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A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions

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TLDR
A state-of-the-art algorithm for solving the relativistic viscous hydrodynamics equation with the QCD equation of state based on the second-order Godunov method and has less numerical dissipation, which is crucial in describing of quark-gluon plasma in high-energy heavy-ion collisions.
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This article is published in Journal of Computational Physics.The article was published on 2014-01-01 and is currently open access. It has received 32 citations till now. The article focuses on the topics: Godunov's scheme & Viscosity.

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Journal ArticleDOI

The iEBE-VISHNU code package for relativistic heavy-ion collisions

TL;DR: The iEBE-VISHNU as discussed by the authors code package performs event-by-event simulations for relativistic heavy-ion collisions using a hybrid approach based on ( 2 + 1 )-dimensional viscous hydrodynamics coupled to a hadronic cascade model.
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Introduction to hydrodynamics

TL;DR: In this article, a brief review of the theory of viscous hydrodynamics is provided, including derivation of the 2nd order viscous hydride from the linear response theory and kinetic theory, viscous anisotropic hyddynamics, and numerical implementation of relativistic hyddride.
Journal ArticleDOI

A 3+1 dimensional viscous hydrodynamic code for relativistic heavy ion collisions

TL;DR: The details of 3+1 dimensional relativistic hydrodynamic code for the simulations of quark–gluon/hadron matter expansion in ultra-relativistic heavy ion collisions are described and the ability to solve the equations of ideal hydrodynamics in the limit of zero viscosities is kept.
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A study of vorticity formation in high energy nuclear collisions

TL;DR: In this article, the authors present a quantitative study of vorticity formation in peripheral ultrarelativistic heavy-ion collisions at the ECHO-QGP numerical code, implementing relativistic dissipative hydrodynamics in the causal Israel-Stewart framework with an initial Bjorken flow profile.
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A study of vorticity formation in high energy nuclear collisions

TL;DR: In this article, the authors present a quantitative study of vorticity formation in peripheral ultrarelativistic heavy ion collisions at 200 GeV by using the ECHO-QGP numerical code, implementing relativistic dissipative hydrodynamics in 3+1 dimensions with an initial Bjorken flow profile.
References
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Journal ArticleDOI

Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method

TL;DR: In this article, a second-order extension of the Lagrangean method is proposed to integrate the equations of ideal compressible flow, which is based on the integral conservation laws and is dissipative, so that it can be used across shocks.
Book

Quantum Gravity

Claus Kiefer
Journal ArticleDOI

Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works

TL;DR: A class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction,” which yield realistic, accurate results.
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New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations

TL;DR: It is proved that a scalar version of the high-resolution central scheme is nonoscillatory in the sense of satisfying the total-variation diminishing property in the one-dimensional case and the maximum principle in two-space dimensions.
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