  We present a direct numerical simulation to investigate the dynamics and
statistics of reorientations of large-scale circulation (LSC) in turbulent
rotating Rayleigh-B\'{e}nard convection (RRBC) for air ($Pr=0.7$) contained in
a 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 time
series data obtained from the different probes placed in the azimuthal
direction of the container at the mid-plane, the orientation and associated
dynamics of LSC are characterized. The amplitude of the first Fourier mode
quantifies the strength of LSC and its phase $\Phi_1$ gives the information of
the azimuthal orientation of LSC. Based on the energy contained in the Fourier
modes different flow regimes are identified as the rotation rate is varied for
a given Rayleigh number. LSC structure is observed in the low rotation regime (
$Ro^{-1} \lesssim 1$). A strong correlation between the orientation of LSC
structure and the heat transfer and boundary layer dynamics is observed. In the
LSC regime, the dissipation rates follow the log-normal behaviour, while at
higher rotation rates, a clear departure from log-normality is noticed.
Different types of reorientations, namely, rotation-led, cessation-led, partial
and complete reversal are identified. The distribution of change in orientation
of 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 of
time interval between successive reorientations follow a Poisson distribution.
These observations are in good agreement with earlier experimental results.
