A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in highenergy heavyion 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 twoshock 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 highenergy heavyion collisions.
 Authors:

^{[1]}
;
^{[2]}
 Nagoya Univ. (Japan). Dept. of Physics
 Nagoya Univ. (Japan). Dept. of Physics adn KobayashiMaskawa Inst. for the Origin of Particles and the Universe (KMI); Duke Univ., Durham, NC (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 FG0205ER41367
 Type:
 Accepted Manuscript
 Journal Name:
 European Physical Journal. C, Particles and Fields
 Additional Journal Information:
 Journal Volume: 77; Journal Issue: 6; Journal ID: ISSN 14346044
 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 highenergy heavyion collisions. United States: N. p.,
Web. doi:10.1140/epjc/s1005201749440.
Okamoto, Kazuhisa, & Nonaka, Chiho. A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in highenergy heavyion collisions. United States. doi:10.1140/epjc/s1005201749440.
Okamoto, Kazuhisa, and Nonaka, Chiho. 2017.
"A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in highenergy heavyion collisions". United States.
doi:10.1140/epjc/s1005201749440. 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 highenergy heavyion 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 twoshock 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 highenergy heavyion collisions.},
doi = {10.1140/epjc/s1005201749440},
journal = {European Physical Journal. C, Particles and Fields},
number = 6,
volume = 77,
place = {United States},
year = {2017},
month = {6}
}