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Abgeschlossene Arbeiten



Engeser, A. Verwendung von geometrischen Hüllkörpern in einem Präprozessor Framework für numerische Simulationen
Bachelorarbeit, Technische Universität München, 2014

Wich, Moritz Topologische Optimierung mit der Methode der Finiten Zellen für 2D und 3D Objekte in FCMLab
Bachelorarbeit, Technische Universität München, 2014

Teschemacher, T. Analysis of slender structures using coupled oriented bounding boxes with the finite cell method
Bachelorarbeit, Technische Universität München, 2014

Buckel, Sebastian Dynamic Substructuring using the Finite Cell Method
Bachelorarbeit, Technische Universität München, 2014

Dumonet, Dimitri Towards Efficient and Accurate 3D Cut Cell Integration in the Context of the Finite Cell Method
Bachelorarbeit, Technische Universität München, 2014

Kopp, Philipp Implementation of the Characteristic Based Split algorithm for the Shallow Water Equations in a high order finite element frame-work
Bachelorarbeit, Technische Universität München, 2014

Balafas, Georgios Polyhedral Mesh Generation for CFD-Analysis of Complex Structures
Masterarbeit, Technische Universität München, 2014

Elhaddad, M. Show abstract Transient Analysis with the Finite Cell Method
Masterarbeit, Technische Universität München, 2014



In the thesis at hand, the finite cell method (FCM) is applied to solve transient problems of linear elastodynamics. The mathematical formulation of FCM for linear elastodynamics is presented, following from the weak formulation of the initial/boundary-value problem. Semi-discrete time integration schemes are briefly discussed, and the choice of implicit time integration is justified. A simple benchmark problem is solved using FCM, illustrating the method's abiltiy to solve problems of linear elastodynamics with high convergence rates. Finally, a numerical example of transient analysis from an industrial application is solved using FCM. The numerical results are compared to a solution obtained using state-of-the-art commercial software, employing linear finite elements, in conjunction with explicit time integration. The results illustrate the potential of FCM as a powerful tool for transient analysis in elastodynamics.

Miksch, Matthias Show abstract Acoustic source localization based on time reversed simulations with high order Finite-Element Methods
Bachelorarbeit, Technische Universität München, 2014



This bachelor’s thesis depicts the source localization of acoustic source in solid bodies. For this purpose two fundamental equations are introduced, the equation of motion and the wave equation. Both equations were discretized in space with the Finite Element Method and in time with the Newmark’s scheme. Beside the simulation of a wave that spreads out in space, it is possible to simulate the wave in time-reverse such that the wave propagates back to its origin. The equations were solved numerically within MATLAB. Therefore an existing finite element implementation, which was provided by the chair of Computation in Engineering of the Technische Universität München, was extended.

Parametrische Modellierung des Ostbahnhofs München unter Verwendung eines neutralen prozeduralen Modells

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