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Anisotropic mesh adaptation is studied for linear finite element solution of 3D anisotropic diffusion problems. The M-uniform mesh approach is used, where an anisotropic adaptive mesh is generated as a uniform one in the metric specified by…

Numerical Analysis · Mathematics 2020-04-20 Xianping Li , Weizhang Huang

The complexity of modern cosmic ray observatories and the rich data sets they capture often require a sophisticated software framework to support the simulation of physical processes, detector response, as well as reconstruction and…

Instrumentation and Methods for Astrophysics · Physics 2023-10-24 EUSO collaboration

A new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme is proposed in this paper, by embedding a recently introduced adaptive denoiser using the Schroedinger equation's solutions of quantum physics. The potential of…

Image and Video Processing · Electrical Eng. & Systems 2021-10-22 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

Modern cosmological observations allow us to study in great detail the evolution and history of the large scale structure hierarchy. The fundamental problem of accurate constraints on the cosmological parameters, within a given cosmological…

Astrophysics · Physics 2009-11-13 K. Dolag , S. Borgani , S. Schindler , A. Diaferio , A. M. Bykov

The design and implementation of a new framework for adaptive mesh refinement (AMR) calculations is described. It is intended primarily for applications in astrophysical fluid dynamics, but its flexible and modular design enables its use…

Instrumentation and Methods for Astrophysics · Physics 2020-07-08 James M. Stone , Kengo Tomida , Christopher J. White , Kyle G. Felker

N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Oliver Hahn , Raul E. Angulo

We compare two state-of-the-art numerical codes to study the overall accuracy in modeling the intergalactic medium and reproducing Lyman-$\alpha$ forest observables for DESI and high-resolution data sets. The codes employ different…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Solène Chabanier , J. D. Emberson , Zarija Lukić , Jesus Pulido , Salman Habib , Esteban Rangel , Jean Sexton , Nicholas Frontiere , Michael Buehlmann

We describe and test a new version of the adaptive mesh refinement (AMR) cosmological code MASCLET. The new version of the code includes all the ingredients of its previous version plus a description of the evolution of the magnetic field…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Vicent Quilis , José Ma. Martí , Susana Planelles

We parametrically solve the Boltzmann equations governing freeze-in dark matter (DM) in alternative cosmologies with Physics-Informed Neural Networks (PINNs), a mesh-free method. Through inverse PINNs, using a single DM experimental point…

High Energy Physics - Phenomenology · Physics 2025-07-04 M. P. Bento , H. B. Câmara , J. F. Seabra

Taking into account the temperature corrections of the energy equipartition law for the bits of information that are coarse-grained on the holographic screen leads to a modification of Einstein's gravitational field equations. In the very…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Kazem Rezazadeh

We present an effective Eulerian description, in the non-relativistic regime, of the growth of cosmological perturbations around a homogeneous but anisotropic Bianchi I spacetime background. We assume a small deviation from isotropy,…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-10 Juan P. Beltrán Almeida , Josué Motoa-Manzano , Jorge Noreña , Thiago S. Pereira , César A. Valenzuela-Toledo

We implement general relativistic hydrodynamics in the moving-mesh code AREPO. We also couple a solver for the Einstein field equations employing the conformal flatness approximation. The implementation is validated by evolving isolated…

High Energy Astrophysical Phenomena · Physics 2024-01-10 Georgios Lioutas , Andreas Bauswein , Theodoros Soultanis , Rüdiger Pakmor , Volker Springel , Friedrich K. Röpke

We present a new comprehensive model of the physics of galaxy formation designed for large-scale hydrodynamical simulations of structure formation using the moving mesh code AREPO. Our model includes primordial and metal line cooling with…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Mark Vogelsberger , Shy Genel , Debora Sijacki , Paul Torrey , Volker Springel , Lars Hernquist

In this paper, we implement the Adaptive Moving Mesh method (AMM) to the solution of initial value problems involving the Schr\"odinger equation, and more specifically the Schr\"odinger-Poisson system of equations. This method is based on…

General Relativity and Quantum Cosmology · Physics 2022-12-09 Erick Munive-Villa , Jessica N. Lopez-Sanchez , Ana A. Avilez-Lopez , F. S. Guzman

$N$-body simulation serves as a critical method for modeling cosmic evolution and poses a significant challenge in high-performance computing. We present CUBE2, an open-source cosmological $N$-body code emphasizing memory efficiency,…

Instrumentation and Methods for Astrophysics · Physics 2026-03-05 Hao-Ran Yu , Bing-Hang Chen , Kun Xu , Ming-Jie Sheng , Jiaxin Han , Yipeng Jing , Huahua Cui

A common approach for generating an anisotropic mesh is the M-uniform mesh approach where an adaptive mesh is generated as a uniform one in the metric specified by a given tensor M. A key component is the determination of an appropriate…

Numerical Analysis · Mathematics 2012-10-11 Lennard Kamenski

We present a new multigrid scheme for solving the Poisson equation with Dirichlet boundary conditions on a Cartesian grid with irregular domain boundaries. This scheme was developed in the context of the Adaptive Mesh Refinement (AMR)…

Computational Physics · Physics 2011-05-16 Thomas Guillet , Romain Teyssier

We build an emulator based on the polynomial chaos expansion (PCE) technique to efficiently model the non-linear effects associated with the clustering of the $k$-essence dark energy in the effective field theory (EFT) framework. These…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-20 A. R. Nouri-Zonoz , F. Hassani , M. Kunz

The mildly non-linear regime of cosmic structure formation holds much of the information that upcoming large-scale structure surveys aim to exploit, making fast and accurate predictions on these scales essential. We present the $N$-body…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Florian List , Oliver Hahn , Thomas Flöss , Lukas Winkler

We present a new fourth-order, finite-volume hydrodynamics code named Apsara. The code employs a high-order, finite-volume method for mapped coordinates with extensions for nonlinear hyperbolic conservation laws. Apsara can handle arbitrary…

Computational Physics · Physics 2017-01-20 Annop Wongwathanarat , Hannes Grimm-Strele , Ewald Müller
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