Speaker
Description
A relativistic viscous hydrodynamic model plays an important role in the quantitative
understanding of the QGP bulk property.
In spite of the success of hydrodynamic models in high-energy heavy-ion collisions,
there are still several issues under discussion.
In particular, we emphasize that a numerical algorithm for solving the relativistic hydrodynamic
equation is one of the important ingredients in developing the hydrodynamic models.
Recent high statistical experimental data at RHIC and the LHC imposed a more rigorous
numerical treatment on the hydrodynamical models.
Here 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 our developed new relativistic viscous hydrodynamics code, we investigate
the temperature dependence of shear and bulk viscosities from comparison with the
ALICE data; single particle spectra and collective flows at Pb+Pb $\sqrt{s_{NN}} = 2.76$ TeV
collisions at the Large Hadron Collider. We find that from the comprehensive analyses
of centrality dependence of single particle spectra and collective flows, we can extract
the detailed information of the QGP bulk property, without being smeared by the final state
interactions.