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In this paper, the general procedure to solve the General Relativistic Hydrodynamical(GRH) equations with Adaptive-Mesh Refinement (AMR) is presented. In order to achieve, the GRH equations are written in the conservation form to exploit…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Orhan Donmez

Aims. The importance of radiation to the physical structure of protoplanetary disks cannot be understated. However, protoplanetary disks evolve with time, and so to understand disk evolution and by association, disk structure, one should…

Instrumentation and Methods for Astrophysics · Physics 2015-02-04 J. P. Ramsey , C. P. Dullemond

A new code for astrophysical magnetohydrodynamics (MHD) is described. The code has been designed to be easily extensible for use with static and adaptive mesh refinement. It combines higher-order Godunov methods with the constrained…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas A. Gardiner , Peter Teuben , John F. Hawley , Jacob B. Simon

Radiation-hydrodynamics (RHD) determines the bulk evolution and observable emission in a wide variety of high-energy astrophysical phenomena. Due to their complexity, RHD problems must usually be studied through numerical simulation. We…

High Energy Astrophysical Phenomena · Physics 2026-03-20 Itamar Giron , Menahem Krief , Nicholas C. Stone , Elad Steinberg

Solving the problem of fast eruptive events in magnetically dominated astrophysical plasmas requires the use of particularly well adapted numerical tools. Indeed, the central mechanism based on magnetic reconnection is determined by a…

High Energy Astrophysical Phenomena · Physics 2019-08-07 Hubert Baty

Magnetohydrodynamic (MHD) effects play a key role in the design and operation of nuclear fusion systems, where electrically conducting fluids (such as liquid metals or molten salts in reactor blankets) interact with magnetic fields of…

Machine Learning · Computer Science 2026-03-12 M. Lo Verso , C. Introini , E. Cervi , L. Savoldi , J. N. Kutz , A. Cammi

We study the consistency and convergence of smoothed particle hydrodynamics (SPH), as a function of the interpolation parameters, namely the number of particles $N$, the number of neighbors $n$, and the smoothing length $h$, using…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 Ruslan Gabbasov , Leonardo Di G. Sigalotti , Fidel Cruz , J. Klapp , J. M. Ramírez-Velasquez

Some features of the physics of radiation-dominated shock waves are discussed with emphasis on the peculiarities which are important for correct numerical modeling of shock breakouts in supernova. With account of those peculiarities, a…

High Energy Astrophysical Phenomena · Physics 2015-06-12 A. G. Tolstov , S. I. Blinnikov , D. K. Nadyozhin

We describe an extension of the cosmological hydrodynamics code ENZO to include the self-consistent transport of ionizing radiation modeled in the flux-limited diffusion approximation. A novel feature of our algorithm is a coupled implicit…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Michael L. Norman , Daniel R. Reynolds , Geoffrey C. So

A crucial ingredient for numerically solving the 3D radiative transfer problem is the choice of the grid that discretizes the transfer medium. Many modern radiative transfer codes, whether using Monte Carlo or ray tracing techniques, are…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 W. Saftly , M. Baes , P. Camps

This report describes a new magnetohydrodynamic numerical model based on a hexagonal spherical geodesic grid. The model is designed to simulate astrophysical flows of partially ionized plasmas around a central compact object, such as a star…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 V. Florinski , X. Guo , D. S. Balsara , C. Meyer

Hydrodynamics And Radiation Diffusion} (HARD) is an open-source application for high-performance simulations of compressible hydrodynamics with radiation-diffusion coupling. Built on the FleCSI (Flexible Computational Science…

We describe the CRASH (Center for Radiative Shock Hydrodynamics) code, a block adaptive mesh code for multi-material radiation hydrodynamics. The implementation solves the radiation diffusion model with the gray or multigroup method and…

Solar and Stellar Astrophysics · Physics 2015-05-27 B. van der Holst , G. Toth , I. V. Sokolov , K. G. Powell , J. P. Holloway , E. S. Myra , Q. Stout , M. L. Adams , J. E. Morel , R. P. Drake

In this paper, we present a mathematical analysis of time-dependent $N$-body electronic systems and establish mixed regularity for the corresponding wavefunctions. Based on this, we develop sparse grid approximations to reduce computational…

Numerical Analysis · Mathematics 2025-09-16 Long Meng , Dexuan Zhou

In astrophysical systems, radiation-matter interactions are important in transferring energy and momentum between the radiation field and the surrounding material. This coupling often makes it necessary to consider the role of radiation…

High Energy Astrophysical Phenomena · Physics 2012-08-28 U. M. Noebauer , S. A. Sim , M. Kromer , F. K. Roepke , W. Hillebrandt

We present a new multi-fluid, grid MHD code PIERNIK, which is based on the Relaxing TVD scheme. The original scheme has been extended by an addition of dynamically independent, but interacting fluids: dust and a diffusive cosmic ray gas,…

Astrophysics · Physics 2010-05-31 Michał Hanasz , Kacper Kowalik , Dominik Wóltański , Rafał Pawłaszek

Topology identification (TI) is a key task for state estimation (SE) in distribution grids, especially the one with high-penetration renewables. The uncertainties, initiated by the time-series behavior of renewables, will almost certainly…

Applications · Statistics 2023-12-12 Xing He , Robert Qiu , Qian Ai , Tianyi Zhu

We present a novel approach to accelerate astrophysical hydrodynamical simulations. In astrophysical many-body simulations, GRAPE (GRAvity piPE) system has been widely used by many researchers. However, in the GRAPE systems, its function is…

Astrophysics · Physics 2009-11-11 N. Nakasato , T. Hamada , T. Fukushige

We have invented a new algorithm to use with self-gravitating SPH Star Formation codes. The new method is designed to enable SPH simulations to self-regulate their numerical resolution, i.e. the number of SPH particles; the latter is…

Astrophysics · Physics 2007-05-23 Spyridon Kitsionas

Building a self-gravitating hydrodynamic code as a combination of a hydrodynamic solver and a gravity solver is discussed. We show that straightforward combining those two solvers generally leads to a code that does not conserve energy…

Astrophysics · Physics 2009-10-28 Nickolay Y. Gnedin , Edmund Bertschinger