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We present a direct numerical simulation to investigate the dynamics andstatistics of reorientations of large-scale circulation (LSC) in turbulentrotating Rayleigh-B\'{e}nard convection (RRBC) for air ($Pr=0.7$) contained ina cylindrical cell with unit aspect ratio. A wide range of rotation rates($0\leq Ro^{-1}\leq 30$) is considered for two different Rayleigh numbers$Ra=2\times10^6$ and $2\times10^7$. Using the Fourier mode analysis of timeseries data obtained from the different probes placed in the azimuthaldirection of the container at the mid-plane, the orientation and associateddynamics of LSC are characterized. The amplitude of the first Fourier modequantifies the strength of LSC and its phase $\Phi_1$ gives the information ofthe azimuthal orientation of LSC. Based on the energy contained in the Fouriermodes different flow regimes are identified as the rotation rate is varied fora given Rayleigh number. LSC structure is observed in the low rotation regime ($Ro^{-1} \lesssim 1$). A strong correlation between the orientation of LSCstructure and the heat transfer and boundary layer dynamics is observed. In theLSC regime, the dissipation rates follow the log-normal behaviour, while athigher rotation rates, a clear departure from log-normality is noticed.Different types of reorientations, namely, rotation-led, cessation-led, partialand complete reversal are identified. The distribution of change in orientationof LSC follows a power law behaviour as $P(|\Delta \Phi_1|) \propto |\Delta\Phi_1|^{-m}$, with the exponent $m\approx 3.7$. In addition, the statistics oftime interval between successive reorientations follow a Poisson distribution.These observations are in good agreement with earlier experimental results.

Dynamics and Statistics of Reorientations of Large-Scale Circulation in Turbulent Rotating Rayleigh-B\'{e}nard Convection