High performance computing for stability problems [Elektronische Ressource] : applications to hydrodynamic stability and neutron transport criticality / von Chandramowli Subramanian

Subramanian V. Subramanian

Description

High Performance Computingfor Stability ProblemsApplications to Hydrodynamic Stability andNeutron Transport CriticalityZur Erlangung des akademischen Grades einesDOKTOR DER NATURWISSENSCHAFTENvon der Fakultät für Mathematik derUniversität Karlsruhe (TH)genehmigteDISSERTATIONvonDipl.-Math. Chandramowli SubramanianausFilderstadtTag der mündlichen Prüfung: 17. Februar 2011Referent: Prof. Dr. Vincent HeuvelineKorreferent: Prof. Dr. Götz AlefeldAbstractIn this work we examine two kinds of applications in terms of stability and perform nu-merical evaluations and benchmarks on parallel platforms. We consider the applicabilityof pseudospectra in the field of hydrodynamic stability to obtain more information than atraditional linear stability analysis can provide. We present parallel computational tech-niques as well as evaluations of pseudospectra of complex flow processes. In the field ofnuclear engineering we treat the criticality problem which describes the crucial criteria forthe stability of a nuclear reactor. For the resulting eigenvalue problem we highlight theDavidson method as an attractive alternative to the so far widely used power method.ZusammenfassungIn dieser Arbeit untersuchen wir zwei Klassen von Anwendungen hinsichtlich ihres Stabi-litätsverhaltens und führen entsprechende numerische Berechnungen und Benchmarks aufparallelenPlattformendurch.

Sujets

• Mathematics

Informations

• Publié par: karlsruher_institut_fur_technologie
• Publié le: 01 janvier 2011
• Nombre de lectures: 20
• Langue: English
• Poids de l'ouvrage: 2 Mo

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