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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2019, Vol. 40 ›› Issue (7): 122914-122914.doi: 10.7527/S1000-6893.2019.22914

• Fluid Mechanics and Flight Mechanics • Previous Articles     Next Articles

Discrete unified gas kinetic scheme for diatomic gas with rotational degrees of freedom

YAO Bo, ZHANG Chuang, GUO Zhaoli   

  1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2019-01-17 Revised:2019-02-25 Online:2019-07-15 Published:2019-03-15
  • Supported by:
    National Natural Science Foundation of China (11872024

Abstract: The Discrete Unified Gas Kinetic Scheme (DUGKS) is a finite volume method suitable for all Knudsen number regimes. Previous studies considering molecular translational degrees of freedom have verified the accuracy and stability of DUGKS in multiscale problems. In this paper, the DUGKS is constructed based on the Rykov gas kinetic equation, and the Landau-Teller-Jeans rotational energy relaxation model is used. Then the DUGKS can be used in multiscale problem calculation from continuum flow to rarefied flow for diatomic gases. Some non-equilibrium cases, such as one-dimensional shock structure, the hypersonic flow passing a flat plate, and the hypersonic flow around a cylinder have been tested. The results show the existence of energy exchange process corresponding to the degrees of freedom of translation and rotation in diatomic gas molecules. And the calculation results are in good agreement with the Unified Gas Kinetic Scheme (UGKS), Direct Simulation Monte Carlo (DSMC), and experimental values.

Key words: discrete unified gas kinetic scheme, diatomic molecular, rotational degrees of freedom, multi-scale flow, non-equilibrium flow

CLC Number: