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We discuss some typical problems related to numerical hydrodynamics of a dense interstellar medium. A newly developed hydrodynamical code based on adaptive mesh refinement technique is presented and applied to simulate the evolution of a…

Astrophysics · Physics 2007-05-23 Tomasz Plewa , Michal Rozyczka

The interaction of two colliding Alfv\'en wave packets is here described by means of magnetohydrodynamics (MHD) and hybrid kinetic numerical simulations. The MHD evolution revisits the theoretical insights described by Moffatt, Parker,…

Charges on the dust grains immersed in a plasma vary in time. We follow the hydrodynamic approach to obtain dispersion relations for some low frequency electrostatic modes, taking into account charge fluctuation on the dust. We have used…

Plasma Physics · Physics 2007-05-23 Bizhan Farokhi

This paper presents applications of weighted meshless scheme for conservation laws to the Euler equations and the equations of ideal magnetohydrodynamics. The divergence constraint of the latter is maintained to the truncation error by a…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Evghenii Gaburov , Keigo Nitadori

In this paper we propose a novel thermodynamically compatible finite volume scheme for the numerical solution of the equations of magnetohydrodynamics (MHD) in one and two space dimensions. As shown by Godunov in 1972, the MHD system can be…

Numerical Analysis · Mathematics 2023-01-23 Saray Busto , Michael Dumbser

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener

In this article, we show that the magneto-hydrodynamic system (MHD) in $\R^N$ with variable density, variable viscosity and variable conductivity has a local weak solution in the Besov space $\dot B^{\frac{N}{p_1}}_{p_1,1}(\R^N)\times\dot…

Analysis of PDEs · Mathematics 2008-06-23 Hammadi Abidi , Marius Paicu

A theoretical model of quasi-stationary, two-dimensional magnetic reconnection is presented in the framework of incompressible two-fluid magnetohydrodynamics (MHD). The results are compared with recent numerical simulations and experiment.

Solar and Stellar Astrophysics · Physics 2009-12-11 Leonid M. Malyshkin

Many systems of current interest in relativistic astrophysics require a knowledge of radiative transfer in a magnetized gas flowing in a strongly-curved, dynamical spacetime. Such systems include coalescing compact binaries containing…

Astrophysics · Physics 2008-11-26 Brian D. Farris , Tsz Ka Li , Yuk Tung Liu , Stuart L. Shapiro

Obtaining a stable magnetohydrodynamical (MHD) formalism in SPH - i.e. smoothed particle magnetohydrodynamics (SPMHD) - has proven remarkably difficult. To implement MHD requires two steps: a modification to the momentum equation and an…

Instrumentation and Methods for Astrophysics · Physics 2016-06-23 Benjamin T. Lewis , Matthew R. Bate , Terrence S. Tricco

We describe a major update to the public GIZMO code. GIZMO has been used in simulations of cosmology; galaxy and star formation and evolution; black hole accretion and feedback; proto-stellar disk dynamics and planet formation; fluid…

Instrumentation and Methods for Astrophysics · Physics 2017-12-06 Philip F. Hopkins

Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

We present a description of the adaptive mesh refinement (AMR) implementation of the PLUTO code for solving the equations of classical and special relativistic magnetohydrodynamics (MHD and RMHD). The current release exploits, in addition…

High Energy Astrophysical Phenomena · Physics 2015-05-30 A. Mignone , C. Zanni , P. Tzeferacos , B. van Straalen , P. Colella , G. Bodo

We present 2D MHD numerical simulations of tearing-unstable current sheets coupled to a population of non-thermal test-particles, in order to address the problem of numerical convergence with respect to grid resolution, numerical method and…

Plasma Physics · Physics 2021-10-15 Eleonora Puzzoni , Andrea Mignone , Gianluigi Bodo

This paper describes a multidimensional hydrodynamic code which can be used for studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws based…

Astrophysics · Physics 2009-11-13 Eunwoo Choi , Dongsu Ryu

Magnetic reconnection and non-thermal particle distributions associated with current-driven instabilities are investigated by means of resistive magnetohydrodynamics (MHD) simulations combined with relativistic test particle methods. We…

High Energy Astrophysical Phenomena · Physics 2017-04-19 Bart Ripperda , Oliver Porth , Chun Xia , Rony Keppens

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where {\it all the particles are different} (APD). The equilibrium properties of this APD system were studied in our earlier work…

Soft Condensed Matter · Physics 2016-06-22 Lenin S. Shagolsem , Yitzhak Rabin

The magnetically polarized matter in astrophysical systems may be relevant in some magnetically dominated regions. For instance, the funnel that is generated in some highly magnetized disks configurations whereby relativistic jets are…

High Energy Astrophysical Phenomena · Physics 2018-07-25 Oscar M. Pimentel , F. D. Lora-Clavijo , Guillermo A. González

We adapt a modern scheme of smoothed particle hydrodynamics (SPH) to our tree N-body/SPH galactic chemodynamics code GCD+. The applied scheme includes imple- mentations of the artificial viscosity switch and artificial thermal conductivity…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Daisuke Kawata , Takashi Okamoto , Brad K. Gibson , David J. Barnes , Renyue Cen

The paper presents two contributions in the context of the numerical simulation of magnetized fluid dynamics. First, we show how to extend the ideal magnetohydrodynamics (MHD) equations with an inbuilt magnetic field divergence cleaning…

Computational Physics · Physics 2018-04-20 Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch , Marvin Bohm
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