Abstract

It is key points to improve the aerodynamic efficiency and decrease the sonic-boom intensity for the supersonic aircraft design. Sonic-boom prediction method with high precision combining the near-field sonic-boom prediction based on Reynolds-Averaged Navier-Stokes equations and the far-field sonic-boom prediction based on waveform parameter method is firstly established. Then the gradient of sonic boom with respect to the design variables is calculated by the finite difference method and is combined with the gradient of the aerodynamic object by the discrete adjoint technique, acting as the gradient of the weighed object function. Assembling two gradients, the optimization system couples Free Form Deform method、the dynamic mesh technique based on Inverse Distance Weighting interpolation method、the gradient-based optimization algorithm based on the sequential quadratic programming. Using the aerodynamic optimization system considering the sonic boom intensity, the paper conducts a nose angle deflection optimization design and an elaborate aerodynamic optimization including huge design variables and constraints on a supersonic business jet, while the optimization objects are the weighed object and the supersonic cruise drag coefficient. The results show that the nose is deflected downward and the shock wave pattern is changed, leading to a lower far-field maximum overpressure; the drag is decreased by 15.8 counts, and the wing load is moved inboard, also, the pressure drag of the outer wing reduces. Meanwhile, the pressure distribution in the outer wing has a weaker adverse pressure gradient and a more gentle pressure recovery. After optimization, the low-drag and low-sonic boom configuration is obtained, which verified the effectiveness of the optimization system.

Highlights

  • The results show that the nose is deflected downward and the shock wave pattern is changed, lead⁃ ing to a lower far⁃field maximum overpressure; the drag is decreased by 15.8 counts, and the wing load is moved inboard, also, the pressure drag of the outer wing reduces

  • [3] REUTHER J, ALONSO J J, RIMLINGER M J, et al Aerodynamic Shape Optimization of Supersonic Aircraft Configurations via an Adjoint Formulation on Distributed Memory Parallel Computers[ J]

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Summary

Introduction

西北工业大学学报 Journal of Northwestern Polytechnical University https: / / doi.org / 10.1051 / jnwpu / 20203820271 近年来,国内外学者对于超声速客机构型做了 大量研究工作。 国际研究委员会提出了超声速运输 机的 设计挑战和关键解决措施[6] 。 湾流公司的 Henne[7] 对超声速公务机的市场需求和发展趋势进 行了详细研究。 冯晓强[8] 进行了一系列基于 CFD 和波形参数法的声爆评估及设计研究。 李立等[9] 对超声速客机机翼进行了基于伴随方法的气动优化 设计。 目前国内外在对超声速客机构型进行设计 时,气动求解器和声爆评估主要采用较低精度的方 法。 评估方法精度不高,带来的问题是优化结果可 信度不高;且大都只是针对气动或声爆特性进行单 学科设计,少有考虑多学科之间的耦合作用。 本文 对气动声爆特性的评估,均采用基于 RANS 方程的 高精度 CFD 求解,可以对近场非线性效应进行精确 分析,同时,将声爆梯度与基于离散伴随方程的气动 优化设计框架进行耦合,既发挥了离散伴随方法在 求解大规模设计变量和约束时高效的优势,又能同 时考虑气动声爆之间的耦合直接对几何外形进行梯 度优化, 在评估手段精度和设计方法上都有较大 突破。 本文对基于离散伴随方程的高精度气动优化框 架进行了改进,通过有限差分法求解声爆值的梯度, 然后与气动目标对设计变量的梯度组装, 并耦合 FFD 参数化方法、基于逆距离权重插值的动网格算 法、序列二次规划算法等搭建了一套考虑声爆特性 的气动优化设计系统,能够对声爆和气动的权重组 合目标进行梯度优化。 利用该系统,对超声速公务 机翼身组合体构型先后进行了两轮优化,分别是考 虑声爆的机头偏转气动优化和机翼精细化气动减阻 优化设计,并利用基于 RANS 方程的流场求解器和 建立的基于近场 CFD 求解和远场波形参数法相结 合的高精度声爆评估方法对优化前后的构型进行了 气动、声爆特性的评估。

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