基于直角网格伴随自适应的声爆预测  

Adjoint-based adaptive Cartesian mesh refinement for sonic boom prediction

作　　者：朱震浩 肖天航[1] 徐雅楠 邓双厚[1] 张珍铭 余雄庆[1] ZHU Zhenhao;XIAO Tianhang;XU Yanan;DENG Shuanghou;ZHANG Zhenming;YU Xiongqing(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;Shanghai Electro-Mechanical Engineering Institute,Shanghai 201109,China)

机构地区：[1]南京航空航天大学航空学院,南京210016 [2]上海机电工程研究所,上海201109

出　　处：《北京航空航天大学学报》2023年第9期2432-2441,共10页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金(11672133);陕西省自然科学基础研究计划(2021JQ-078);航空科学基金(F2021110);航天进入减速与着陆技术实验室开放基金(EDL19092111)。

摘　　要：声爆预测是超声速民机设计关键技术之一,近场过压信号的精确计算是声爆预测的基础和重要环节。针对超声速民机声爆预测问题,发展了基于直角网格伴随自适应的超声速近场求解方法。运用有限体积法求解流体控制方程,以指定近场位置过压值平方的积分作为目标函数,通过求解离散伴随方程获得目标函数对流场残差的敏感度,评估和修正目标函数全局误差,并驱动网格自适应加密,通过局部加密逐渐减小各个网格单元的剩余误差,提高目标函数的计算精度。选取69°后掠三角翼翼身组合体和美国国家航空航天局(NASA)的C25D超声速民机模型进行算例验证并与试验数据对比,结果表明:与流场特征自适应网格方法相比,所提方法能够以更少的网格量,更精确地捕捉流场中的激波和膨胀波,得到更精确的近场过压信号分布,是一种可用于声爆预测的高精度、高效率的超声速近场求解方法。In view of the sonic boom prediction for supersonic transport,this paper develops a numerical method for supersonic near-field based on a finite volume scheme and an adjoint-based Cartesian adaptive mesh refinement for the governing equations.By solving the adjoint equation on an embedded-boundary Cartesian mesh,it can be determined that how sensitive the chosen output functional is to the residual of the discretized Euler equations,such as the surface integral of the related pressure signatures.Then,the computed adjoint variables render a correction term to improve the accuracy of the function on the coarse mesh and direct estimation of the remaining error to form an error estimate and a localized refinement parameter,according to which the Cartesian grid cells are locally refined subsequently.As a result,local mesh refinement steadily reduces each cell’s remaining error,improving the output function’s computational correctness.The 69°delta wing-body and NASA C25D configuration with powered nacelle are employed as validation cases where the computed results are compared with the documented experimental tests.Results show that compared with feature-based mesh refinement,the present adjoint-based refinement method captures the shock and expansion waves and the near-field pressure signatures with higher accuracy at a less computational cost,indicating its effectiveness and efficiency for sonic boom prediction.

关 键 词：超声速民机 声爆预测 伴随 误差估计 网格自适应 直角网格 

分 类 号：V221.3[航空宇航科学与技术—飞行器设计] TB553[理学—物理]