356 citations · 3.6k across the 47 of their papers we have counts for
12 papers · 1 filter
High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
Michael Dumbser, Olindo Zanotti, Ilya Peshkov
We propose a high order discontinuous Galerkin (DG) scheme with subcell finite volume (FV) limiter to solve a monolithic first--order hyperbolic BSSNOK formulation of the coupled E…
A monolithic first--order BSSNOK formulation of the Einstein--Euler equations and its solution with path-conservative finite difference CWENO schemes
Michael Dumbser, Olindo Zanotti, Gabriella Puppo
We present a new, monolithic first--order (both in time and space) BSSNOK formulation of the coupled Einstein--Euler equations. The entire system of hyperbolic PDEs is solved in a…
Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
Dinshaw Balsara, Deepak Bhoriya, Olindo Zanotti +1
In this work we aim at developing a new class of high order accurate well-balanced finite difference (FD) Weighted Essentially Non-Oscillatory (WENO) methods for numerical general…
A well-balanced discontinuous Galerkin method for the first--order Z4 formulation of the Einstein--Euler system
Michael Dumbser, Olindo Zanotti, Elena Gaburro +1
In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein--E…
Conformal and covariant Z4 formulation of the Einstein equations: strongly hyperbolic first-order reduction and solution with discontinuous Galerkin schemes
Michael Dumbser, Federico Guercilena, Sven Koeppel +2
We present a strongly hyperbolic first-order formulation of the Einstein equations based on the conformal and covariant Z4 system (CCZ4) with constraint-violation damping, which we…
Accurate Simulations of Binary Black-Hole Mergers in Force-Free Electrodynamics
Daniela Alic, Philipp Moesta, Luciano Rezzolla +2
We provide additional information on our recent study of the electromagnetic emission produced during the inspiral and merger of supermassive black holes when these are immersed in…
On the detectability of dual jets from binary black holes
Philipp Moesta, Daniela Alic, Luciano Rezzolla +2
We revisit the suggestion that dual jets can be produced during the inspiral and merger of supermassive black holes when these are immersed in a force-free plasma threaded by a uni…
Very High Order $\PNM$ Schemes on Unstructured Meshes for the Resistive Relativistic MHD Equations
Michael Dumbser, Olindo Zanotti
In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic magnetohydrodynamics (RRMHD)…
On the accretion-induced QNM excitation of a Schwarzschild black hole
Alessandro Nagar, Olindo Zanotti, Jose A. Font +1
By combining the numerical solution of the nonlinear hydrodynamics equations with the solution of the linear inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations we investiga…
Gravitational waves from oscillating accretion tori: Comparison between different approaches
Alessandro Nagar, Jose A. Font, Olindo Zanotti +1
Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. Th…
Dynamics of thick discs around Schwarzschild-de Sitter black holes
Luciano Rezzolla, Olindo Zanotti, Jose A. Font
We consider the effects of a cosmological constant on the dynamics of constant angular momentum discs orbiting Schwarzschild-de Sitter black holes. The motivation behind this study…
New Relativistic Effects in the Dynamics of Nonlinear Hydrodynamical Waves
L. Rezzolla, O. Zanotti
In Newtonian and relativistic hydrodynamics the Riemann problem consists of calculating the evolution of a fluid which is initially characterized by two states having different val…