Numerical simulation of high-speed planar mixing layer

Abstract In this paper gas-kinetic BGK scheme is applied to simulate 2-D supersonic mixing layer with free-stream Mach numbers ranging from 1.1 to 1.9 on one side and 2.3 to 3.1 on the other. The convective Mach number M c falls in the range 0.2–1.0. The numerical results provide the flow-field structure, the characteristic of velocity fluctuation, the self-similarity profiles of the mean velocity, Reynolds stresses and high-order moments of velocity fluctuation. The mean velocity field and the normalized growth rate agree well with experimental results. Due to 2-D limitations the velocity fluctuation intensities and shear stress are overpredicted, especially in cases with high M c . The pairings of large structures in high M c mixing layers still exist, although compressibility restrains their development. Present study reveals the good property of the BGK scheme in the simulation of compressible flows that ensures its wide applications.

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