A High-Order Accurate Gas-Kinetic BGK Scheme

During the past decade, the gas-kinetic BGK scheme has been developed rapidly [1]. The scheme is based on the Bhatnagar-Gross-Krook (BGK) model of Boltzmann equation. The good performance behavier, such as the positivity preserving property and the inherent satisfaction of the entropy condition, guarantees the scheme to yield more reliable numerical results for a wide range of flow physics [2, 3], including the high-speed turbulent mixing layer [4] and decaying homogeneous isotropic turbulence [5].