https://doi.org/10.1140/epjc/s10052-017-4944-0
Regular Article - Theoretical Physics
A new relativistic viscous hydrodynamics code and its application to the Kelvin–Helmholtz instability in high-energy heavy-ion collisions
1
Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
2
Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya, 464-8602, Japan
3
Department of Physics, Duke University, Durham, NC, 27708, USA
* e-mail: okamoto@hken.phys.nagoya-u.ac.jp
Received:
6
March
2017
Accepted:
24
May
2017
Published online:
9
June
2017
We construct a new relativistic viscous hydrodynamics code optimized in the Milne coordinates. We 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. 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.
© The Author(s), 2017
