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GR: Fachverband Gravitation und Relativitätstheorie

GR 16: Numerical Relativity

GR 16.4: Vortrag

Donnerstag, 19. März 2015, 16:30–16:50, H 2013

Discontinous Galerkin methods in general relativistic hydrodynamics — •Marcus Bugner¹, Tim Dietrich¹, Sebastiano Bernuzzi^2,3, 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.