Domain. All speciﬁc Domain objects decompose an “exact” domain into a number of macro elements which must have the same topology and be parametrised by the same set of local coordinates as the geometric ﬁnite elements in the coarse initial mesh, as illustrated in Fig.
Meshes consisting of quad or brick elements). The adaptation involves the following speciﬁc steps: 1. Compute an error estimate for all elements in the mesh. This task is performed by a speciﬁc ErrorEstimator object. Error estimation in the two examples shown above was performed with oomph-lib’s Z2ErrorEstimator which provides an implementation of Zhu & Zienkiewicz’s ﬂux recovery procedure . 2. Select all elements whose error estimate exceeds (or falls below) certain user-speciﬁed thresholds for reﬁnement (or unreﬁnement).
To begin, consider the 2D Poisson problem ∇2 u = 1 in Dﬁsh subject to u = 0 on ∂Dﬁsh , (8) where Df ish is the ﬁsh-shaped domain, shown in Fig. 7(a). The “ﬁsh body” is bounded by two circular arcs of radius R, whose centres are located at (Xc , ±Yc ); the remaining domain boundaries are straight lines. The plots in Figs. 7(b-e) show contours of the solution, computed on the meshes that are generated at successive stages of the fully-automatic mesh-adaptation process. Note that oomph-lib requires only the provision of a very coarse initial mesh, here containing just four nine-node quad elements of type QPoissonElement<2,3>.