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Using the newly developed hybrid model VISHNU which connects viscoushydrodynamics with a hadron cascade model, we study the differential andintegrated elliptic flow v_2 at different centrality bins for 200 A GeV Au+Aucollisions and 2.76 A TeV Pb+Pb collisions. We find that the average QuarkGluon Plasma (QGP) specific shear viscosity eta/s slightly increases fromRelativistic Heavy Ion Collider (RHIC) to Large Hadron Collider (LHC) energies.However, a further study assuming different temperature dependencies for(eta/s)_QGP shows that one cannot uniquely constrain the form of (eta/s)_QGP(T)by fitting the spectra and v_2 alone. Based on our current understanding, thequestion on whether the QGP fluid is more viscous or more perfect in thetemperature regime reached by LHC energies is still open.

Elliptic flow in 200 A GeV Au+Au collisions and 2.76 A TeV Pb+Pb collisions: insights from viscous hydrodynamics + hadron cascade hybrid model