  This paper extends the high-order compact gas-kinetic scheme (CGKS) to
compressible flow simulations on a rotating coordinate frame. The kinetic
equation with the inclusion of centrifugal and Coriolis acceleration is used in
the construction of the scheme. With the updates of both cell averaged
conservative variables and their gradients in the rotating and stationary
domains, a third-order compact reconstruction is developed with sliding
interface between them. To properly capture shock wave and complicated wave
interaction, the HWENO-type non-linear reconstruction and gradient compression
factors are incorporated in the scheme. For achieving high-order time accuracy,
based on the flux function and its time derivative the multi-stage
multi-derivative (MSMD) time stepping method is implemented in the scheme for
the fourth-order accuracy with two stages. The CGKS is validated by many test
cases from subsonic acoustic wave propagation to the high Mach number shock
interaction in a rotating frame. The compact scheme achieves high-order
accuracy and remarkable robustness.
