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GR: Fachverband Gravitation und Relativitätstheorie
GR 14: Relastro III
GR 14.4: Talk
Friday, April 4, 2025, 10:00–10:20, ZHG008
Robustness of the FO-CCZ4 Formulation Compared to GHG — •Mads Sørensen1, Daniela Cors2, David Hilditch3, and Bernd Brügmann1 — 1Theoretisch-Physikalisches Institut , Jena, Germany — 2Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Cambridge, United Kingdom — 3Center for Astrophysics and Gravitation (CENTRA), Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal
Numerical relativity relies on robust formulations of Einstein’s field equations to simulate strong gravitational fields, like black-hole mergers, and for example extract gravitational-wave signals from them. We are interested in the stability of our simulations and thus on the hyperbolicity of the formulations we use. A first-order conformal covariant Z4 (FO-CCZ4) formulation has shown to succesfully manage to simulate moving puctures in 3 dimensions with a higher-order discontinuous Galerkin (DG) scheme. Making the FO-CCZ4 of high interest for various simulations. In this work, we focus on testing the robustness of this formulation by comparing it with the Generalised Harmonic Gauge (GHG) formulation. We have implemented FO-CCZ4 in the pseudo-spectral code bamps, with different shift and slicing conditions. We then compare the behaviour of FO-CCZ4 versus GHG for simple initial data.
Keywords: FO-CCZ4; GHG; Numerical relativity; General relativity; Numerical physics