Next-generation multifluid hydrodynamic model for nuclear collisions at sNN from a few GeV to a hundred GeV

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 one-fluid models with initial states being parametrized or generated by transport approach. Hence, our model is well designed for simulations at collision energies, at which matter in the vicinity of the quantum chromodynamics 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.