In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopt...In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopts time-averaged aerodynamic coefficients as objective functions is presented. The time-accurate continuous adjoint equation and its boundary conditions are derived. The flow field and the adjoint equation are simulated numerically by the finite volume method （FVM）. Feasibility and accuracy of the approach are perfectly validated by the design optimization results of the plunging NACA0012 airfoil.展开更多
高精度气动优化是改善高超声速飞行器气动性能的必要途径。基于Navier-Stokes方程推导了连续伴随方程以及与气动力目标函数对应的边界条件和壁面灵敏度公式,考虑了层流输运系数变分对伴随方程的贡献,采用基于二阶熵修正Roe格式的伴随对...高精度气动优化是改善高超声速飞行器气动性能的必要途径。基于Navier-Stokes方程推导了连续伴随方程以及与气动力目标函数对应的边界条件和壁面灵敏度公式,考虑了层流输运系数变分对伴随方程的贡献,采用基于二阶熵修正Roe格式的伴随对流项离散形式,构造了适用于高超声速流动的连续伴随求解器;结合FFD(Free Form Deformation)参数化方法和SQP(Sequential Quadratic Programming)优化算法构建了高精度梯度优化框架;在高超声速来流条件下对二维翼型和Sanger飞行器机翼优化开展了验证和应用。结果显示,在高超声速流动条件下所采用的伴随对流项离散形式具有较好的鲁棒性和低耗散性;连续伴随求解器能够较好地给出气动力目标函数梯度;优化后Sanger机翼构型通过二次激波压缩实现了减阻增升,升阻比提高5.0%;验证了连续伴随优化作为高超声速飞行器高精度气动优化方法的可行性。展开更多
将连续伴随方程法与自由变形技术(Free Form Deform-FFD)相结合开展了跨声速机翼气动外形优化设计方法研究。采用Bernstein基函数建立了空间FFD参数化方法,并应用基于控制理论的连续伴随方程方法建立了目标函数对于待优化几何外形的梯...将连续伴随方程法与自由变形技术(Free Form Deform-FFD)相结合开展了跨声速机翼气动外形优化设计方法研究。采用Bernstein基函数建立了空间FFD参数化方法,并应用基于控制理论的连续伴随方程方法建立了目标函数对于待优化几何外形的梯度求解模式,将几何外形参数化方法、连续伴随方法以及CFD数值模拟技术相结合,研究、构建了适合跨声速机翼的气动外形优化设计系统。利用该系统对ONERA M6机翼及某型民用客机机翼进行了气动减阻设计,算例验证表明该方法应用于跨声速机翼气动减阻设计效果明显,并且能较好的保持几何表面连续性和光滑性。展开更多
基金supported by the Shanghai Municipal Natural Science Foundation(No.13ZR1415700)
文摘In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopts time-averaged aerodynamic coefficients as objective functions is presented. The time-accurate continuous adjoint equation and its boundary conditions are derived. The flow field and the adjoint equation are simulated numerically by the finite volume method （FVM）. Feasibility and accuracy of the approach are perfectly validated by the design optimization results of the plunging NACA0012 airfoil.
文摘高精度气动优化是改善高超声速飞行器气动性能的必要途径。基于Navier-Stokes方程推导了连续伴随方程以及与气动力目标函数对应的边界条件和壁面灵敏度公式,考虑了层流输运系数变分对伴随方程的贡献,采用基于二阶熵修正Roe格式的伴随对流项离散形式,构造了适用于高超声速流动的连续伴随求解器;结合FFD(Free Form Deformation)参数化方法和SQP(Sequential Quadratic Programming)优化算法构建了高精度梯度优化框架;在高超声速来流条件下对二维翼型和Sanger飞行器机翼优化开展了验证和应用。结果显示,在高超声速流动条件下所采用的伴随对流项离散形式具有较好的鲁棒性和低耗散性;连续伴随求解器能够较好地给出气动力目标函数梯度;优化后Sanger机翼构型通过二次激波压缩实现了减阻增升,升阻比提高5.0%;验证了连续伴随优化作为高超声速飞行器高精度气动优化方法的可行性。
文摘将连续伴随方程法与自由变形技术(Free Form Deform-FFD)相结合开展了跨声速机翼气动外形优化设计方法研究。采用Bernstein基函数建立了空间FFD参数化方法,并应用基于控制理论的连续伴随方程方法建立了目标函数对于待优化几何外形的梯度求解模式,将几何外形参数化方法、连续伴随方法以及CFD数值模拟技术相结合,研究、构建了适合跨声速机翼的气动外形优化设计系统。利用该系统对ONERA M6机翼及某型民用客机机翼进行了气动减阻设计,算例验证表明该方法应用于跨声速机翼气动减阻设计效果明显,并且能较好的保持几何表面连续性和光滑性。
