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This paper extends the high-order compact gas-kinetic scheme (CGKS) tocompressible flow simulations on a rotating coordinate frame. The kineticequation with the inclusion of centrifugal and Coriolis acceleration is used inthe construction of the scheme. With the updates of both cell averagedconservative variables and their gradients in the rotating and stationarydomains, a third-order compact reconstruction is developed with slidinginterface between them. To properly capture shock wave and complicated waveinteraction, the HWENO-type non-linear reconstruction and gradient compressionfactors are incorporated in the scheme. For achieving high-order time accuracy,based on the flux function and its time derivative the multi-stagemulti-derivative (MSMD) time stepping method is implemented in the scheme forthe fourth-order accuracy with two stages. The CGKS is validated by many testcases from subsonic acoustic wave propagation to the high Mach number shockinteraction in a rotating frame. The compact scheme achieves high-orderaccuracy and remarkable robustness.

A high-order compact gas-kinetic scheme in a rotating coordinate frame and on sliding mesh