Relativistic simulations of rotational core collapse I. Methods, initial models, and code tests

By H. Dimmelmeier, J. Font, E. Mueller. 2002

155 citations recorded by the source corpus.

We describe an axisymmetric general relativistic code for rotational core collapse. The code evolves the coupled system of metric and fluid equations using the ADM 3 + 1 formalism and a conformally flat metric approximation of the Einstein equations. Within this approximation the ADM 3 + 1 equations reduce to a set of ve coupled non-linear elliptic equations for the metric components. The equations are discretized on a 2D grid in spherical polar coordinates and are solved by means of a Newton-Raphson iteration using a block elimination scheme to solve the diagonally dominant, sparse linear system arising within each iteration step. The relativistic hydrodynamics equations are formulated as a rst-order flux-conservative hyperbolic system and are integrated using high-resolution shock-capturing schemes based on Riemann solvers. We assess the quality of the conformally flat metric approximation for relativistic core collapse and present a comprehensive set of tests that the code successfully passed. The tests include relativistic shock tubes, the preservation of the rotation prole and of the equilibrium of rapidly and dierentially rotating neutron stars (approximated as rotating polytropes), spherical relativistic core collapse, and the conservation of rest-mass and angular momentum in dynamic spacetimes. The application of the code to relativistic rotational core collapse, with emphasis on the gravitational waveform signature, is presented in an accompanying paper.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/70140a4bdd8e7f3cf77d2b281117e9a27c2c150b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

Citations in the corpus

Gravitational Waves from Axisymmetric, Rotating Stellar Core Collapse (2003, methodology): “Using the publicly available data of the Newtonian runs of Dimmelmeier et al. (2002b), we find that our waveforms match perfectly up to bounce and then start to exhibit a slight shift in postbounce maxima, minima, and periods.”
A NEW MULTI-DIMENSIONAL GENERAL RELATIVISTIC NEUTRINO HYDRODYNAMICS CODE FOR CORE-COLLAPSE SUPERNOVAE. II. RELATIVISTIC EXPLOSION MODELS OF CORE-COLLAPSE SUPERNOVAE (2012, background): “Using the Vertex-CoCoNuT code with a ray-by-ray-plus treatment of multi-flavor, multi-energy 2D neutrino transport as documented in Müller et al. (2010, henceforth Paper I), we have conducted simulations of two progenitor models with 11.2M⊙ and 15M⊙ beyond the onset of the explosion.”
A NEW MULTI-DIMENSIONAL GENERAL RELATIVISTIC NEUTRINO HYDRODYNAMIC CODE FOR CORE-COLLAPSE SUPERNOVAE. I. METHOD AND CODE TESTS IN SPHERICAL SYMMETRY (2010, methodology): “We have implemented our relativistic ray-by-ray-plus method using the framework of two existing codes, the time-explicit relativistic hydrodynamics code CoCoNuT (Dimmelmeier et al. 2002a) and the implicit neutrino transport code VERTEX (Rampp & Janka 2002; Buras et al. 2006b).”
Approximate Universal Relations for Neutron Stars and Quark Stars (2016, background): “Differential rotation is important in proto-neutron stars formed after supernova explosions [177, 178], whose differential rotation may last for ∼ 1 minute, and in hypermassive neutron stars formed after mergers of neutron star binaries [148, 179, 180].”
Three-dimensional simulations of neutrino-driven core-collapse supernovae from low-mass single and binary star progenitors (2018, methodology): “The finite-volume hydro solver employs a hybrid HLLC/HLLE Riemann solver with higher order reconstruction (Dimmelmeier et al. 2002; Müller et al. 2010) and uses spherical polar coordinates.”
A NEW MULTI-DIMENSIONAL GENERAL RELATIVISTIC NEUTRINO HYDRODYNAMICS CODE OF CORE-COLLAPSE SUPERNOVAE. III. GRAVITATIONAL WAVE SIGNALS FROM SUPERNOVA EXPLOSION MODELS (2012, methodology): “We analyze the GW emission for several 2D simulations performed with the general relativistic neutrino hydrodynamics code Vertex-CoCoNuT (Müller et al. 2010) or its (pseudo)-Newtonian counterpart Vertex-Prometheus (Rampp & Janka 2002; Buras et al. 2006).”