Diploma and Master Theses (authored and supervised):
"Mapped Tent Pitching Method for Hyperbolic Conservation Laws";
Supervisor: J. Schöberl, A. Jüngel;
Institut für Analysis und Scientific Computing,
final examination: 2015-11-15.
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.