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Title: A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark–gluon plasma

Abstract

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 dissipation, which is crucial in describing of quark–gluon plasma in high-energy heavy-ion collisions. We apply the algorithm to several numerical test problems such as sound wave propagation, shock tube and blast wave problems. In sound wave propagation, the intrinsic numerical viscosity is measured and its explicit expression is shown, which is the second-order of spatial resolution both in the presence and absence of physical viscosity. The expression of the numerical viscosity can be used to determine the maximum cell size in order to accurately measure the effect of physical viscosity in the numerical simulation.

Authors:
 [1];  [2];  [1];  [2]
  1. Kobayashi–Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya 464-8602 (Japan)
  2. Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)
Publication Date:
OSTI Identifier:
22230832
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 256; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGORITHMS; COMPUTERIZED SIMULATION; EQUATIONS OF STATE; HEAVY ION REACTIONS; HYDRODYNAMICS; PLASMA; QUANTUM CHROMODYNAMICS; RELATIVISTIC RANGE; SHOCK TUBES; SOUND WAVES; SPATIAL RESOLUTION; VISCOSITY

Citation Formats

Akamatsu, Yukinao, Inutsuka, Shu-ichiro, Nonaka, Chiho, Department of Physics, Nagoya University, Nagoya 464-8602, Takamoto, Makoto, and Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg. A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark–gluon plasma. United States: N. p., 2014. Web. doi:10.1016/J.JCP.2013.08.047.
Akamatsu, Yukinao, Inutsuka, Shu-ichiro, Nonaka, Chiho, Department of Physics, Nagoya University, Nagoya 464-8602, Takamoto, Makoto, & Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg. A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark–gluon plasma. United States. https://doi.org/10.1016/J.JCP.2013.08.047
Akamatsu, Yukinao, Inutsuka, Shu-ichiro, Nonaka, Chiho, Department of Physics, Nagoya University, Nagoya 464-8602, Takamoto, Makoto, and Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg. 2014. "A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark–gluon plasma". United States. https://doi.org/10.1016/J.JCP.2013.08.047.
@article{osti_22230832,
title = {A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark–gluon plasma},
author = {Akamatsu, Yukinao and Inutsuka, Shu-ichiro and Nonaka, Chiho and Department of Physics, Nagoya University, Nagoya 464-8602 and Takamoto, Makoto and Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg},
abstractNote = {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 dissipation, which is crucial in describing of quark–gluon plasma in high-energy heavy-ion collisions. We apply the algorithm to several numerical test problems such as sound wave propagation, shock tube and blast wave problems. In sound wave propagation, the intrinsic numerical viscosity is measured and its explicit expression is shown, which is the second-order of spatial resolution both in the presence and absence of physical viscosity. The expression of the numerical viscosity can be used to determine the maximum cell size in order to accurately measure the effect of physical viscosity in the numerical simulation.},
doi = {10.1016/J.JCP.2013.08.047},
url = {https://www.osti.gov/biblio/22230832}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 256,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 2014},
month = {Wed Jan 01 00:00:00 EST 2014}
}