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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2021, Vol. 42 ›› Issue (S1): 726411-726411.doi: 10.7527/S1000-6893.2021.26411

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Multiscale steady-state thermal radiation calculation based on gas kinetics method

ZHANG Huabo1, ZHOU Ruirui2, LI Sida1, SUN Yasong1,3   

  1. 1. School of Power and Energy, Northwestern Polytechnical University, Xi'an 710129, China;
    2. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;
    3. Yangtze River Delta Research Institute, Northwestern Polytechnical University, Taicang 215400, China
  • Received:2021-09-01 Revised:2021-09-24 Published:2021-10-18
  • Supported by:
    National Natural Science Foundation of China(51976173, 51976014);Shanghai Youth Technological Talent Sailing Project(21YF1430400);Natural Science Foundation of Jiangsu Province(BK20201204);General Project of Taicang Basic Research Plan(TC2019JC01)

Abstract: With the increase of the gas temperature in the combustion chamber of the aero engine, the problem of radiation in the high temperature area will become more important. At the same time, the radiation characteristics will change drastically due to high temperature gas radiation, which will show a multi-scale phenomenon and thus increase the difficulty of radiation calculation. This paper uses the idea of steady discrete unified gas kinetics scheme (SDUGKS) to solve the steady-state radiation problem. SDUGKS schemes uses the method of differential discretization by characteristic line to achieve reconstruction of the unit interface, and realizes update of cell data through a certain iterative format. This process realizes effective simulation of the radiation characteristics inside the grid. The process can be applied to any specific radiation scale, so that the calculation of multi-scale problems can be realized under any grid condition. This paper introduces the deferred-correction (DC) method to update unit data, and calculates the single-scale and multi-scale problems. For the single-scale problem, the SDUGKS format is verified to be applicable for the steady-state radiation problem. The multi-scale problem is further constructed to be solved, which verifies the asymptotic preservation and accuracy of SDUGKS in calculation of multi-scale problems.

Key words: thermal radiation, steady state, multiscale, discrete unified gas kinetics scheme, deferred-correction (DC) method, asymptotic preservation

CLC Number: