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GR: Fachverband Gravitation und Relativitätstheorie

GR 15: Numerical Relativity

GR 15.3: Vortrag

Donnerstag, 3. März 2016, 18:25–18:45, VMP6 HS C

Novel Efficient ADER-DG Scheme for General Relativistic Hydrodynamics — •Matthias Pilz¹, Marcus Bugner¹, Tim Dietrich^{1, 2}, and Bernd Brügmann¹ — ¹Theoretisch-Physikalisches Institut, Jena — ²Albert-Einstein-Institut, Potsdam-Golm

We study a discontinuous Galerkin (DG) finite element method applying an a posteriori finite volume subcell limiter technique for solving the equations of general relativistic hydrodynamics. A key part of the algorithm is the calculation of a space-time predictor solution, which enables us to obtain a high order approximation of the numerical fluxes in the one-step DG scheme. A novel alternative to the existing iterative procedure using an element-local continuous extension of Runge-Kutta methods is proposed. We aim at simulating the TOV star to show convergence and efficiency of our implementation.