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Title: A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions

Here, we construct a new relativistic viscous hydrodynamics code optimized in the Milne coordinates. We also split the conservation equations into an ideal part and a viscous part, using the Strang spitting method. In the code a Riemann solver based on the two-shock approximation is utilized for the ideal part and the Piecewise Exact Solution (PES) method is applied for the viscous part. Furthemore, we check the validity of our numerical calculations by comparing analytical solutions, the viscous Bjorken’s flow and the Israel–Stewart theory in Gubser flow regime. Using the code, we discuss possible development of the Kelvin–Helmholtz instability in high-energy heavy-ion collisions.
Authors:
ORCiD logo [1] ;  [2]
  1. Nagoya Univ. (Japan). Dept. of Physics
  2. Nagoya Univ. (Japan). Dept. of Physics adn Kobayashi-Maskawa Inst. for the Origin of Particles and the Universe (KMI); Duke Univ., Durham, NC (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
FG02-05ER41367
Type:
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 6; Journal ID: ISSN 1434-6044
Publisher:
Springer
Research Org:
Duke Univ., Durham, NC (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1374882

Okamoto, Kazuhisa, and Nonaka, Chiho. A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions. United States: N. p., Web. doi:10.1140/epjc/s10052-017-4944-0.
Okamoto, Kazuhisa, & Nonaka, Chiho. A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions. United States. doi:10.1140/epjc/s10052-017-4944-0.
Okamoto, Kazuhisa, and Nonaka, Chiho. 2017. "A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions". United States. doi:10.1140/epjc/s10052-017-4944-0. https://www.osti.gov/servlets/purl/1374882.
@article{osti_1374882,
title = {A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions},
author = {Okamoto, Kazuhisa and Nonaka, Chiho},
abstractNote = {Here, we construct a new relativistic viscous hydrodynamics code optimized in the Milne coordinates. We also split the conservation equations into an ideal part and a viscous part, using the Strang spitting method. In the code a Riemann solver based on the two-shock approximation is utilized for the ideal part and the Piecewise Exact Solution (PES) method is applied for the viscous part. Furthemore, we check the validity of our numerical calculations by comparing analytical solutions, the viscous Bjorken’s flow and the Israel–Stewart theory in Gubser flow regime. Using the code, we discuss possible development of the Kelvin–Helmholtz instability in high-energy heavy-ion collisions.},
doi = {10.1140/epjc/s10052-017-4944-0},
journal = {European Physical Journal. C, Particles and Fields},
number = 6,
volume = 77,
place = {United States},
year = {2017},
month = {6}
}