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- Michael Dumbser, Olindo Zanotti
- J. Comput. Physics
- 2009

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 magnetohydrodynam-ics (RRMHD) equations on unstructured meshes in multiple space dimensions. The nonlinear system under consideration is purely hyperbolic and contains a source term, the one for the evolution… (More)

We present general relativistic hydrodynamics simulations of constant specific angular momentum tori orbiting a Schwarzschild black hole. These tori are expected to form as a result of stellar gravitational collapse, binary neutron star merger or disruption, can reach very high rest-mass densities and behave effectively as neutron stars but with a toroidal… (More)

- Michael Dumbser, Olindo Zanotti, Arturo Hidalgo, Dinshaw S. Balsara
- J. Comput. Physics
- 2013

We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step time discretization is achieved using a local space-time discontinuous Galerkin pre-dictor method. Due to the one-step… (More)

- L. Rezzolla, O. Zanotti
- 2008

Observations of X-ray emissions from binary systems have long since been considered important tools to test General Relativity in strong-field regimes. The high frequency quasi-periodic oscillations (HFQPOs) observed in binaries containing a black hole candidate, in particular, have been proposed as a means to measure more directly the black hole properties… (More)

- Michael Dumbser, Olindo Zanotti, Raphaël Loubère, Steven Diot
- J. Comput. Physics
- 2014

We extend our approach for the exact solution of the Riemann problem in relativistic hydrody-namics to the case in which the fluid velocity has components tangential to the initial discontinu-ity. As in one-dimensional flows, we here show that the wave-pattern produced in a multidimen-sional relativistic Riemann problem can be predicted entirely by… (More)

- Luciano Rezzolla, Olindo Zanotti
- Physical review letters
- 2002

In Newtonian and relativistic hydrodynamics the Riemann problem determines the evolution of a fluid which is initially characterized by two states having different rest-mass density, pressure, and velocity. When the fluid is allowed to relax, one of three possible wave patterns is produced, corresponding to the propagation in opposite directions of two… (More)

- Olindo Zanotti, Michael Dumbser
- Computer Physics Communications
- 2015

We present a comprehensive numerical study of the dynamics of relativistic axisymmetric accretion tori with a power-law distribution of specific angular momentum orbiting in the background spacetime of a Kerr black hole. By combining general relativistic hydrodynamics simulations with a linear perturbative approach we investigate the main dynamical… (More)