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本文研究并给出了基于离散伴随理论和自动微分技术构建离散伴随系统的方法、伴随系统的求解策略以及基于离散伴随方法的透平叶栅气动优化设计流程,建立了相应的优化设计系统。利用该优化系统在无黏环境下,以叶栅通道进出口的熵增率为目标函数、以叶栅通道内的质量流量为约束,对某二维跨音速透平叶栅进行了气动优化设计。与优化前相比,优化后透平叶栅进出口熵增率减少8.82%,质量流量变化幅度小于0.003%。优化结果表明,本文提出的优化系统能够有效改善透平叶栅的气动优化性能,验证了本文提出的基于离散伴随方法的透平叶栅气动优化设计方法的正确性与有效性。
In this paper, a method to construct discrete adjoint system based on discrete adjoint theory and automatic differential technique is presented. With the solution of the system and the aerodynamic optimization design procedure of turbine cascade based on discrete adjoint method, the corresponding optimal design system is established. With the optimization system, the entropy increase rate of the entrance and exit of the cascade is taken as the objective function in the non-viscous environment. The aerodynamic optimization design of a two-dimensional transonic cascade is carried out with the mass flow in the cascade. . Compared with the pre-optimization, the entropy increase of import and export of the optimized turbine cascade decreased by 8.82% and the variation of mass flow was less than 0.003%. The optimization results show that the proposed optimization system can effectively improve the aerodynamic optimization performance of turbine cascade and verify the correctness and effectiveness of the aerodynamic optimization design method based on discrete companion method proposed in this paper.