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We perform 3D numerical simulations for merger of equal mass binary neutron stars in full general relativity preparing irrotational binary neutron stars in a quasiequilibrium state as initial conditions. Simulations have been carried out…

Astrophysics · Physics 2009-11-06 Masaru Shibata , Koji Uryu

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

We perform numerical relativity simulations of black hole-neutron star (BH-NS) mergers with a fixed mass ratio of $q = 3$, varying the BH spin to produce a wide range of post-merger accretion disk masses. Our high-order numerical scheme,…

High Energy Astrophysical Phenomena · Physics 2025-01-24 Manuel R. Izquierdo , Carlos Palenzuela , Steven Liebling , Ore Gottlieb , Miguel Bezares

The development of a neutrino moment based radiative-transfer code to simulate binary neutron-star mergers can easily become an obstacle path because of the numerous ways in which the solution of the equations may fail. We describe the…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Carlo Musolino , Luciano Rezzolla

Two-dimensional axisymmetric simulations of binary neutron star (BNS) merger remnant are a cheap alternative to 3D simulations. To maintain realism for secular timescales, simulations must avoid accumulated errors from drifts in conserved…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Pavan Chawhan , Matthew D. Duez , Francois Foucart , Patrick Chi-Kit Cheong , Nishad Muhammed

The equations of general relativistic magnetohydrodynamics (GRMHD) have become the standard mathematical framework for modeling high-energy plasmas in curved spacetimes. However, the fragility of the primitive variable reconstruction…

General Relativity and Quantum Cosmology · Physics 2025-10-31 Jonathan Gorard , James Juno , Ammar Hakim

We implement advanced Riemann solvers HLLC and HLLD \cite{Mignone:2005ft,MUB:2009} together with an advanced constrained transport scheme \cite{Gardiner:2007nc} in a numerical-relativity neutrino-radiation magnetohydrodynamics code. We…

High Energy Astrophysical Phenomena · Physics 2023-01-11 Kenta Kiuchi , Loren E. Held , Yuichiro Sekiguchi , Masaru Shibata

We present a self-contained overview of GR-Athena++, a general-relativistic magnetohydrodynamics (GRMHD) code, that incorporates treatment of dynamical space-time, based on the recent work of (Daszuta+, 2021)[49] and (Cook+, 2023)[45].…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Boris Daszuta , William Cook

We propose a novel numerical method for solving multi-dimensional, special relativistic Boltzmann equations for neutrinos coupled to hydrodynamics equations. It is meant to be applied to simulations of core-collapse supernovae. We handle…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Hiroki Nagakura , Kohsuke Sumiyoshi , Shoichi Yamada

We present BIFROST, an extended version of the GPU-accelerated hierarchical fourth-order forward symplectic integrator code FROST. BIFROST (BInaries in FROST) can efficiently evolve collisional stellar systems with arbitrary binary…

Instrumentation and Methods for Astrophysics · Physics 2023-05-17 Antti Rantala , Thorsten Naab , Francesco Paolo Rizzuto , Matias Mannerkoski , Christian Partmann , Kristina Lautenschütz

Numerical-relativity simulations with non-trivial matter configurations require initial data that satisfy the Hamiltonian and momentum constraints of the Einstein equations. We construct constraint-satisfying scalar-field initial data using…

In this paper, we propose a coarse-to-fine integration solution inspired by the classical ICP algorithm, to pairwise 3D point cloud registration with two improvements of hybrid metric spaces (eg, BSC feature and Euclidean geometry spaces)…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Yue Pan , Bisheng Yang , Fuxun Liang , Zhen Dong

We extend a new finite element code, Einstein PHG (iPHG), to solve the evolution part of Einstein equations in first-order GH formalism. This paper is the third one of a systematic investigation of applying adaptive finite element method to…

General Relativity and Quantum Cosmology · Physics 2018-10-18 Li-Wei Ji , Rong-Gen Cai , Zhoujian Cao

We have recently written a new code to simulate the long term evolution of spherical clusters of stars. It is based on the pioneering Monte Carlo scheme proposed by Henon in the 70's. Our code has been devised in the specific goal to treat…

Astrophysics · Physics 2009-11-07 Marc Freitag , Willy Benz

Binary neutron star mergers are among the most energetic events in our Universe, with magnetic fields significantly impacting their dynamics, particularly after the merger. While numerical-relativity simulations that correctly describe the…

We present an improved version of the ECHO-QGP numerical code, which self-consistently includes for the first time the effects of electromagnetic fields within the framework of relativistic magnetohydrodynamics (RMHD). We discuss results of…

High Energy Physics - Phenomenology · Physics 2017-01-12 Gabriele Inghirami , Luca Del Zanna , Andrea Beraudo , Mohsen Haddadi Moghaddam , Francesco Becattini , Marcus Bleicher

The recent multimessenger observation of the short gamma-ray burst (SGRB) GRB 170817A together with the gravitational wave (GW) event GW170817 provides evidence for the long-standing hypothesis associating SGRBs with binary neutron star…

High Energy Astrophysical Phenomena · Physics 2019-07-24 Riccardo Ciolfi , Wolfgang Kastaun , Jay Vijay Kalinani , Bruno Giacomazzo

This paper is devoted to the computation of compact binaries composed of one black hole and one neutron star. The objects are assumed to be on exact circular orbits. Standard 3+1 decomposition of Einstein equations is performed and the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Philippe Grandclement

We present the new general-relativistic magnetohydrodynamics (GRMHD) capabilities of the Einstein Toolkit, an open-source community-driven numerical relativity and computational relativistic astrophysics code. The GRMHD extension of the…

We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Luciano Combi , Federico G. Lopez Armengol , Manuela Campanelli , Brennan Ireland , Scott C. Noble , Hiroyuki Nakano , Dennis Bowen
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