高速飞行器机体/推进一体化气动伴随优化

Integrated airframe/propulsion aerodynamic adjoint optimization for air-breathing high-speed vehicles

  • 摘要: 高速飞行器内外流之间耦合紧密、作用复杂,开展机体/推进一体化设计是提升总体性能的重要途径。本文开展了基于迎风格式及湍流变分的伴随方程构造研究,系统推导了无黏项、黏性项和边界条件雅克比等伴随方程左端项,以及总压恢复系数与推力系数变分形式等右端项。基于离散伴随方法、自由变形参数化方法和序列二次规划算法构建了伴随优化框架,并以某典型高速飞行器概念方案为对象开展机体/推进一体化优化设计。计算来流马赫数为6、迎角为4°、雷诺数为2.26×106,采用多块结构网格,共241个设计变量,在64核服务器上迭代15轮,耗时16 h。优化目标为全机升阻比、进气道总压恢复系数和喷管推力系数。结果表明,在满足约束条件的情况下,优化后外形升阻比提升2%、进气道总压恢复系数提升4.8%、喷管推力系数提升约0.5%,验证了本文所建立方法的鲁棒性、有效性与高效性。

     

    Abstract: The coupling between the internal and external flows of high-speed aircraft is tight and complex, and airframe/propulsion integrated design is an important approach to improving overall performance. The construction of adjoint equations based on an upwind scheme and turbulence variation is studied. The left-hand-side terms of the adjoint equation, including the inviscid term, viscous term, and boundary condition Jacobian, and the right-hand-side terms, including the variational forms of total pressure recovery coefficient and thrust coefficient, are systematically derived. Based on the discrete adjoint method, free-form deformation (FFD) parameterization, and sequential quadratic programming (SQP) algorithm, the adjoint optimization framework is constructed, and integrated airframe/propulsion optimization is carried out for a typical air-breathing high-speed vehicle, with the lift-to-drag ratio, inlet total pressure recovery coefficient, and nozzle thrust coefficient as the objectives. The free-stream Mach number is 6, the angle of attack is 4°, and the Reynolds number is 2.26×106. Multiblock structured grids are used, and 241 design variables are employed. The optimization is performed on a 64-core server and converges after 15 iterations within 16 h. The results show that the lift-to-drag ratio is increased by 2.1%, the total pressure recovery coefficient of the inlet is increased by 4.8%, and the thrust coefficient of the nozzle is increased by about 0.5%, which verifies the robustness, effectiveness, and efficiency of the method established in this paper.

     

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