  We review the results from the event-by-event next-to-leading order
perturbative QCD + saturation + viscous hydrodynamics (EbyE NLO EKRT) model.
With a simultaneous analysis of LHC and RHIC bulk observables we systematically
constrain the QCD matter shear viscosity-to-entropy ratio eta/s(T), and test
the initial state computation. In particular, we study the centrality
dependences of hadronic multiplicities, pT spectra, flow coefficients, relative
elliptic flow fluctuations, and various flow-correlations in 2.76 and 5.02 TeV
Pb+Pb collisions at the LHC and 200 GeV Au+Au collisions at RHIC. Overall, our
results match remarkably well with the LHC and RHIC measurements, and
predictions for the 5.02 TeV LHC run are in an excellent agreement with the
data. We probe the applicability of hydrodynamics via the average Knudsen
numbers in the space-time evolution of the system and viscous corrections on
the freeze-out surface.
