  Approaches based on viscous hydrodynamics for the hot and dense stage and
hadronic transport for the final dilute rescattering stage are successfully
applied to the dynamic description of heavy ion reactions at high beam
energies. One crucial step in such hybrid approaches is the so called
particlization, the transition between the hydrodynamic description to
microscopic degrees of freedom. For this purpose, individual particles are
sampled on the Cooper-Frye hypersurface. In this work, 4 different realizations
of sampling algorithms are compared, where three of them incorporate global
conservation laws of quantum numbers in each event. The algorithms are compared
within two types of scenarios: simple "box" hypersurface consisting of only one
static cell and a typical particlization hypersurface for Au+Au collisions at
$\sqrt{s_\mathrm{NN}} = 200$ GeV. For all algorithms the mean multiplicities
(or particle spectra) remain unaffected by global conservation laws in the case
of large volumes. In contrast, the fluctuations of the particle numbers are
affected considerably. The fluctuations of the newly developed SPREW algorithm
based on exponential weights and the recently suggested SER algorithm based on
ensemble rejection are smaller than without conservation laws and agree with
the expectation from the canonical ensemble. The previously applied mode
sampling algorithm produces dramatically larger fluctuations, than it is
expected in the corresponding microcanonical ensemble, and therefore should be
avoided in fluctuation studies. This study might be of interest for
investigations of particle fluctuations and correlations, e.g. the suggested
signatures for a phase transition or a critical endpoint, in hybrid approaches
that are affected by global conservation laws.
