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Numerical evolution of the spherically symmetric, massive Klein-Gordon field is presented using a new adaptive mesh refinement (AMR) code with fourth order discretization in space and time, along with compactification in space. The system…

High Energy Physics - Theory · Physics 2009-11-11 Peter Csizmadia

Current Adaptive Mesh Refinement (AMR) simulations require algorithms that are highly parallelized and manage memory efficiently. As compute engines grow larger, AMR simulations will require algorithms that achieve new levels of efficient…

Solar and Stellar Astrophysics · Physics 2015-03-19 Jonathan J. Carroll-Nellenback , Brandon Shroyer , Adam Frank , Chen Ding

We present here the first systematic treatment of the problems posed by the visualization and analysis of large-scale, parallel adaptive mesh refinement (AMR) simulations on an Eulerian grid. When compared to those obtained by constructing…

Graphics · Computer Science 2017-02-17 Guénolé Harel , Jacques-Bernard Lekien , Philippe P. Pébaÿ

A computational technique has been developed to perform compressible flow simulations involving moving boundaries using an embedded boundary approach within the block-structured adaptive mesh refinement framework of AMReX. A conservative,…

Fluid Dynamics · Physics 2022-07-13 Mahesh Natarajan , Ray Grout , Weiqun Zhang , Marc Day

We study the statistical properties of turbulence driven by structure formation in a massive merging galaxy cluster at z=0. The development of turbulence is ensured as the largest eddy turnover time is much shorter than the Hubble time…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Francesco Miniati

In the context of the interaction between a moving plane shock wave and an inclined wall (wedge), it is possible to distinguish four distinct shock reflection configurations. These shock wave reflections, which depend on the characteristics…

Fluid Dynamics · Physics 2023-09-13 Sebastian Valencia , Cesar Celis , Andres Mendiburu , Luis Bravo , Prashant Khare

We present results of large-scale three-dimensional simulations of weakly magnetized supersonic turbulence at grid resolutions up to 1024^3 cells. Our numerical experiments are carried out with the Piecewise Parabolic Method on a Local…

Astrophysics of Galaxies · Physics 2009-08-13 Alexei G. Kritsuk , Sergey D. Ustyugov , Michael L. Norman , Paolo Padoan

I consider techniques for Berger-Oliger adaptive mesh refinement (AMR) when numerically solving partial differential equations with wave-like solutions, using characteristic (double-null) grids. Such AMR algorithms are naturally recursive,…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Jonathan Thornburg

I survey the use and impact of adaptive mesh refinement (AMR) simulations in numerical astrophysics and cosmology. Two basic techniques are in use to extend the dynamic range of Eulerian grid simulations in multi-dimensions: cell…

Astrophysics · Physics 2007-05-23 Michael L. Norman

We investigate turbulence generated by cosmological structure formation by means of large eddy simulations using adaptive mesh refinement. In contrast to the widely used implicit large eddy simulations, which resolve a limited range of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 W. Schmidt , A. S. Almgren , H. Braun , J. F. Engels , J. C. Niemeyer , J. Schulz , R. R. Mekuria , A. J. Aspden , J. B. Bell

Supersonic turbulence is a large reservoir of suprathermal energy in the interstellar medium. Its dissipation, because it is intermittent in space and time, can deeply modify the chemistry of the gas. We further explore a hybrid method to…

Astrophysics of Galaxies · Physics 2009-11-13 Benjamin Godard , Edith Falgarone , Guillaume Pineau Des Forêts

We study, by means of adaptive mesh refinement hydro- and magnetohydrodynamical simulations that cover a wide range of scales (from kpc to sub-parsec), the dimension of the most dissipative structures and the injection scale of the…

Astrophysics · Physics 2009-11-13 Miguel A. de Avillez , Dieter Breitschwerdt

We carry out adaptive mesh refinement (AMR) cosmological simulations of Milky-Way mass halos in order to investigate the formation of disk-like galaxies in a {\Lambda}-dominated Cold Dark Matter model. We evolve a suite of five halos to z =…

Astrophysics of Galaxies · Physics 2015-06-03 Cameron Hummels , Greg Bryan

We study the properties of chaotic motions in the intra cluster medium using a set of 20 galaxy clusters simulated with large dynamical range, using the Adaptive Mesh Refinement code ENZO (e.g. Norman et al.2007). The adopted setup allows…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 F. Vazza , G. Brunetti , C. Gheller , R. Brunino , M. Brüggen

Computationally solving the equations of elasticity is a key component in many materials science and mechanics simulations. Phenomena such as deformation-induced microstructure evolution, microfracture, and microvoid nucleation are examples…

Computational Engineering, Finance, and Science · Computer Science 2021-12-08 Brandon Runnels , Vinamra Agrawal , Weiqun Zhang , Ann Almgren

In the last decade, progresses in additive manufacturing (AM) have paved the way for optimized heat exchangers, whose disruptive design will depend on predictive numerical simulations. Typical AM rough surfaces show limited resemblance to…

Fluid Dynamics · Physics 2023-05-10 Himani Garg , Lei Wang , Guillaume Sahut , Christer Fureby

The development of turbulence closure models, parametrizing the influence of small non-resolved scales on the dynamics of large resolved ones, is an outstanding theoretical challenge with vast applicative relevance. We present a closure,…

Fluid Dynamics · Physics 2024-06-26 Giulio Ortali , Alessandro Corbetta , Gianluigi Rozza , Federico Toschi

Numerical effects are known to plague adaptive mesh refinement (AMR) codes when treating massive particles, e.g. representing massive black holes (MBHs). In an evolving background, they can experience strong, spurious perturbations and then…

Astrophysics of Galaxies · Physics 2015-06-23 Alessandro Lupi , Francesco Haardt , Massimo Dotti

We extend the entropy-stable oscillation-eliminating discontinuous Galerkin spectral element method (ES-OEDG) on curvilinear meshes to adaptive mesh refinement (AMR) grids with nonconforming interfaces. The formulation targets…

Numerical Analysis · Mathematics 2026-04-24 Jieling Yang , Guosheng Fu

Structured Adaptive Mesh Refinement (Structured AMR) enables simulations to adapt the domain resolution to save computation and storage, and has become one of the dominant data representations used by scientific simulations; however,…

Graphics · Computer Science 2020-09-08 Ingo Wald , Stefan Zellmann , Will Usher , Nate Morrical , Ulrich Lang , Valerio Pascucci