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基于气体动理学方法的多尺度稳态热辐射计算-2021增刊

张华波1,周瑞睿2,李思达1,孙亚松1   

  1. 1. 西北工业大学
    2. 上海理工大学
  • 收稿日期:2021-09-22 修回日期:2021-10-13 出版日期:2021-10-18 发布日期:2021-10-18
  • 通讯作者: 孙亚松
  • 基金资助:
    国家自然科学基金;国家自然科学基金;上海市青年科技英寸扬帆计划;江苏省自然科学基金;太仓市基础研究计划面上项目

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

  • Received:2021-09-22 Revised:2021-10-13 Online:2021-10-18 Published:2021-10-18
  • Contact: Yasong 白

摘要: 随着航空发动机燃烧室内燃气温度的提升,高温区域的热辐射问题将会变得更为重要,同时由于高温气体辐射导致辐射特性的剧烈变化,将会呈现出多尺度的现象,增加了辐射计算的难度。文章通过稳态离散统一气体动力学格式(SDUGKS, Steady Discrete Unified Gas Kinetics Scheme)的思路实现对稳态辐射问题进行求解,SDUGKS格式通过特征线差分离散的方法实现单元界面的重构,通过某种迭代格式来实现单元数据的更新,这一过程实现了对网格内部的辐射特性的有效模拟,该过程可适用于任何具体的辐射尺度,这样就可以在任意网格条件下实现多尺度问题的计算。文章引入了修正的延迟修正法(Deferred-correction, DC)实现单元数据更新,对单一尺度和多尺度问题进行了计算,在单一尺度问题中,验证了SDUGKS格式求解稳态辐射问题的正确性,进一步构造多尺度问题进行求解,论证了SDUGKS在多尺度问题计算中的渐近保持性质和准确性。

关键词: 稳态热辐射, 多尺度, 离散统一气体动力学格式, 延迟修正法, 渐近保持

Abstract: With the increase of the gas temperature in the combustion chamber of an aero engine, the problem of radia-tion in the high temperature area will become more important. At the same time, the radiation characteristics will change drastically due to the high temperature gas radiation, which will show a multi-scale phenomenon, which increases the difficulty of radiation calculations. This paper uses the idea of Steady Discrete Unified Gas Kinetics Scheme (SDUGKS) to solve the steady-state radiation problem. The SDUGKS schemes uses the method of differential discretization by characteristic line to achieve the reconstruction of the unit interface, and realizes the update of the cell data through a certain iterative format. This process realizes the effective simula-tion 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 conditions. This article introduc-es the deferred-correction(DC) method to update the unit data, and calculates the single-scale and multi-scale problems. In the single-scale problem, the correctness of the SDUGKS format to solve the steady-state radia-tion problem is verified, and the multi-scale problem is further constructed to be solved which verifies the as-ymptotic preservation and accuracy of SDUGKS in the calculation of multi-scale problems.

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

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