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A detailed derivation of the Lattice Boltzmann (LB) scheme for relativistic fluids recently proposed in Ref. [1], is presented. The method is numerically validated and applied to the case of two quite different relativistic fluid dynamic…

Solar and Stellar Astrophysics · Physics 2010-12-28 M. Mendoza , B. M. Boghosian , H. J. Herrmann , S. Succi

In the realm of relativistic astrophysics, the ideal equation of state with a constant adiabatic index provides a poor approximation due to its inconsistency with relativistic kinetic theory. However, it is a common practice to use it for…

Numerical Analysis · Mathematics 2025-12-16 Sujoy Basak , Arpit Babbar , Harish Kumar , Praveen Chandrashekar

A dynamical appearance of scaling solutions in the relativistic hydrodynamics applied to describe ultra-relativistic heavy-ion collisions is studied. We consider the boost-invariant cylindrically symmetric systems and the effects of the…

Nuclear Theory · Physics 2009-11-10 Mikolaj Chojnacki , Wojciech Florkowski , Tamas Csorgo

A spatially-periodic longitudinal wave is considered in relativistic dissipative hydrodynamics. At sufficiently small wave amplitudes, an analytic solution is obtained in the linearised limit of the macroscopic conservation equations within…

Fluid Dynamics · Physics 2018-03-07 Victor E. Ambrus

The motion of sound waves propagating in the perfect fluid with inhomogeneous background flow is effectively described as a massless scalar field on a curved space-time. This effective geometry is characterized by the acoustic metric, which…

Astrophysics · Physics 2009-11-10 Shunichiro Kinoshita , Yuuiti Sendouda , Keitaro Takahashi

We consider the use of probabilistic neural networks for fluid flow {surrogate modeling} and data recovery. This framework is constructed by assuming that the target variables are sampled from a Gaussian distribution conditioned on the…

Fluid Dynamics · Physics 2020-10-14 Romit Maulik , Kai Fukami , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

We have developed a one-dimensional code to solve ultra-relativistic hydrodynamic problems, using the Glimm method for an accurate treatment of shocks and contact discontinuities. The implementation of the Glimm method is based on an exact…

Astrophysics · Physics 2009-10-28 L. Wen , A. Panaitescu , P. Laguna

A high-order flux reconstruction solver has been developed and validated to perform implicit large-eddy simulations of industrially representative turbomachinery flows. The T106c low-pressure turbine and VKI LS89 high-pressure turbine cases…

Fluid Dynamics · Physics 2024-07-26 Feng Wang

We propose an extension to recently developed Relativistic Lattice Boltzmann solvers (RLBM), which allows the simulation of flows close to the free streaming limit. Following previous works [Phys. Rev. C 98 (2018) 035201], we use product…

Generalization of the self-similar solution for ultrarelativistic shock waves (Blandford & McKee, 1976) is obtained in presence of losses localized on the shock front or distributed in the downstream medium. It is shown that there are two…

Astrophysics · Physics 2007-05-23 E. V. Derishev , Vl. V. Kocharovsky , K. A. Martiyanov

Performing global resolvent analysis for high-Reynolds-number turbulent flow calls for the handling of a large discrete operator. Even though such large operator is required in the analysis, most applications of resolvent analysis extracts…

Fluid Dynamics · Physics 2020-03-25 Jean Hélder Marques Ribeiro , Chi-An Yeh , Kunihiko Taira

Observations of the solar surface reveal the presence of flows with length scales of around $35$ Mm, commonly referred to as supergranules. Inferring the sub-surface flow profile of supergranules from measurements of the surface and…

Solar and Stellar Astrophysics · Physics 2016-08-03 Jishnu Bhattacharya , Shravan M. Hanasoge

We investigate relativistic flows after a shock wave generated in a star arrives at the surface. First, the sphericity effect is involved through a successive approximation procedure by adding correction terms to an already known…

Astrophysics · Physics 2008-11-26 Reina Kikuchi , Toshikazu Shigeyama

The dynamics of relativistic magnetized mass loaded outflows carrying toroidal magnetic field is analyzed in the context of Pulsar Wind Nebulae (PWNs). Mass loading is very efficient in slowing down super-relativistic magnetized flows and…

Astrophysics · Physics 2009-11-07 Maxim Lyutikov

We present new, exact, finite solutions of relativistic hydrodynamics for longitudinally expanding fireballs for arbitrary constant value of the speed of sound. These new solutions generalize earlier, longitudinally finite, exact solutions,…

Nuclear Theory · Physics 2018-06-19 T. Csorgo , G. Kasza , M. Csanad , Z. Jiang

Relativistic hydrodynamics has been extensively applied to high energy heavy-ion collisions. We review hydrodynamic calculations for Au+Au collisions at RHIC energies and provide a comprehensive comparison between the model and experimental…

Nuclear Theory · Physics 2007-05-23 Peter F. Kolb , Ulrich Heinz

An oblique-rotating pulsar generates a relativistic striped wind in a pulsar wind nebula (PWN). The termination shock of the PWN compresses the Poynting-flux-dominated flow and drives magnetic reconnection. By carrying out particle-in-cell…

High Energy Astrophysical Phenomena · Physics 2021-03-03 Yingchao Lu , Fan Guo , Patrick Kilian , Hui Li , Chengkun Huang , Edison Liang

We present the results of two-dimensional magnetohydrodynamical numerical simulations of relativistic magnetic reconnection, with particular emphasis on the dynamics of Petschek-type configurations with high Lundquist numbers, S ~…

High Energy Astrophysical Phenomena · Physics 2011-09-06 Olindo Zanotti , Michael Dumbser

We consider the acceleration of charged particles in relativistic shearing flows, with Lorentz factor up to $\Gamma_0 \sim 20$. We present numerical solutions to the particle transport equation and compare these with results from analytical…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Frank M. Rieger , Peter Duffy

We perform Monte Carlo simulations of diffusive shock acceleration at highly relativistic oblique shock waves. High upstream flow Lorentz gamma factors are used, which are relevant to models of ultra relativistic particle shock acceleration…

Astrophysics · Physics 2010-11-15 A. Meli , J. J. Quenby