{"arxiv_id":"gr-qc/0602104","incoming":{"papers":22,"sentences":24,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":19,"sentences":20,"quotes":[{"arxiv_id":"1906.08786","title":"On the dynamical stability of quasi-toroidal differentially rotating neutron stars","url":"/paper/1906.08786","section":"Methods","sentence":"We evolve the initial data presented in Sec. [ref] using the well-tested Illinois GRMHD code [ref] which operates within the Cactus infrastructure [ref] and uses Carpet [ref] for mesh refinement.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2312.11358","title":"A hybrid approach to long-term binary neutron-star simulations","url":"/paper/2312.11358","section":"Spacetime Solvers","sentence":"We briefly recall that, once the initial data has been computed[In this is normally done using either the open-source codes [ref] , [ref] or the code [ref] .], the spacetime solution in is carried out in terms of the evolution sector of the 3+1 decomposition of the Einstein equations [ref] in conjunction with the [ref] , exploiting the box-in-box AMR driver in Cartesian coordinates [ref] , and the evolution code-suite developed in Frankfurt, which consists of the code for the higher-order finite-difference solution of the GRMHD equations and of the spacetime solver [ref] for the evolution of the constraint damping formulation of the Z4 formulation of the Einstein equations [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1509.08804","title":"Modeling Equal and Unequal Mass Binary Neutron Star Mergers Using Public Codes","url":"/paper/1509.08804","section":"Initial Models and Numerical Methods","sentence":"Its main tools used in the present study are: * The adaptive mesh refinement (AMR) methods implemented by Carpet [ref] . * Hydrodynamic evolution techniques provided by the package [ref] . * The evolution of the spacetime metric handled by the McLachlan package [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2105.05269","title":"The fate of twin stars on the unstable branch: implications for the formation of twin stars","url":"/paper/2105.05269","section":"Evolution code","sentence":"To evolve the hydrodynamics and spacetime we use the code of [ref] , which operates within the Cactus framework [ref] and employs Carpet [ref] for mesh refinement.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2104.07226","title":"Realistic Finite-Temperature Effects in Neutron Star Merger Simulations","url":"/paper/2104.07226","section":"Numerical Methods","sentence":"All simulations were performed with the Illinois dynamical spacetime, general-relativistic magnetohydrodynamics (GRMHD), adaptive-mesh-refinement code, which has most recently been described in [ref] , and is built within the Cactus/Carpet framework [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2305.01537","title":"Ameliorating the Courant-Friedrichs-Lewy condition in spherical coordinates: A double FFT filter method for general relativistic MHD in dynamical spacetimes","url":"/paper/2305.01537","section":"Introduction","sentence":"There are various approaches to remedy the problem, including multiblock or multipatch techniques [ref] , tessellated grids [ref] , static mesh refinement [ref] , mesh coarsening [ref] , local filters [ref] , global FFT filters [ref] , and distorted angular grids [ref] , to name a few.","intent_p":0.92,"contests_p":null},{"arxiv_id":"1308.1343","title":"Performance and Optimization Abstractions for Large Scale Heterogeneous Systems in the Cactus/Chemora Framework","url":"/paper/1308.1343","section":"Efficient Bounding Box Algebra","sentence":"While cell-based AMR algorithms require tree data structures to represent the refinement hierarchy, block-structured AMR algorithms (such as available in Carpet [ref] ) require data structures to represent sets of bounding boxes describing the regions that make up a particular refinement level.","intent_p":0.82,"contests_p":null},{"arxiv_id":"1710.07423","title":"Evolution of the Magnetized, Neutrino-Cooled Accretion Disk in the Aftermath of a Black Hole Neutron Star Binary Merger","url":"/paper/1710.07423","section":"Cubed-sphere Multipatch Grids","sentence":"Several groups have already implemented dynamics on spherical surfaces [ref] , 3D hydrodynamics [ref] , 3D MHD [ref] , and Einstein's equations [ref] with multipatch methods and cubed-sphere-like grids.","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":1},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/gr-qc/0602104"}}