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We consider a gravitational wave oscillating in an initially homogeneous, magnetized fluid. The fluid is perfectly conducting and isentropic, and the magnetic field is initially uniform. We find analytic solutions for the case in which the…

天体物理学 · 物理学 2009-11-10 Matthew D. Duez , Yuk Tung Liu , Stuart L. Shapiro , Branson C. Stephens

Modern simulation codes for general relativistic ideal magnetohydrodynamics are all facing a long standing technical problem given by the need to recover fundamental variables from those variables that are evolved in time. In the…

广义相对论与量子宇宙学 · 物理学 2021-01-26 Wolfgang Kastaun , Jay Vijay Kalinani , Riccardo Ciolfi

In this work, we study the classical phase space for the gravitational degrees of freedom along a null ray. We construct gauge-invariant observables localized on a null ray segment that commute with those localized on the complement; thus,…

高能物理 - 理论 · 物理学 2026-04-28 Laurent Freidel , Josh Kirklin

In this paper, we present a new static and time-dependent MagnetoHydroDynamic (MHD) equilibrium code, TokaMaker, for axisymmetric configurations of magnetized plasmas, based on the well-known Grad-Shafranov equation. This code utilizes…

等离子体物理 · 物理学 2024-02-28 C. Hansen , I. G. Stewart , D. Burgess , M. Pharr , S. Guizzo , F. Logak , A. O. Nelson , C. Paz-Soldan

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…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Katy Clough

We present a new numerical implementation of the general-relativistic resistive magnetohydrodynamics (MHD) equations within the Whisky code. The numerical method adopted exploits the properties of implicit-explicit Runge-Kutta numerical…

广义相对论与量子宇宙学 · 物理学 2013-08-23 Kyriaki Dionysopoulou , Daniela Alic , Carlos Palenzuela , Luciano Rezzolla , Bruno Giacomazzo

We present a new numerical code, ECHO, based on an Eulerian Conservative High Order scheme for time dependent three-dimensional general relativistic magnetohydrodynamics (GRMHD) and magnetodynamics (GRMD). ECHO is aimed at providing a…

天体物理学 · 物理学 2009-11-13 L. Del Zanna , O. Zanotti , N. Bucciantini , P. Londrillo

Systems consisting of spheres rolling on elastic membranes have been used to introduce a core conceptual idea of General Relativity (GR): how curvature guides the movement of matter. However, such schemes cannot accurately represent…

广义相对论与量子宇宙学 · 物理学 2023-12-12 Shengkai Li , Hussain N. Gynai , Steven Tarr , Emily Alicea-Muñoz , Pablo Laguna , Gongjie Li , Daniel I. Goldman

We present GRAMSES, a new pipeline for nonlinear cosmological $N$-body simulations in General Relativity (GR). This code adopts the Arnowitt-Deser-Misner (ADM) formalism of GR, with constant mean curvature and minimum distortion gauge…

宇宙学与河外天体物理 · 物理学 2020-03-24 Cristian Barrera-Hinojosa , Baojiu Li

We have developed a new computer code, RELDAFNA, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

高能天体物理现象 · 物理学 2023-10-05 Ygal Y. Klein

We present a general procedure to solve numerically the general relativistic magnetohydrodynamics (GRMHD) equations within the framework of the 3+1 formalism. The work reported here extends our previous investigation in general relativistic…

天体物理学 · 物理学 2010-11-11 L. Anton , O. Zanotti , J. A. Miralles , J. M. Marti , J. M. Ibanez , J. A. Font , J. A. Pons

Numerical simulations have become one of the key tools used by theorists in all the fields of astrophysics and cosmology. The development of modern tools that target the largest existing computing systems and exploit state-of-the-art…

The conformal gravity remarkably boosts our prehension of gravity theories. We find a series of dynamical solutions in the $W^2$-conformal gravity, including generalized Schwarzschild-Friedmann-Robertson-Walker (GSFRW), charged generalized…

广义相对论与量子宇宙学 · 物理学 2017-06-28 Hongsheng Zhang , Yi Zhang , Xin-Zhou Li

In this paper a new approach for constructing \emph{multivariate} Gaussian random fields (GRFs) using systems of stochastic partial differential equations (SPDEs) has been introduced and applied to simulated data and real data. By solving a…

统计方法学 · 统计学 2013-07-08 Xiangping Hu , Daniel Simpson , Finn Lindgren , Håvard Rue

We present a new numerical algorithm and code, ${\sf GFiRe}$, for solving the non-linear evolution of Abelian gauge fields coupled to complex scalar fields in homogeneous and isotropic spacetimes. We adopt a hybrid approach to solving the…

宇宙学与河外天体物理 · 物理学 2020-05-20 Kaloian D. Lozanov , Mustafa A. Amin

We introduce $\texttt{GWFAST}$, a Fisher information matrix $\texttt{Python}$ code that allows easy and efficient estimation of signal-to-noise ratios and parameter measurement errors for large catalogs of resolved sources observed by…

天体物理仪器与方法 · 物理学 2022-10-25 Francesco Iacovelli , Michele Mancarella , Stefano Foffa , Michele Maggiore

We present GridFF, an efficient method for simulating molecules on rigid substrates, derived from techniques used in protein-ligand docking in biochemistry. By projecting molecule-substrate interactions onto precomputed spatial grids with…

化学物理 · 物理学 2025-08-22 Indranil Mal , Milan Kočí , Paolo Nicolini , Prokop Hapala

We present the FARGO3D code, recently publicly released. It is a magnetohydrodynamics code developed with special emphasis on protoplanetary disks physics and planet-disk interactions, and parallelized with MPI. The hydrodynamics algorithms…

天体物理仪器与方法 · 物理学 2016-04-06 Pablo Benítez-Llambay , Frédéric Masset

The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, GRworkbench has been significantly extended to facilitate numerical experimentation in…

广义相对论与量子宇宙学 · 物理学 2016-11-09 A. Moylan , S. M. Scott , A. C. Searle

Many astrophysical hydrodynamics simulations must account for gravity, and evaluating the gravitational field at the positions of all resolution elements can incur significant cost. Typical algorithms update the gravitational field at the…

天体物理仪器与方法 · 物理学 2021-08-11 Michael Y. Grudić