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GRChombo is an open-source code for performing Numerical Relativity time evolutions, built on top of the publicly available Chombo software for the solution of PDEs. Whilst GRChombo uses standard techniques in NR, it focusses on…

In this work, we introduce GRChombo: a new numerical relativity code which incorporates full adaptive mesh refinement (AMR) using block structured Berger-Rigoutsos grid generation. The code supports non-trivial "many-boxes-in-many-boxes"…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Katy Clough , Pau Figueras , Hal Finkel , Markus Kunesch , Eugene A. Lim , Saran Tunyasuvunakool

We report on a new 3D numerical code designed to solve the Einstein equations for general vacuum spacetimes. This code is based on the standard 3+1 approach using cartesian coordinates. We discuss the numerical techniques used in developing…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Peter Anninos , Karen Camarda , Joan Masso , Edward Seidel , Wai-Mo Suen , John Towns

We demonstrate the flexibility and utility of the Berger-Rigoutsos Adaptive Mesh Refinement (AMR) algorithm used in the open-source numerical relativity code GRChombo for generating gravitational waveforms from binary black-hole inspirals,…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Miren Radia , Ulrich Sperhake , Amelia Drew , Katy Clough , Pau Figueras , Eugene A. Lim , Justin L. Ripley , Josu C. Aurrekoetxea , Tiago França , Thomas Helfer

GRFolres is an open-source code for performing simulations in modified theories of gravity, based on the publicly available 3+1D numerical relativity code GRChombo. Note: Submitted for review in the Journal of Open Source Software; Comments…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Llibert Aresté Saló , Sam E. Brady , Katy Clough , Daniela Doneva , Tamara Evstafyeva , Pau Figueras , Tiago França , Lorenzo Rossi , Shunhui Yao

GRTresna is a multigrid solver designed to solve the constraint equations for the initial data required in numerical relativity simulations. In particular, it is focussed on scenarios with fundamental fields around black holes and…

The profound comprehension of the evolution and phenomenology of an Active Galactic Nucleus requires an accurate exploration of the dynamics of the magnetized gaseous disk surrounding the massive black hole in the centre. Many numerical…

High Energy Astrophysical Phenomena · Physics 2025-08-13 Giacomo Fedrigo , Alessandro Lupi

The paper combines theoretical and applied ideas which have been previously considered separately into a single set of evolution equations for Numerical Relativity. New numerical ingredients are presented which avoid gauge pathologies and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Arbona , C. Bona , J. Masso , J. Stela

Einstein's field equation of General Relativity (GR) has been known for over 100 years, yet it remains challenging to solve analytically in strongly relativistic regimes, particularly where there is a lack of a priori symmetry. Numerical…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Katy Clough

In the extreme violence of merger and mass accretion, compact objects like black holes and neutron stars are thought to launch some of the most luminous outbursts of electromagnetic and gravitational wave energy in the Universe. Modeling…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Zachariah B. Etienne , Vasileios Paschalidis , Roland Haas , Philipp Moesta , Stuart L. Shapiro

We present a new numerical code which solves the general relativistic magneto-hydrodynamics (GRMHD) equations coupled to the Einstein equations for the evolution of a dynamical spacetime within the conformally-flat approximation. This code…

Astrophysics · Physics 2009-11-13 Pablo Cerdá-Durán , José A. Font , Luis Antón , Ewald Müller

The numerical integration of particle trajectories in curved spacetimes is fundamental for obtaining realistic models of the particle dynamics around massive compact objects such as black holes and neutron stars. Generalized algorithms…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Fabio Bacchini , Bart Ripperda , Alexander Yuran Chen , Lorenzo Sironi

While numerical simulations offer unparalleled precision and robustness in studying complex physical systems, their execution is often hindered by complexity, costliness, and time consumption due to the intricate equations involved. This…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Shaun David Brocus Fell , Lavinia Heisenberg

Many astrophysical systems of interest to numerical relativity-such as rapidly rotating stars, black hole accretion disks, and core-collapse supernovae-exhibit near-symmetries. These systems generally consist of a strongly gravitating…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Terrence Pierre Jacques , Samuel Cupp , Leonardo R. Werneck , Samuel D. Tootle , Maria C. Babiuc Hamilton , Zachariah B. Etienne

We have developed a numerical code to study the evolution of self-gravitating matter in dynamic black hole axisymmetric spacetimes in general relativity. The matter fields are evolved with a high-resolution shock-capturing scheme that uses…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Brandt , J. A. Font , J. M. Ibanez , J. Masso , E. Seidel

Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

Numerical simulations are becoming a more effective tool for conducting detailed investigations into the evolution of our universe. In this article, we show how the framework of numerical relativity can be used for studying cosmological…

General Relativity and Quantum Cosmology · Physics 2014-03-13 David Garrison

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

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 describe a major update to the public GIZMO code. GIZMO has been used in simulations of cosmology; galaxy and star formation and evolution; black hole accretion and feedback; proto-stellar disk dynamics and planet formation; fluid…

Instrumentation and Methods for Astrophysics · Physics 2017-12-06 Philip F. Hopkins
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