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.
Year
DOI
Venue
2014
10.1016/j.jcp.2013.08.047
J. Comput. Physics
Keywords
DocType
Volume
qcd equation,causal viscous hydrodynamics,numerical dissipation,riemann solver,sound wave propagation,numerical viscosity,physical viscosity,numerical method,intrinsic numerical viscosity,blast wave problem,relativistic heavy-ion collision,quark-gluon plasma,new scheme,numerical simulation,numerical test problem,quark gluon plasma
Journal
256,
ISSN
Citations 
PageRank 
J.Comput.Phys. 256 (2014) 34-54
2
0.68
References 
Authors
1
4
Name
Order
Citations
PageRank
Yukinao Akamatsu121.02
Shu-Ichiro Inutsuka252.53
Chiho Nonaka320.68
Makoto Takamoto441.82