  We report the first results of elliptic ($v_2$), triangular ($v_3$) and
quadrangular flow ($v_4$) of charged particles in Pb-Pb collisions at
$\sqrt{s_{\rm NN}}=5.02$ TeV with the ALICE detector at the CERN Large Hadron
Collider. The measurements are performed in the central pseudorapidity region
$|\eta|<0.8$ and for the transverse momentum range $0.2<p_{\rm T}<5$ GeV/$c$.
The anisotropic flow is measured using two-particle correlations with a
pseudorapidity gap greater than one unit and with the multi-particle cumulant
method. Compared to results from Pb-Pb collisions at $\sqrt{s_{\rm NN}}=2.76$
TeV, the anisotropic flow coefficients $v_{2}$, $v_{3}$ and $v_{4}$ are found
to increase by ($3.0\pm0.6$)%, ($4.3\pm1.4$)% and ($10.2\pm3.8$)%,
respectively, in the centrality range 0-50%. This increase can be attributed
mostly to an increase of the average transverse momentum between the two
energies. The measurements are found to be compatible with hydrodynamic model
calculations. This comparison provides a unique opportunity to test the
validity of the hydrodynamic picture and the power to further discriminate
between various possibilities for the temperature dependence of shear viscosity
to entropy density ratio of the produced matter in heavy-ion collisions at the
highest energies.
