By Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, Ernst Rank (auth.), Michael Bader, Hans-Joachim Bungartz, Tobias Weinzierl (eds.)
This lawsuits quantity collects overview articles that summarize study carried out on the Munich Centre of complicated Computing (MAC) from 2008 to 2012. The articles handle the expanding hole among what can be attainable in Computational technological know-how and Engineering as a result of fresh advances in algorithms, undefined, and networks, and what can truly be completed in perform; in addition they study novel computing architectures, the place computation itself is a multifaceted strategy, with wisdom or ubiquitous parallelism because of many-core platforms being simply of the demanding situations confronted. issues hide either the methodological points of complicated computing (algorithms, parallel computing, facts exploration, software program engineering) and state of the art functions from the fields of chemistry, the geosciences, civil and mechanical engineering, etc., reflecting the hugely interdisciplinary nature of the Munich Centre of complex Computing.
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43 Fig. 6 Illustration of the decomposition of the geometry boundary and the fluid parts of a cut cell in two-dimensional and three-dimensional cases. xi;j /dx; (26) i 2IE j D1 where Ei ; i 2 IE ; are the simple subcells into which we decompose of the fluid part of the cell and xi;j ; j D 1; : : : ; Ni ; are the quadrature points used in subcell i . With this formula, we can compute all cut cell integrals up to machine precision. However, this method can lead to a large number of quadrature points xi;j in particular in 3D and for higher order basis functions.
Xi;j /dx; (26) i 2IE j D1 where Ei ; i 2 IE ; are the simple subcells into which we decompose of the fluid part of the cell and xi;j ; j D 1; : : : ; Ni ; are the quadrature points used in subcell i . With this formula, we can compute all cut cell integrals up to machine precision. However, this method can lead to a large number of quadrature points xi;j in particular in 3D and for higher order basis functions. xi;j /; k D 1; : : : ; K (27) 44 J. Benk et al. xm / D 0 for all m 2 f1; : : : ; Kg n fkg.
In addition to the problem formulation, the type of finite element basis to be used has to be prescribed – of course in close connection with the computational grid and, therewith, the element type. Element quadrature, matrix assembly, and (non-)linear solvers are given by Sundance or Trilinos , respectively. The focus of this paper is on the numerical simulation of fluid-structure interaction processes and related optimization problems. These problems require the flexible handling of complex and moving geometries including large geometrical or even topological changes.