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We present the generalization of a recently introduced modified gravitational potential for self-gravitating fluids. The use of this potential allows for an accurate approximation of general relativistic effects in an otherwise Newtonian…

Astrophysics · Physics 2009-11-13 Bernhard Mueller , Harald Dimmelmeier , Ewald Mueller

We describe a method of implementing the axisymmetric evolution of general-relativistic hydrodynamics and magnetohydrodynamics through modification of a multipatch grid scheme. In order to ease the computational requirements required to…

The detection of GW170817, together with its electromagnetic counterparts, has proven that binary neutron star mergers are of central importance to the field of nuclear astrophysics, e.g., through a better understanding of the formation of…

High Energy Astrophysical Phenomena · Physics 2025-03-12 Ranjith Mudimadugula , Federico Schianchi , Anna Neuweiler , Thibeau Wouters , Henrique Gieg , Tim Dietrich

We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order shock capturing with the discontinuous Galerkin method for general relativistic magnetohydrodynamics in dynamical spacetimes. We present several…

We report our new code (named SACRA) for numerical relativity simulations in which an adaptive mesh refinement algorithm is implemented. In this code, the Einstein equations are solved in the BSSN formalism with a fourth-order finite…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Tetsuro Yamamoto , Masaru Shibata , Keisuke Taniguchi

Simulations in stellar astrophysics involve the coupling of hydrodynamics and nuclear reactions under a wide variety of conditions, from simmering convective flows to explosive nucleosynthesis. Numerical techniques such as operator…

Computational Physics · Physics 2020-01-08 M. Zingale , M. P. Katz , J. B. Bell , M. L. Minion , A. J. Nonaka , W. Zhang

Aims. This work presents a new hydrodynamical algorithm to study astrophysical detonations. A prime motivation of this development is the description of a carbon detonation in conditions relevant to superbursts, which are thought to result…

Astrophysics · Physics 2009-06-23 C. Noel , Y. Busegnies , M. V. Papalexandris , V. Deledicque , A. El Messoudi

We develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning friction. The high-order accuracy relies on a suitable…

Numerical Analysis · Mathematics 2022-02-24 Victor Michel-Dansac , Christophe Berthon , Stéphane Clain , Françoise Foucher

Active galactic nuclei, x-ray binaries, pulsars, and gamma-ray bursts are all believed to be powered by compact objects surrounded by relativistic plasma flows driving phenomena such as accretion, winds, and jets. These flows are often…

Astrophysics · Physics 2009-06-23 Alexander Tchekhovskoy , Jonathan C. McKinney , Ramesh Narayan

Despite the many advances in the use of weakly-compressible smoothed particle hydrodynamics (SPH) for the simulation of incompressible fluid flow, it is still challenging to obtain second-order convergence even for simple periodic domains.…

Numerical Analysis · Mathematics 2022-09-07 Pawan Negi , Prabhu Ramachandran

We study the evolution of two fiducial configurations for binary neutron stars using two different general relativistic hydrodynamics(GRHD), distributed adaptive mesh codes. One code, HAD, has for many years been used to study mergers of…

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. L. Liebling , C. Palenzuela , L. Lehner

Almost a hundred compact binary mergers have been detected via gravitational waves by the LIGO-Virgo-KAGRA collaboration in the past few years providing us with a significant amount of new information on black holes and neutron stars. In…

High Energy Astrophysical Phenomena · Physics 2023-12-12 Kutay A. Çokluk , Kadri Yakut , Bruno Giacomazzo

To date, essentially all simulation codes that solve the full set of Einstein's equations are performed in the framework of Eulerian hydrodynamics. The exception is our recently developed Numerical Relativity code SPHINCS_BSSN which solves…

General Relativity and Quantum Cosmology · Physics 2022-06-17 S. Rosswog , P. Diener , F. Torsello

In the present work, we consider multi-scale computation and convergence for nonlinear time-dependent thermo-mechanical equations of inhomogeneous shells possessing temperature-dependent material properties and orthogonal periodic…

Numerical Analysis · Mathematics 2023-08-23 Hao Dong , Xiaofei Guan , Yufeng Nie

It is now generally agreed that multidimensional, multigroup, radiation hydrodynamics is an indispensable element of any realistic model of stellar-core collapse, core-collapse supernovae, and protoneutron star instabilities. We have…

Astrophysics · Physics 2007-05-23 F. Douglas Swesty , Eric S. Myra

We present the results of 3D, high-resolution calculations of neutron star mergers. Using Newtonian gravity, but adding the forces from the emission of gravitational waves, we solve the hydrodynamics equations using the smoothed particle…

Astrophysics · Physics 2016-02-09 S. Rosswog , M. B. Davies

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…

Gravitational waveforms from numerical simulations are a critical tool to test and analytically calibrate the waveform models used to study the properties of merging compact objects. In this paper, we present a series of high-accuracy…

I review recent developments in the field of relativistic hydrodynamics and its application to the bulk dynamics in heavy-ion collisions at the Relativistic Heavy- Ion Collider (RHIC) and the Large Hadron Collider (LHC). In particular, I…

Nuclear Theory · Physics 2015-05-28 Bjoern Schenke

We present the methodology and performance of the new Lagrangian hydrodynamics code MAGMA2, a Smoothed Particle Hydrodynamics code that benefits from a number of non-standard enhancements. By default it uses high-order smoothing kernels and…

Instrumentation and Methods for Astrophysics · Physics 2020-09-02 Stephan Rosswog