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In this article, we present a state-of-the-art algorithm for solving the relativistic viscous hydrodynamics equation with the QCD equation of state. The numerical method is based on the second-order Godunov method and has less numerical…

Nuclear Theory · Physics 2015-06-12 Yukinao Akamatsu , Shu-ichiro Inutsuka , Chiho Nonaka , Makoto Takamoto

Gamma-ray binaries are composed of a massive star and a rotation-powered pulsar with a highly relativistic wind. The collision between the winds from both objects creates a shock structure where particles are accelerated, resulting in the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Astrid Lamberts , Sebastien Fromang , Guillaume Dubus , Romain Teyssier

In this work a new finite element based Method of Relaxed Streamline Upwinding is proposed to solve hyperbolic conservation laws. Formulation of the proposed scheme is based on relaxation system which replaces hyperbolic conservation laws…

Numerical Analysis · Mathematics 2019-06-05 Ameya D. Jagtap

In Newtonian and relativistic hydrodynamics the Riemann problem consists of calculating the evolution of a fluid which is initially characterized by two states having different values of uniform rest-mass density, pressure and velocity.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Rezzolla , O. Zanotti

This work studies the effectiveness of several machine learning techniques for predicting extreme events occurring in the flow around an airfoil at low Reynolds. For certain Reynolds numbers the aerodynamic forces exhibit intermittent…

Fluid Dynamics · Physics 2021-08-13 Samuel H. Rudy , Themistoklis P. Sapsis

Analyzing large-scale data from simulations of turbulent flows is memory intensive, requiring significant resources. This major challenge highlights the need for data compression techniques. In this study, we apply a physics-informed Deep…

Fluid Dynamics · Physics 2022-07-26 Mohammadreza Momenifar , Enmao Diao , Vahid Tarokh , Andrew D. Bragg

Many traditional methods for wind turbine design and analysis assume quasi-steady aerodynamics, but atmospheric flows are inherently unsteady and modern turbine blades are susceptible to aeroelastic deformations. This study therefore…

Fluid Dynamics · Physics 2024-06-18 Nathaniel J. Wei , Omkar B. Shende

This paper examines an averaging technique in which the nonlinear flux term is expanded and the convective velocities are passed through a low-pass filter. It is the intent that this modification to the nonlinear flux terms will result in…

Fluid Dynamics · Physics 2009-07-02 Gregory Norgard , Kamran Mohseni

Granular material flowing on complex topographies are ubiquitous in industrial and geophysical situations. In this paper, we study the small-scale model of a granular layer flowing on a rough incline. The shape of a granular front is solved…

Soft Condensed Matter · Physics 2016-05-25 G Saingier , S Deboeuf , P. -Y Lagrée

[Background] Experimental data from heavy-ion experiments at RHIC-BNL and LHC-CERN are quantitatively described using relativistic fluid dynamics. Even p+A and p+p collisions show signs of collective behavior describable in the same manner.…

Nuclear Theory · Physics 2018-08-29 K. Gallmeister , H. Niemi , C. Greiner , D. H. Rischke

We study the weakly non-linear development of shear-driven gravity waves, and investigate the mixing properties of the finite amplitude solutions. Calculations to date have been restricted to the linear theory, which predicts that gravity…

Fluid Dynamics · Physics 2007-05-23 Alexandros Alexakis , Yuan-Nan Young , Robert Rosner

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

We present two promising applications of training machine learning models inside a differentiable astrophysical (magneto)hydrodynamics simulator. First, we address the problem of slow convergence in hydrodynamical simulations of wind-blown…

Instrumentation and Methods for Astrophysics · Physics 2025-12-09 Leonard Storcks , Tobias Buck

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a non-trivially rotating strongly coupled N=4 Super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and…

High Energy Physics - Theory · Physics 2021-12-22 Casey Cartwright , Markus Garbiso Amano , Matthias Kaminski , Jorge Noronha , Enrico Speranza

Chaotic dynamics of low-dimensional systems, such as Lorenz or R\"ossler flows, is guided by the infinity of periodic orbits embedded in their strange attractors. Whether this also be the case for the infinite-dimensional dynamics of…

We revisit the double adiabatic evolution equations and extend them to the relativistic and ultrarelativistic regimes. We analytically solve the relativistic, time-dependent drift kinetic equation for a homogeneous, magnetized,…

Plasma Physics · Physics 2026-03-27 Francisco Ley , Aaron Tran , Ellen G. Zweibel

We investigate two well known dynamical systems that are designed to find roots of univariate polynomials by iteration: the methods known by Newton and by Ehrlich-Aberth. Both are known to have found all roots of high degree polynomials…

Numerical Analysis · Mathematics 2020-04-08 Sergey Shemyakov , Roman Chernov , Dzmitry Rumiantsau , Dierk Schleicher , Simon Schmitt , Anton Shemyakov

This paper presents numerical cross-comparisons and benchmark results for two different kinetic numerical methods, capable of describing relativistic dissipative fluid dynamics in a wide range of kinematic regimes, typical of relevant…

High Energy Physics - Phenomenology · Physics 2020-06-12 A. Gabbana , S. Plumari , G. Galesi , V. Greco , D. Simeoni , S. Succi , R. Tripiccione

Relativistic hydrodynamics represents a powerful tool to investigate the time evolution of the strongly interacting quark gluon plasma created in ultrarelativistic heavy ion collisions. The equations are solved often numerically, and…

High Energy Physics - Phenomenology · Physics 2020-05-22 Mate Csanad , Marton I. Nagy , Ze-Fang Jiang , Tamas Csorgo

The discovery of the almost perfect fluid like nature of the strongly interacting quark-gluon plasma was one of the most important discoveries of heavy-ion physics in recent decades. The experimental results are well described by…

High Energy Physics - Theory · Physics 2019-09-06 Bálint Kurgyis , Máté Csanád