By Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, Ernst Rank (auth.), Michael Bader, Hans-Joachim Bungartz, Tobias Weinzierl (eds.)
This court cases quantity collects overview articles that summarize examine performed on the Munich Centre of complicated Computing (MAC) from 2008 to 2012. The articles handle the expanding hole among what could be attainable in Computational technological know-how and Engineering because of contemporary advances in algorithms, undefined, and networks, and what can truly be completed in perform; in addition they research novel computing architectures, the place computation itself is a multifaceted technique, with understanding or ubiquitous parallelism as a result of many-core platforms being simply of the demanding situations confronted. themes disguise either the methodological elements of complicated computing (algorithms, parallel computing, information 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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Additional resources for Advanced Computing
Mech. 50, 413–431 (2012) 14. : Imposing dirichlet boundary conditions with Nitsche’s method and spline-based finite elements. Int. J. Numer. Methods Eng. 83, 877–898 (2010) 15. : Imposing essential boundary conditions in mesh-free methods. Comput. Methods Appl. Mech. Eng. 193, 1257–1275 (2004) 16. : Distributed lagrange multipliers based on fictitious domain method for second order elliptic problems. Comput. Methods Appl. Mech. Eng. 196, 1498– 1506 (2007) 17. : An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems.
Springer, Berlin/New York (1997) 19. : Finite Element Methods with B-Splines. Society for Industrial and Applied Mathematics, Philadelphia (2003) 20. : The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, Mineola (2000) 21. : Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194, 4135–4195 (2005) 22. : Interactive computing framework for engineering applications. J. Comput. Sci. 7, 591–599 (2011) 23.
In this paper, we present a Cartesian grid implementation in Sundance including an extension of Nitsche’s method to flow simulations on moving geometries, in particular fluid-structure interaction and shape optimization problems. In the following section, we show the underlying equations of our fluid-structure scenarios and recall some basic methods for PDE constraint optimization. Section 3 gives a an overview of immersed boundary methods and the related terminology. In Sect. 4, we shortly introduce the Sundance toolbox with its basic functionality, user interface, and implementational concept.
Advanced Computing by Dominik Schillinger, Quanji Cai, Ralf-Peter Mundani, Ernst Rank (auth.), Michael Bader, Hans-Joachim Bungartz, Tobias Weinzierl (eds.)