Parametric multi-block grid generation and application to adaptive flow simulations [Elektronische Ressource] / vorgelegt von Philipp Peter Lamby

Parametric Multi Block Grid Generationand Application to Adaptive Flow SimulationsVon der Fakultat¨ fur¨ Mathematik, Informatik und Naturwissenschaftender Rheinisch Westfal¨ ischen Technischen Hochschule Aachenzur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften genehmigte Dissertationvorgelegt vonDiplom MathematikerPhilipp Peter Lambyaus BonnBerichter: Universita¨tsprofessor Dr. rer. nat. W. DahmenUniversita¨ssor Dr. Ing. J. Ballmann¨ ¨Tag der mundlichen Prufung: 15.August 2007Diese Dissertation ist auf den Internetseitender Hochschulbibliothek online verfugb¨ ar.AcknowledgmentsThe present thesis originated from my work at the Institut fur¨ Geometrie und Prak tische Mathematik of the RWTH Aachen from 2000 2007. During this period Iheld a position in the Collaborative Research Center SFB 401 ”Flow Modula tion and Fluid Structure Interaction at Airplane Wings” funded by the DeutscheForschungsgemeinschaft.For his guidance of my work I want to express my gratitude to Prof. Dr. Wolf gang Dahmen. I also sincerely thank Prof. Dr. Josef Ballmann for taking on thetask of the second referee of this thesis. I am grateful to both of them for theirlectures that I could attend, their steady support of my studies, many helpful dis cussions and for giving me the opportunity to work on this project.I am deeply thankful to Priv. Doz. Dr.