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We have developed a new massively-parallel radiation-hydrodynamics code (Cosmos) for Newtonian and relativistic astrophysical problems that also includes radiative cooling, self-gravity, and non-equilibrium, multi-species chemistry. Several…

Astrophysics · Physics 2009-11-07 Peter Anninos , P. Chris Fragile , Stephen D. Murray

A new N-body and hydrodynamical code, called RAMSES, is presented. It has been designed to study structure formation in the universe with high spatial resolution. The code is based on Adaptive Mesh Refinement (AMR) technique, with a tree…

Astrophysics · Physics 2014-10-13 Romain Teyssier

Various formulations of smooth-particle hydrodynamics (SPH) have been proposed, intended to resolve certain difficulties in the treatment of fluid mixing instabilities. Most have involved changes to the algorithm which either introduce…

Instrumentation and Methods for Astrophysics · Physics 2018-06-19 Philip F. Hopkins

Several formulations of a local geometric measure-type condition are imposed on super-level sets of mild solutions to the homogeneous incompressible 3D magnetohydrodynamical system with bounded initial data to prevent finite-time…

Analysis of PDEs · Mathematics 2012-04-23 Zachary Bradshaw

We present a detailed comparison between the well-known SPH code GADGET and the new moving-mesh code AREPO on a number of hydrodynamical test problems. Through a variety of numerical experiments we establish a clear link between test…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Debora Sijacki , Mark Vogelsberger , Dusan Keres , Volker Springel , Lars Hernquist

We present a new formulation of the equations of motion used in smoothed particle hydrodynamics (SPH). The spatial resolution in SPH is determined by the smoothing length, $h$, and it has become common practice for each particle to be given…

Astrophysics · Physics 2015-06-24 Richard P. Nelson , John C. B. Papaloizou

We present results based on an implementation of the Godunov Smoothed Particle Hydrodynamics (GSPH), originally developed by Inutsuka (2002), in the GADGET-3 hydrodynamic code. We first review the derivation of the GSPH discretization of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Giuseppe Murante , Stefano Borgani , Riccardo Brunino , Suneg-Hoon Cha

We present a new numerical code which solves the general relativistic magneto-hydrodynamics (GRMHD) equations coupled to the Einstein equations for the evolution of a dynamical spacetime within the conformally-flat approximation. This code…

Astrophysics · Physics 2009-11-13 Pablo Cerdá-Durán , José A. Font , Luis Antón , Ewald Müller

Standard formulations of smoothed particle hydrodynamics (SPH) are unable to resolve mixing at fluid boundaries. We use an error and stability analysis of the generalised SPH equations of motion to prove that this is due to two distinct…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 J. I. Read , T. Hayfield , O. Agertz

We present and test a code for two-fluid simulations of galaxy formation, one of the fluids being collision-less. The hydrodynamical evolution is solved through the SPH method while gravitational forces are calculated using a tree method.…

Astrophysics · Physics 2007-05-23 John Hultman , Daniel Kaellander

We present a new magnetohydrodynamic (MHD) simulation code with the aim of providing accurate numerical solutions to astrophysical phenomena where discontinuities, shock waves, and turbulence are inherently important. The code implements…

Present investigation devoted to the dynamical study of Relativistic Hydrodynamics with some thermodynamical characteristics in $f(R,G)$ gravity towards spatially homogeneous isotropic cosmological model filled with isotropic fluid. We…

General Physics · Physics 2020-04-09 S. H. Shekh , Simran Arora , V. R. Chirde , P. K. Sahoo

For simulations that deal only with dark matter or stellar systems, the conventional N-body technique is fast, memory efficient, and relatively simple to implement. However when including the effects of gas physics, mesh codes are at a…

Instrumentation and Methods for Astrophysics · Physics 2012-11-21 Nigel L. Mitchell , Eduard I. Vorobyov , Gerhard Hensler

Numerical simulations have become one of the key tools used by theorists in all the fields of astrophysics and cosmology. The development of modern tools that target the largest existing computing systems and exploit state-of-the-art…

The paper develops high-order physical-constraint-preserving (PCP) methods for general relativistic hydrodynamic (GRHD) equations, equipped with a general equation of state. Here the physical constraints, describing the admissible states of…

Numerical Analysis · Mathematics 2017-05-10 Kailiang Wu

A multi-symplectic formulation of ideal magnetohydrodynamics (MHD) is developed based on a Clebsch variable variational principle in which the Lagrangian consists of the kinetic minus the potential energy of the MHD fluid modified by…

Mathematical Physics · Physics 2019-02-20 G. M. Webb , J. F. McKenzie , G. P. Zank

We present a new implementation of the SFUMATO code, called SFUMATO#, for solving self-gravitational radiation hydrodynamics problems using adaptive mesh refinement (AMR) with the CUDA/HIP programming frameworks. The code incorporates a…

Astrophysics of Galaxies · Physics 2026-05-22 Hajime Fukushima , Tomoaki Matsumoto

We discuss cosmological hydrodynamic simulations of galaxy formation performed with the new moving-mesh code AREPO, which promises higher accuracy compared with the traditional SPH technique that has been widely employed for this problem.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Dusan Keres , Mark Vogelsberger , Debora Sijacki , Volker Springel , Lars Hernquist

This paper develops the genuinely multidimensional HLL Riemann solver and finite volume scheme for the two-dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies its physical-constraint-preserving (PCP)…

Numerical Analysis · Mathematics 2020-11-03 Dan Ling , Huazhong Tang

This is the second in a series of papers on the construction and validation of a three-dimensional code for the solution of the coupled system of the Einstein equations and of the general relativistic hydrodynamic equations, and on the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Font , T. Goodale , S. Iyer , M. Miller , L. Rezzolla , E. Seidel , N. Stergioulas , W. Suen , M. Tobias