Berlin 2015 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 16: Numerical Relativity
GR 16.4: Talk
Thursday, March 19, 2015, 16:30–16:50, H 2013
Discontinous Galerkin methods in general relativistic hydrodynamics — •Marcus Bugner1, Tim Dietrich1, Sebastiano Bernuzzi2,3, and Bernd Brügmann1 — 1Theoretical Physics Institute, University of Jena, 07743 Jena, Germany — 2TAPIR, California Institute of Technology, Pasadena, California, USA — 3DiFeST, University of Parma, and INFN Parma, I-43124 Parma, Italy
We investigate the properties of a Discontinous Galerkin (DG) method applied to solve the equations of special and general relativistic hydrodynamics in 3+1 dimensions. In order to avoid artificial oscillations at discontinuities, this is combined with a weighted essentially non-oscillatory (WENO) limiting procedure. We test the stability, convergence and scaling of our algorithm and compare our results with finite differencing simulations.