Titelaufnahme

Titel
Mapped Tent Pitching method for hyperbolic conservation laws / von Christoph Wintersteiger
VerfasserWintersteiger, Christoph
Begutachter / BegutachterinSchöberl, Joachim
ErschienenWien, 2015
Umfang39 Blätter : Diagramme
HochschulschriftTechnische Universität Wien, Diplomarbeit, 2015
SpracheEnglisch
DokumenttypDiplomarbeit
Schlagwörter (EN)space-time methods / Discontinuous Galerkin / entropy-viscosity
URNurn:nbn:at:at-ubtuw:1-80186 Persistent Identifier (URN)
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
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Mapped Tent Pitching method for hyperbolic conservation laws [2.38 mb]
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Zusammenfassung (Englisch)

This thesis introduces a novel discretization technique for solving hyperbolic conservation laws, called Mapped Tent Pitching (MTP) scheme. A tent pitching algorithm creates space-time domains, called tents, by vertically erecting canopies over spatial vertex patches. The structure of such a tent pitched space-time mesh is exploited by the MTP scheme to map these tents to a reference domain with a space-time tensor product structure. These domains are spatially discretized with a high order discontinuous Galerkin method, combined with a time stepping method. To obtain a robust method an entropy viscosity regularization is applied. This MTP scheme is implemented as part of this thesis based on the finite element library Netgen/NGSolve and tested with challenging problems like the Euler equations.