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Abstract

Viscous fluid dynamics provides a very successful description of heavy-ion collisions. Recent high precision measurements at RHIC and the LHC allow to perform high precision studies and parameter extractions of the experimental data. For these analyses theoretical calculations require similar statistics as the experimental measurements, which becomes more and more challenging. For the efficient calculation of a large number of events the fluid-dynamic framework FluiduM is presented and expanded in this thesis. FluiduM is build on a background fluctuation splitting ansatz of the fluid fields together with a mode-by-mode decomposition allowing for an efficient gathering of statistics already on the level of the initial conditions. Different applications of FluiduM using its speed and flexibility are presented. In the second part the applicability of relativistic fluid dynamics is examined by extending the fluid-dynamic description of a heavy-ion collision to times before the collision. For this the incoming nuclei are already described as drops of liquid nuclear matter. The equations of motion based on energy-momentum and particle number conservation are solved for a toy model given by an expanding and contracting Hubble universe, which then is used to study the entropy production of this process.