  We have developed a next-generation hybrid event-by-event three-fluid
hydrodynamic model, suitable for simulations of heavy-ion collisions in the
energy range from few up to tens of GeV per colliding NN pair. At such energies
the interpenetration time of the nuclei is of the same order as the lifetime of
the system, however this model treats the initial phase hydrodynamically.
Thanks to that it is more sensitive to the Equation of State than 1-fluid
models with initial states being parametrised or generated by transport
approach. Hence, our model is well designed for simulations at collision
energies, at which matter in vicinity of the QCD critical endpoint is expected.
The construction of the model is explained and basic observables like hadron
spectra in rapidity and transverse momentum, as well as elliptic flow are
calculated.
