  Generalized hydrodynamics (GHD) is a recent theoretical approach that is
becoming a go-to tool for characterizing out-of-equilibrium phenomena in
integrable and near-integrable quantum many-body systems. Here, we benchmark
its performance against an array of alternative theoretical methods, for an
interacting one-dimensional Bose gas described by the Lieb-Liniger model. In
particular, we study the evolution of both a localized density bump and dip,
along with a quantum Newton's cradle setup, for various interaction strengths
and initial equilibrium temperatures. We find that GHD generally performs very
well at sufficiently high temperatures or strong interactions. For low
temperatures and weak interactions, we highlight situations where GHD, while
not capturing interference phenomena on short lengthscales, can describe a
coarse-grained behaviour based on convolution averaging that mimics finite
imaging resolution in ultracold atom experiments. In a quantum Newton's cradle
setup based on a double-well to single-well trap quench, we find that GHD with
diffusive corrections demonstrates excellent agreement with the predictions of
a classical field approach.
