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A SECOND-ORDER DIVERGENCE-CONSTRAINED MULTIDIMENSIONAL NUMERICAL SCHEME FOR RELATIVISTIC TWO-FLUID ELECTRODYNAMICS

Takanobu Amano
The Astrophysical Journal 831 (1) 100 (2016)
DOI: 10.3847/0004-637X/831/1/100
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DEPENDENCE OF THE SATURATION LEVEL OF MAGNETOROTATIONAL INSTABILITY ON GAS PRESSURE AND MAGNETIC PRANDTL NUMBER

Takashi Minoshima, Shigenobu Hirose and Takayoshi Sano
The Astrophysical Journal 808 (1) 54 (2015)
DOI: 10.1088/0004-637X/808/1/54
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Radio light curves during the passage of cloud G2 near Sgr A*

Aleksander Sądowski, Lorenzo Sironi, David Abarca, et al.
Monthly Notices of the Royal Astronomical Society 432 (1) 478 (2013)
DOI: 10.1093/mnras/stt495
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GENASIS: GENERAL ASTROPHYSICAL SIMULATION SYSTEM. I. REFINABLE MESH AND NONRELATIVISTIC HYDRODYNAMICS

Christian Y. Cardall, Reuben D. Budiardja, Eirik Endeve and Anthony Mezzacappa
The Astrophysical Journal Supplement Series 210 (2) 17 (2014)
DOI: 10.1088/0067-0049/210/2/17
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Efficient conservative ADER schemes based on WENO reconstruction and space-time predictor in primitive variables

Olindo Zanotti and Michael Dumbser
Computational Astrophysics and Cosmology 3 (1) (2016)
DOI: 10.1186/s40668-015-0014-x
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A stable HLLC Riemann solver for relativistic magnetohydrodynamics

Jinho Kim and Dinshaw S. Balsara
Journal of Computational Physics 270 634 (2014)
DOI: 10.1016/j.jcp.2014.04.023
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THREE-DIMENSIONAL RELATIVISTIC MAGNETOHYDRODYNAMIC SIMULATIONS OF CURRENT-DRIVEN INSTABILITY. III. ROTATING RELATIVISTIC JETS

Yosuke Mizuno, Yuri Lyubarsky, Ken-Ichi Nishikawa and Philip E. Hardee
The Astrophysical Journal 757 (1) 16 (2012)
DOI: 10.1088/0004-637X/757/1/16
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Multidimensional numerical scheme for resistive relativistic magnetohydrodynamics

Serguei S. Komissarov
Monthly Notices of the Royal Astronomical Society 382 (3) 995 (2007)
DOI: 10.1111/j.1365-2966.2007.12448.x
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An implicit numerical algorithm for solving the general relativistic hydrodynamical equations around accreting compact objects

A. Hujeirat, M. Camenzind and B.W. Keil
New Astronomy 13 (6) 436 (2008)
DOI: 10.1016/j.newast.2007.12.004
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TESS: A RELATIVISTIC HYDRODYNAMICS CODE ON A MOVING VORONOI MESH

Paul C. Duffell and Andrew I. MacFadyen
The Astrophysical Journal Supplement Series 197 (2) 15 (2011)
DOI: 10.1088/0067-0049/197/2/15
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General relativistic magnetohydrodynamics in axisymmetric dynamical spacetimes: the X-ECHO code

N. Bucciantini and L. Del Zanna
Astronomy & Astrophysics 528 A101 (2011)
DOI: 10.1051/0004-6361/201015945
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GRHydro: a new open-source general-relativistic magnetohydrodynamics code for the Einstein toolkit

Philipp Mösta, Bruno C Mundim, Joshua A Faber, et al.
Classical and Quantum Gravity 31 (1) 015005 (2014)
DOI: 10.1088/0264-9381/31/1/015005
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Dynamo effect of spacetime curvature in force-free magnetospheres

Manuel Núñez
Physical Review D 85 (10) (2012)
DOI: 10.1103/PhysRevD.85.104038
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General-relativistic resistive magnetohydrodynamics in three dimensions: Formulation and tests

Kyriaki Dionysopoulou, Daniela Alic, Carlos Palenzuela, Luciano Rezzolla and Bruno Giacomazzo
Physical Review D 88 (4) (2013)
DOI: 10.1103/PhysRevD.88.044020
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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Michael Dumbser, Dinshaw S. Balsara, Eleuterio F. Toro and Claus-Dieter Munz
Journal of Computational Physics 227 (18) 8209 (2008)
DOI: 10.1016/j.jcp.2008.05.025
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Three-dimensional evolution of magnetic and velocity shear driven instabilities in a compressible magnetized jet

Lapo Bettarini, Simone Landi, Marco Velli and Pasquale Londrillo
Physics of Plasmas 16 (6) 062302 (2009)
DOI: 10.1063/1.3142467
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Magnetic effects on the low-T/|W|instability in differentially rotating neutron stars

Curran D. Muhlberger, Fatemeh Hossein Nouri, Matthew D. Duez, et al.
Physical Review D 90 (10) (2014)
DOI: 10.1103/PhysRevD.90.104014
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Foundations of Black Hole Accretion Disk Theory

Marek A. Abramowicz and P. Chris Fragile
Living Reviews in Relativity 16 (1) (2013)
DOI: 10.12942/lrr-2013-1
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A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch–Raviart Expansion and a Local Space–Time Discontinuous Galerkin Formulation

Claus R. Goetz and Michael Dumbser
Journal of Scientific Computing 69 (2) 805 (2016)
DOI: 10.1007/s10915-016-0218-5
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On the development of quasi-periodic oscillations in Bondi-Hoyle accretion flows

O. Dönmez, O. Zanotti and L. Rezzolla
Monthly Notices of the Royal Astronomical Society 412 (3) 1659 (2011)
DOI: 10.1111/j.1365-2966.2010.18003.x
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General relativistic radiation hydrodynamics of accretion flows - I. Bondi-Hoyle accretion

O. Zanotti, C. Roedig, L. Rezzolla and L. Del Zanna
Monthly Notices of the Royal Astronomical Society 417 (4) 2899 (2011)
DOI: 10.1111/j.1365-2966.2011.19451.x
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A new general relativistic magnetohydrodynamics code for dynamical spacetimes

P. Cerdá-Durán, J. A. Font, L. Antón and E. Müller
Astronomy & Astrophysics 492 (3) 937 (2008)
DOI: 10.1051/0004-6361:200810086
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Effect of an electromagnetic field on the spectra and elliptic flow of particles

Bohao Feng and Zeyan Wang
Physical Review C 95 (5) (2017)
DOI: 10.1103/PhysRevC.95.054912
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Fast reconnection in relativistic plasmas: the magnetohydrodynamics tearing instability revisited

L. Del Zanna, E. Papini, S. Landi, M. Bugli and N. Bucciantini
Monthly Notices of the Royal Astronomical Society 460 (4) 3753 (2016)
DOI: 10.1093/mnras/stw1242
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Grid-based Methods in Relativistic Hydrodynamics and Magnetohydrodynamics

José María Martí and Ewald Müller
Living Reviews in Computational Astrophysics 1 (1) (2015)
DOI: 10.1007/lrca-2015-3
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A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

Dinshaw S. Balsara and Jinho Kim
Journal of Computational Physics 312 357 (2016)
DOI: 10.1016/j.jcp.2016.02.001
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Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine

Michael Dumbser, Francesco Fambri, Maurizio Tavelli, Michael Bader and Tobias Weinzierl
Axioms 7 (3) 63 (2018)
DOI: 10.3390/axioms7030063
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A fourth-order accurate finite volume method for ideal MHD via upwind constrained transport

Kyle Gerard Felker and James M. Stone
Journal of Computational Physics 375 1365 (2018)
DOI: 10.1016/j.jcp.2018.08.025
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Fourth-order accurate finite-volume CWENO scheme for astrophysical MHD problems

Prabal Singh Verma, Jean-Mathieu Teissier, Oliver Henze and Wolf-Christian Müller
Monthly Notices of the Royal Astronomical Society 482 (1) 416 (2019)
DOI: 10.1093/mnras/sty2641
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Discontinuous Galerkin Methods for Compressible and Incompressible Flows on Space–Time Adaptive Meshes: Toward a Novel Family of Efficient Numerical Methods for Fluid Dynamics

Francesco Fambri
Archives of Computational Methods in Engineering (2019)
DOI: 10.1007/s11831-018-09308-6
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A variable high-order shock-capturing finite difference method with GP-WENO

Adam Reyes, Dongwook Lee, Carlo Graziani and Petros Tzeferacos
Journal of Computational Physics 381 189 (2019)
DOI: 10.1016/j.jcp.2018.12.028
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Jets From Young Stars III

A. Mignone and G. Bodo
Lecture Notes in Physics, Jets From Young Stars III 754 71 (2008)
DOI: 10.1007/978-3-540-76967-5_2
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Electromagnetic counterparts of recoiling black holes: general relativistic simulations of non-Keplerian discs

O. Zanotti, L. Rezzolla, L. Del Zanna and C. Palenzuela
Astronomy & Astrophysics 523 A8 (2010)
DOI: 10.1051/0004-6361/201014969
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A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism

Dinshaw S. Balsara, Takanobu Amano, Sudip Garain and Jinho Kim
Journal of Computational Physics 318 169 (2016)
DOI: 10.1016/j.jcp.2016.05.006
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A fifth-order finite difference scheme for hyperbolic equations on block-adaptive curvilinear grids

Yuxi Chen, Gábor Tóth and Tamas I. Gombosi
Journal of Computational Physics 305 604 (2016)
DOI: 10.1016/j.jcp.2015.11.003
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Heating of accretion-disk coronae and jets by general relativistic magnetohydrodynamic turbulence

Benjamin D. G. Chandran, Francois Foucart and Alexander Tchekhovskoy
Journal of Plasma Physics 84 (3) (2018)
DOI: 10.1017/S0022377818000387
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Parametric decay of parallel and oblique Alfvén waves in the expanding solar wind

L. Del Zanna, L. Matteini, S. Landi, A. Verdini and M. Velli
Journal of Plasma Physics 81 (1) 1 (2015)
DOI: 10.1017/S0022377814000579
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A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

Raphaël Loubère, Michael Dumbser and Steven Diot
Communications in Computational Physics 16 (3) 718 (2014)
DOI: 10.4208/cicp.181113.140314a
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