Nonlinear response coefficients of higher-order $v_{n}$ anisotropy harmonics for charged particles, as a function of transverse momentum ($p_{\mathrm{T}}$) and collision centrality, are measured in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 and 5.02TeV. The nonlinear response coefficients are obtained using $v_{n}$ harmonics measured with respect to their own plane and the mixed harmonics. The results are compared with hydrodynamic models with different shear viscosity to entropy density ratios and initial conditions. Additionally, the $v_{2}$ and $v_{3}$ anisotropy harmonics of charged particles and prompt $D^{0}$ mesons are measured at $\lvert y\rvert \le$ 1 as a function of $p_{\mathrm{T}}$ and centrality in PbPb data at $\sqrt{s_{NN}}$ = 5.02 TeV collected with the CMS detector. Prompt $D^{0}$ mesons, formed from the $c$ quarks produced via initial hard scatterings, are separated up to a high extent from nonprompt $D^{0}$ mesons emerged from decays of b hadrons. The results indicate that the charm quarks interact strongly with the QGP medium. Comparisons between theoretical models and data provide new constraints on the interaction between charm quarks and the QGP medium.