In this work, we study the charged hadron anisotropic flow coefficients $v_n$ (up to $n=12$) using high-statistics event-by-event simulations of $\mathrm{Pb}+\mathrm{Pb}$ collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ and $5.36$ TeV, employing the IP-Glasma $+$ MUSIC $+$ UrQMD hybrid approach. The power spectra of anisotropic flow coefficients ($v_n\left\{2\right\}$ vs $n$) are compared with the ALICE measurements from central to 50% centrality. To understand the various sources contributing to the high-order $v_n$ coefficients, we analyze the nonlinear mode coefficients for high-order anisotropic flow coefficients using different approximations and make comparisons with available measurements.

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• Collective flow
• Hydrodynamic models
• Particle correlations & fluctuations
• Quark-gluon plasma