Relativistic viscous hydrodynamics for heavy-ion collisions with ECHO-QGP

Abstract

We present ECHO-QGP, a numerical code for $(3+1)$-dimensional relativistic viscous hydrodynamics designed for the modeling of the space-time evolution of the matter created in high energy nuclear collisions. The code has been built on top of the \emph{Eulerian Conservative High-Order} astrophysical code for general relativistic magneto-hydrodynamics [\emph{Del Zanna et al., Astron. Astrophys. 473, 11, 2007}] and here it has been upgraded to handle the physics of the Quark-Gluon Plasma. ECHO-QGP features second-order treatment of causal relativistic viscosity effects in both Minkowskian or Bjorken coordinates; partial or complete chemical equilibrium of hadronic species before kinetic freeze-out; initial conditions based on the optical Glauber model, including a Monte-Carlo routine for event-by-event fluctuating initial conditions; a freeze-out procedure based on the Cooper-Frye prescription. The code is extensively validated against several test problems and results always appear accurate, as guaranteed by the combination of the conservative (shock-capturing) approach and the high-order methods employed. ECHO-QGP can be extended to include evolution of the electromagnetic fields coupled to the plasma.

25 pages, two column, Final version: accepted for publication in European Physical Journal C

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• New approach to initializing hydrodynamic fields and mini-jet propagation in quark-gluon fluids
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• General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black-hole accretion
• Modeling the diffusive dynamics of critical fluctuations near the QCD critical point
• Anisotropic flow in transport+hydrodynamics hybrid approaches
• Heavy-flavour production in high-energy d-Au and p-Pb collisions
• Dissipative Magnetohydrodynamics for Non-Resistive Relativistic Plasmas
• Shocks and quark-meson scatterings at large density
• Lattice QCD-based equations of state at vanishing net-baryon density
• Electrical and thermal conductivities of hot and dense hadron gas
• Statistics of initial density perturbations in heavy ion collisions and their fluid dynamic response
• Development of heavy-flavour flow-harmonics in high-energy nuclear collisions
• Simulating bulk viscosity in neutron stars. II. Evolution in spherical symmetry
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• The iEBE-VISHNU code package for relativistic heavy-ion collisions
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• How (non-) linear is the hydrodynamics of heavy ion collisions?
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• The applicability of hydrodynamics in heavy ion collisions at $\sqrt{s_{\mathrm{NN}}}$= 2.4-7.7 GeV
• Rapidity dependence of heavy-flavour production in heavy-ion collisions within a full 3+1 transport approach: quenching, elliptic and directed flow
• Event-shape engineering and heavy-flavour observables in relativistic heavy-ion collisions
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• Dynamics of heavy flavor quarks in high energy nuclear collisions
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• Introduction to Hydrodynamics
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• Vorticity and Polarization in Heavy Ion Collisions: Hydrodynamic Models
• Bottomonium suppression in PbPb collision at energies available at the CERN large hadron collider
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• Elliptic flow and $R_{AA}$ of D mesons at FAIR comparing the UrQMD hybrid model and the coarse-graining approach
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• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
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• Higher-level large-eddy filtering strategy for general relativistic fluid simulations
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Heavy Ion Collision evolution modeling with ECHO-QGP
• Proca equation and vector field quantization in rotating system
• Simulating bulk viscosity in neutron stars. I. Formalism
• Accelerating longitudinal expansion of resistive relativistic-magneto-hydrodynamics in heavy ion collisions
• A perturbative approach to the hydrodynamics of heavy ion collisions
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Heavy-flavor flow-harmonics in high-energy nuclear collisions: time-development and eccentricity fluctuations
• Medium effects on heavy-flavour observables in high-energy nuclear collisions
• In-medium hadronization of heavy quarks and its effect on charmed meson and baryon distributions in heavy-ion collisions
• Theory Summary
• Extension of the integrated hydrokinetic model to nuclear collision energies relevant for the RHIC Beam-Energy Scan program and the research program at GSI-FAIR
• Constraints on shear stress tensor in viscous relativistic hydrodynamics
• Heavy-flavour transport: from large to small systems
• Hybrid model with viscous relativistic hydrodynamics: a role of constraints on the shear-stress tensor
• Heavy-flavor transport