On the behaviour of numerical schemes in the low Mach number regime [Elektronische Ressource] / vorgelegt von Felix Rieper

On the Behaviourof Numerical Schemesin the Low Mach Number RegimeVon der Fakultat fur Mathematik, Naturwissenschaften und Informatik¨ ¨der Brandenburgischen Technischen Universita¨t Cottbuszur Erlangung des akademischen GradesDoktor der Naturwissenschaften (Dr. rer. nat.)genehmigte Dissertationvorgelegt vonFelix Riepergeboren am 02. November 1973 in PotsdamGutachter: Prof. Dr. rer. nat. habil. Georg BaderGutachter: Prof. Dr. ing. habil. Rupert KleinGutachter: Prof. Dr. rer. nat. habil. Claus-Dieter MunzTag der mu¨ndlichen Pru¨fung: 24. Juli 2008iito my fatherand toFlorian and JasminiiiivAcknowledgementsI want to thank my thesis advisor Prof. Dr. Georg Bader for his continuing interestand support of my work. After a few years outside university he gave me the oppor-tunity to come back to science and research at his Chair of Numerical Analysis andScientific Computing. His trust in my capabilities and the great amount of freedomoffered enabled me to work intensively on this thesis.Special thanks to Dr. Sabine Roller for supporting my usage of the HYDSOL codeand for raising my interest in the field of low Mach number flow.I am grateful to Dr. Friedemann Kemm who always had an ear for my small problemsand spontaneous ideas.Prof. Dr. Rupert Klein gave me the opportunity to present my work in his team,which lead to numerous improvements in the thesis. Thanks also to Prof. Dr.