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We perform long-term general relativistic neutrino radiation hydrodynamics simulations (in axisymmetry) for a massive neutron star (MNS) surrounded by a torus, which is a canonical remnant formed after the binary neutron star merger. We…

High Energy Astrophysical Phenomena · Physics 2018-06-27 Sho Fujibayashi , Kenta Kiuchi , Nobuya Nishimura , Yuichiro Sekiguchi , Masaru Shibata

We perform a general-relativistic magnetohydrodynamics simulation for $\approx 30$ ms after merger of a binary neutron star to a remnant massive neutron star (RMNS) with a high spatial resolution of the finest grid resolution $12.5$ m.…

High Energy Astrophysical Phenomena · Physics 2018-06-20 Kenta Kiuchi , Koutarou Kyutoku , Yuichiro Sekiguchi , Masaru Shibata

We present a meshless numerical method for simulating the dynamics of axisymmetric vesicles in a viscous medium. Key innovations include: (1) adaptive reparameterization based on local length scales, reducing the number of required…

Computational Physics · Physics 2026-04-17 M. A. Shishkin

We numerically construct dynamical asymptotically-AdS$_4$ metrics by evaluating the fluid/gravity metric on numerical solutions of dissipative hydrodynamics in (2+1) dimensions. The resulting numerical metrics satisfy Einstein's equations…

High Energy Physics - Theory · Physics 2014-11-10 Allan Adams , Nathan Benjamin , Arvin Moghaddam , Wojciech Musial

Numerical simulation is an essential tool for many applications involving subsurface flow and transport, yet often suffers from computational challenges due to the multi-physics nature, highly non-linear governing equations, inherent…

Fluid Dynamics · Physics 2021-08-11 Gege Wen , Catherine Hay , Sally M. Benson

We report on numerical results from a revised hydrodynamic simulation of binary neutron-star orbits near merger. We find that the correction recently identified by Flanagan significantly reduces but does not eliminate the neutron-star…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. J. Mathews , J. R. Wilson

The hydrodynamic processes operating within stellar interiors are far richer than represented by the best stellar evolution model available. Although it is now widely understood, through astrophysical simulation and relevant terrestrial…

Astrophysics · Physics 2009-11-13 Casey A. Meakin

We present a numerical solver for plasma dynamics simulations in Hall magnetohydrodynamic (HMHD) approximation in one, two and three dimensions. We consider both isotropic and anisotropic thermal pressure cases, where a general gyrotropic…

Computational Physics · Physics 2016-10-31 Marek Strumik , Krzysztof Stasiewicz

In this work we present a set of binary neutron star (BNS) merger simulations including the net muon fraction as an additional degree-of-freedom in the equation of state (EoS) and hydrodynamics evolution using the numerical-relativity code…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Henrique Gieg , Federico Schianchi , Maximiliano Ujevic , Tim Dietrich

The role of hydrodynamic mixing in astrophysics is reviewed, emphasizing connections with laser physics experiments and inertial confinement fusion (ICF). Computer technology now allows two dimensional (2D) simulations, with complex…

Astrophysics · Physics 2009-10-31 David Arnett

We introduce an extension to the AthenaK code for general-relativistic magnetohydrodynamics (GRMHD) in dynamical spacetimes using a 3+1 conservative Eulerian formulation. Like the fixed-spacetime GRMHD solver, we use standard finite-volume…

High Energy Astrophysical Phenomena · Physics 2025-01-15 Jacob Fields , Hengrui Zhu , David Radice , James M. Stone , William Cook , Sebastiano Bernuzzi , Boris Daszuta

The characteristic decomposition for GRMHD is not known in a form useful for current numerical simulations. This prevents us from using the most accurate known computational methods, such as full-wave Riemann solvers. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Saul A. Teukolsky

The status of the hydrodynamical modelling of nonlinear multi-mode stellar pulsations is discussed. The hydrodynamical modelling of steady double-mode (DM) pulsations has been a long-standing quest that is finally being concluded. Recent…

Astrophysics · Physics 2016-01-27 Zoltan Kollath , J. Robert Buchler

Resistive magnetohydrodynamics is thought to play a key role in transient astrophysical phenomena such as black hole flares and neutron star magnetospheres. When performing numerical simulations of resistive magnetohydrodynamics, one is…

High Energy Astrophysical Phenomena · Physics 2025-11-03 Ruben Lier , Akash Jain , Jay Armas , Oliver Porth

In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inherent in shallow water systems, particularly suited for…

Numerical Analysis · Mathematics 2025-05-14 Mirco Ciallella , Lorenzo Micalizzi , Victor Michel-Dansac , Philipp Öffner , Davide Torlo

We develop a new formalism to study the dynamics of fluid polytropes in three dimensions. The stars are modeled as compressible ellipsoids and the hydrodynamic equations are reduced to a set of ordinary differential equations for the…

Astrophysics · Physics 2009-10-22 Dong Lai , Frederic A. Rasio , Stuart L. Shapiro

In magnetohydrodynamics (MHD), the magnetic field is evolved by the induction equation and coupled to the gas dynamics by the Lorentz force. We perform numerical smoothed particle magnetohydrodynamics (Spmhd) simulations and study the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 F. A. Stasyszyn , K. Dolag , A. M. Beck

We present three-dimensional, nonrelativistic, hydrodynamic simulations of bow shocks in pulsar wind nebulae. The simulations are performed for a range of initial and boundary conditions to quantify the degree of asymmetry produced by…

Astrophysics · Physics 2008-11-26 M. Vigelius , A. Melatos , S. Chatterjee , B. M. Gaensler , P. Ghavamian

Turbulent accretion disks threaded by a large-scale vertical field near equipartition can drive tenuous and fast self-confined jets. Self-similar solutions of these jet-emitting disks (JEDs) have been known for a long time and provide the…

High Energy Astrophysical Phenomena · Physics 2026-03-31 N. Zimniak , C. Zanni , J. Ferreira

Designing efficient and high-accuracy numerical methods for complex dynamic incompressible magnetohydrodynamics (MHD) equations remains a challenging problem in various analysis and design tasks. This is mainly due to the nonlinear coupling…

Numerical Analysis · Mathematics 2023-11-28 Xiaofei Guan , Boya Hu , Shipeng Mao , Xintong Wang , Zihao Yang