%0 Generic
%A Lioutas, Georgios
%C Heidelberg
%D 2022
%F heidok:32510
%R 10.11588/heidok.00032510
%T Binary neutron star merger simulations on a moving mesh
%U https://archiv.ub.uni-heidelberg.de/volltextserver/32510/
%X We discuss the extension of the, originally Newtonian, moving-mesh hydrodynamics AREPO code to study general relativistic systems. This includes the implementation of general relativistic hydrodynamics and coupling AREPO to a solver for the Einstein field equations, which adopts the conformal flatness approximation. We validate the implementation by evolving static neutron stars and comparing to independent calculations. We present the first general relativistic moving-mesh simulation of a neutron star merger. We find that the general dynamics and features of the post-merger gravitational wave emission agree with independent simulations performed with smoothed particle hydrodynamics and static-mesh tools. We observe that dynamical features in the post-merger phase, such as the quasi-radial oscillation mode and the double-core structure, survive longer in our moving-mesh simulation. Similarly, the post-merger gravitational wave signal is damped very slowly. These features suggest that the moving-mesh simulation has lower numerical viscosity and highlights that the moving-mesh approach can be very beneficial in simulations of neutron star mergers. As another part of this thesis, we examine relations between gravitational wave frequencies from isolated stars or merger remnants and stellar properties, such as the radius. We show that the scatter of points in such relations encodes information about the equation of state.