Title: Mapped Tent Pitching method for hyperbolic conservation laws
Language: English
Authors: Wintersteiger, Christoph 
Qualification level: Diploma
Advisor: Schöberl, Joachim 
Issue Date: 2015
Number of Pages: 39
Qualification level: Diploma
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.
Keywords: space-time methods; Discontinuous Galerkin; entropy-viscosity
URI: https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-80186
Library ID: AC12702391
Organisation: E101 - Institut für Analysis und Scientific Computing 
Publication Type: Thesis
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