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We present a numerical scheme, implemented in the cosmological adaptive mesh refinement code ENZO, to model the injection of Cosmic Ray (CR) particles at shocks, their advection and their dynamical feedback on thermal baryonic gas. We give…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 F. Vazza , M. Bruggen , C. Gheller , G. Brunetti

We present a fourth-order projection method with adaptive mesh refinement (AMR) for numerically solving the incompressible Navier-Stokes equations (INSE) with subcycling in time. Our method features (i) a reformulation of INSE so that the…

Numerical Analysis · Mathematics 2025-09-08 Shubo Zhao , Qinghai Zhang

Worldwide very long baseline radio interferometry arrays are expected to obtain horizon-scale images of supermassive black hole candidates as well as of relativistic jets in several nearby active galactic nuclei. This motivates the…

High Energy Astrophysical Phenomena · Physics 2019-09-11 Hector Olivares , Oliver Porth , Jordy Davelaar , Elias R. Most , Christian M. Fromm , Yosuke Mizuno , Ziri Younsi , Luciano Rezzolla

High-resolution simulations often rely on the Adaptive Mesh Resolution (AMR) technique to optimize memory consumption versus attainable precision. While this technique allows for dramatic improvements in terms of computing performance, the…

Data Structures and Algorithms · Computer Science 2013-01-03 Marc Labadens , Daniel Pomarède , Damien Chapon , Romain Teyssier , Frédéric Bournaud , Florent Renaud , Nicolas Grandjouan

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

Computational Physics · Physics 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

We examine the conditions under which binary and multiple stars may form out of turbulent molecular cloud cores using high resolution 3-D, adaptive mesh refinement (AMR) hydrodynamics (Truelove et al., 1997, 1998; Klein, 1999). We argue…

Astrophysics · Physics 2007-05-23 R. I Klein , R. T. Fisher , C. F. McKee

Magnetic fields are important contributers to the dynamics of collapsing molecular cloud cores, and can have a major effect on whether collapse results in a single protostar or fragmentation into a binary or multiple protostar system. New…

Solar and Stellar Astrophysics · Physics 2015-06-12 Alan P. Boss , Sandra A. Keiser

Mesh generation is essential for accurate and efficient computational fluid dynamics simulations. To resolve critical features in the flow, adaptive mesh refinement (AMR) is routinely employed in certain regions of the computational domain,…

Fluid Dynamics · Physics 2024-12-02 Yongzheng Zhu , Shiji Zhao , Yuanye Zhou , Hong Liang , Xin Bian

There is a great need in several areas of astrophysics and space-physics to carry out high order of accuracy, divergence-free MHD simulations on spherical meshes. This requires us to pay careful attention to the interplay between mesh…

Wave equations help us to understand phenomena ranging from earthquakes to tsunamis. These phenomena materialise over very large scales. It would be computationally infeasible to track them over a regular mesh. Yet, since the phenomena are…

Computational Engineering, Finance, and Science · Computer Science 2025-04-24 Timothy Stokes , Tobias Weinzierl , Han Zhang , Baojiu Li

We implement adaptive mesh refinement (AMR) simulations of global topological strings using the public code, GRChombo. We perform a quantitative investigation of massive radiation from single sinusoidally displaced string configurations,…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-10 Amelia Drew , E. P. S. Shellard

A new code, named MAP, is written in Fortran language for magnetohydrodynamics (MHD) calculation with the adaptive mesh refinement (AMR) and Message Passing Interface (MPI) parallelization. There are several optional numerical schemes for…

Instrumentation and Methods for Astrophysics · Physics 2012-04-27 R. L. Jiang , C. Fang , P. F. Chen

We describe an extension of the Enzo code to enable fully-coupled radiation hydrodynamical simulation of inhomogeneous reionization in large $\sim (100 Mpc)^3$ cosmological volumes with thousands to millions of point sources. We solve all…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Michael L. Norman , Daniel R. Reynolds , Geoffrey C. So , Robert P. Harkness , John H. Wise

We provide a road towards obtaining gravitational waveforms from inspiraling material binaries with an accuracy viable for third-generation gravitational wave detectors, without necessarily advancing computational hardware or…

General Relativity and Quantum Cosmology · Physics 2021-07-07 John Ryan Westernacher-Schneider

Numerical simulation of the complex plasma dynamics associated with high power, high frequency microwave breakdown at high pressures, leading to the formation of filamentary plasma structures such as self-organized plasma arrays, is a…

Plasma Physics · Physics 2025-05-13 Pratik Ghosh , Bhaskar Chaudhury

In this paper, we present a new method to perform numerical simulations of astrophysical MHD flows using the Adaptive Mesh Refinement framework and Constrained Transport. The algorithm is based on a previous work in which the MUSCL--Hancock…

Astrophysics · Physics 2009-11-11 S. Fromang , P. Hennebelle , R. Teyssier

We present numerical experiments for geophysics electromagnetic (EM) modeling based upon high-order edge elements and supervised $h+p$ refinement approaches on massively parallel computers. Our high-order $h+p$ refinement strategy is based…

As supercomputers advance towards exascale capabilities, computational intensity increases significantly, and the volume of data requiring storage and transmission experiences exponential growth. Adaptive Mesh Refinement (AMR) has emerged…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-20 Daoce Wang , Jesus Pulido , Pascal Grosset , Jiannan Tian , Sian Jin , Houjun Tang , Jean Sexton , Sheng Di , Zarija Lukić , Kai Zhao , Bo Fang , Franck Cappello , James Ahrens , Dingwen Tao

We aim at addressing the questions related to galaxy mass assembly through major and minor wet merging processes in the redshift range 1<z<2. A consequent fraction of Milky Way like galaxies are thought to have undergone an unstable clumpy…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 V. Perret , F. Renaud , B. Epinat , P. Amram , F. Bournaud , T. Contini , R. Teyssier , J. -C. Lambert

We study the star formation process at galactic scales and the role of rotation through numerical simulations of spiral and starburst galaxies using the adaptive mesh refinement code Enzo. We focus on the study of three integrated star…

Astrophysics of Galaxies · Physics 2017-01-03 José Utreras , Fernando Becerra , Andrés Escala