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In this paper, we propose a robust solver for the finite element discrete problem of the stationary incompressible magnetohydrodynamic (MHD) equations in three dimensions. By the mixed finite element method, both the velocity and the…

数值分析 · 数学 2017-10-23 Lingxiao Li , Weiying Zheng

We present an adaptive multiresolution method for the numerical simulation of ideal magnetohydrodynamics in two space dimensions. The discretization uses a finite volume scheme based on a Cartesian mesh and an explicit compact Rung-Kutta…

I present HPRMAT, a high-performance solver library for the linear systems arising in R-matrix coupled-channel scattering calculations in nuclear physics. Designed as a drop-in replacement for the linear algebra routines in existing…

计算物理 · 物理学 2025-12-15 Jin Lei

We developed a new general-relativistic quantum-kinetics neutrino transport code, GRQKNT, for numerical studies of quantum kinetics of non-equilibrium neutrinos in six-dimensional phase space. This code is intended for use in both local and…

高能天体物理现象 · 物理学 2022-10-05 Hiroki Nagakura

We present a new massively parallel code for N-body and cosmological hydrodynamical simulations of modified gravity models. The code employs a multigrid-accelerated Newton-Gauss-Seidel relaxation solver on an adaptive mesh to efficiently…

宇宙学与河外天体物理 · 物理学 2015-06-15 Ewald Puchwein , Marco Baldi , Volker Springel

We develop a numerical scheme for solving a fully special relativistic resistive radiation magnetohydrodynamics. Our code guarantees conservations of total mass, momentum and energy. Radiation energy density and radiation flux are…

高能天体物理现象 · 物理学 2019-08-19 Hiroyuki R. Takahashi , Ken Ohsuga

We present a numerical code for radiation hydrodynamics designed as a module for the freely available PLUTO code. We adopt a gray approximation and include radiative transfer following a two-moment approach by imposing the M1 closure to the…

地球与行星天体物理 · 物理学 2021-01-20 Julio David Melon Fuksman , Hubert Klahr , Mario Flock , Andrea Mignone

We present the implementation of a three-dimensional, second order accurate Godunov-type algorithm for magneto-hydrodynamic (MHD), in the adaptive-mesh-refinement (AMR) cosmological code {\tt CHARM}. The algorithm is based on the full…

天体物理仪器与方法 · 物理学 2015-05-27 Francesco Miniati , Daniel F. Martin

We present a new implementation of the numerical integration of the classical, gravitational, N-body problem based on a high order Hermite's integration scheme with block time steps, with a direct evaluation of the particle-particle forces.…

天体物理仪器与方法 · 物理学 2015-06-05 R. Capuzzo-Dolcetta , M. Spera , D. Punzo

We describe a method of implementing the axisymmetric evolution of general-relativistic hydrodynamics and magnetohydrodynamics through modification of a multipatch grid scheme. In order to ease the computational requirements required to…

Axisymmetric magnetohydrodynamics (MHD) can be invoked for describing astrophysical magnetized flows and formulated to model stellar magnetospheres including main sequence stars (e.g. the Sun), compact stellar objects [e.g. magnetic white…

太阳与恒星天体物理 · 物理学 2014-03-05 Lile Wang , Yu-Qing Lou

We present a novel method of magnetohydrodynamics (MHD) within the smoothed particle hydrodynamics scheme using the Geometric Density average force expression (GDSPH). GDSPH has recently been shown to reduce the leading order errors and…

天体物理仪器与方法 · 物理学 2020-07-31 Robert Wissing , Sijing Shen

In the interior of neutron stars, the induction equation regulates the long-term evolution of the magnetic fields by means of resistivity, Hall dynamics and ambipolar diffusion. Despite the apparent simplicity and compactness of the…

Our aim is to study the thermal and dynamical evolution of protoplanetary disks in global simulations, including the physics of radiation transfer and magneto-hydrodynamic (MHD) turbulence caused by the magneto-rotational instability. We…

地球与行星天体物理 · 物理学 2015-06-17 M. Flock , S. Fromang , M. González , B. Commerçon

We present bhlight, a numerical scheme for solving the equations of general relativistic radiation magnetohydrodynamics (GRRMHD) using a direct Monte Carlo solution of the frequency-dependent radiative transport equation. bhlight is…

高能天体物理现象 · 物理学 2015-05-20 Benjamin R. Ryan , Joshua C. Dolence , Charles F. Gammie

Fully realizing the potential of multigrid solvers often requires custom algorithms for a given application model, discretizations and even regimes of interest, despite considerable effort from the applied math community to develop fully…

等离子体物理 · 物理学 2023-02-22 Mark F. Adams , Matthew K. Knepley

We propose an optimally performant fully implicit algorithm for the Hall magnetohydrodynamics (HMHD) equations based on multigrid-preconditioned Jacobian-free Newton-Krylov methods. HMHD is a challenging system to solve numerically because…

等离子体物理 · 物理学 2024-07-10 Luis Chacon

Context. Radiation plays a significant role in solar and astrophysical environments as it may constitute a sizeable fraction of the energy density, momentum flux, and the total pressure. Modelling the dynamic interaction between radiation…

太阳与恒星天体物理 · 物理学 2025-04-16 Nishant Narechania , Rony Keppens , Asif ud-Doula , Nicolas Moens , Jon Sundqvist

We present a new three-dimensional general-relativistic hydrodynamic evolution scheme coupled to dynamical spacetime evolutions which is capable of efficiently simulating stellar collapse, isolated neutron stars, black hole formation, and…

高能天体物理现象 · 物理学 2013-09-23 C. Reisswig , R. Haas , C. D. Ott , E. Abdikamalov , P. Moesta , D. Pollney , E. Schnetter

We assemble the equations of general relativistic magnetohydrodynamics (MHD) in 3+1 form. These consist of the complete coupled set of Maxwell equations for the electromagnetic field, Einstein's equations for the gravitational field, and…

天体物理学 · 物理学 2009-11-07 Thomas W. Baumgarte , Stuart L. Shapiro