[1] Elliott J, Peraire J. Practical three-dimensional aerodynamic design and optimization using unstructured grids[J]. AIAA Journal, 1997, 35(9): 1479-1485.
[2] Nielsen E J, Anderson W K. Implementation of a parallel framework for aerodynamic design optimization on unstructured meshes[C]//Proceedings of Parallel Computational Fluid Dynamics, 1999.
[3] Nielsen E J, Anderson W K. Recent improvements in aerodynamic design optimization on unstructured meshes[J]. AIAA Journal, 2002, 40(6): 1155-1163.
[4] Nielsen E J, Kleb B. Efficient construction of discrete adjoint operators on unstructured grids by using complex variables, AIAA-2005-0324[R]. Reston: AIAA, 2005.
[5] Mavriplis D J. Formulation and multigrid solution of the discrete adjoint for optimization problems on unstructured meshes, AIAA-2005-0319[R]. Reston: AIAA, 2005.
[6] Mavriplis D J. A discrete adjoint-based approach for optimization problems on three-dimensional unstructured meshes, AIAA-2006-0050[R]. Reston: AIAA, 2006.
[7] Brezillon J, Dwight R P. Aerodynamic shape optimization using the discrete adjoint of the Navier-Stokes equations: applications towards complex 3D configurations[C]//KATnet Ⅱ Conference on Key Aerodynamic Technologies, 2009.
[8] Dwight R P, Brezillon J. Effect of various approximations of the discrete adjoint on gradient-based optimization, AIAA-2006-0690[R]. Reston: AIAA, 2006.
[9] Kim H J, Nakahashi K. Discrete adjoint method for unstructured Navier-Stokes solver, AIAA-2005-0449[R]. Reston: AIAA, 2005.
[10] Carpentieri G, Koren B. Development of the discrete adjoint for a 3D unstructured Euler solver, AIAA-2007-3954[R]. Reston: AIAA, 2007.
[11] Giles M B, Duta M C. Algorithm developments for discrete adjoint methods[J]. AIAA Journal, 2003, 41(2): 198-205.
[12] Lee B J, Kim C. Strategies for robust convergence characteristics of discrete adjoint method[J]. Computational Fluid Dynamics, 2009, 33: 633-639.
[13] Huang Y, Chen Z B, Liu G. Aerodynamic design method based on N-S equations and discrete adjoint approach[J]. Acta Aerodynamica Sinica, 1999, 17(4): 413-433. (in Chinese) 黄勇, 陈作斌, 刘刚. 基于伴随方程的翼型数值优化设计方法研究[J]. 空气动力学学报, 1999, 17(4): 413-433.
[14] Zhou Z, Chen Z B. Aerodynamic design method based on N-S equations and discrete adjoint approach[J]. Acta Aerodynamica Sinica, 2002, 20(2): 141-149. (in Chinese) 周铸, 陈作斌. 基于N-S方程的翼型气动优化设计[J]. 空气动力学学报, 2002, 20(2): 141-149.
[15] Xiong J T, Qiao Z D, Yang X D, et al. Optimum aerodynamic design of transonic wing based on viscous adjoint method[J]. Acta Aeronautica et Astronautica Sinica, 2007, 28(2): 281-285. (in Chinese) 熊俊涛, 乔志德, 杨旭东, 等. 基于黏性伴随方法的跨声速机翼气动优化设计[J]. 航空学报, 2007, 28(2): 281-285.
[16] Du L, Ning F F. Aerodynamic inverse design method for low Mach number airfoils[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(7): 1180-1188.(in Chinese) 杜磊, 宁方飞. 低速叶型气动反问题设计方法[J]. 航空学报, 2011, 32(7): 1180-1188.
[17] Du L, Ning F F. An approximate method for viscous inverse design based on adjoint equations[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(4): 597-606.(in Chinese) 杜磊, 宁方飞. 一种基于共轭方程法求解黏性反问题的简化方法[J]. 航空学报, 2012, 33(4): 597-606.
[18] Zuo Y T, Gao Z Z, Xia L. Aerodynamic design based on Euler equations and discrete adjoint approach[J]. Chinese Journal of Applied Mechanics, 2009, 26(1): 22-26. (in Chinese) 左英桃, 高正红, 夏露. 基于Euler 方程和离散共轭方法的气动外形优化设计[J]. 应用力学学报, 2009, 26(1): 22-26.
[19] Zuo Y T, Gao Z H, Zhan H. Aerodynamic design method based on N-S equations and discrete adjoint approach[J]. Acta Aerodynamica Sinica, 2009, 27(1): 67-72. (in Chinese) 左英桃, 高正红, 詹浩. 基于N-S方程和离散共轭方法的气动设计方法研究[J]. 空气动力学学报, 2009, 27(1): 67-72.
[20] Zuo Y T, Gao Z H, He J. Aerodynamic design method based on N-S equations and discrete adjoint approach[J]. Acta Aerodynamica Sinica, 2010, 28(5): 509-512. (in Chinese) 左英桃, 高正红, 何俊. 基于N-S 方程和离散共轭方法的气动外形设计[J]. 空气动力学学报, 2010, 28(5): 509-512.
[21] Wu W H, Fan Z L, Qin N. Adjoint operator method based aerodynamics optimization of airliner[C]//Computational Technologies for Commercial Aircraft and High Resolution, 2010: 309-317. (in Chinese) 吴文华, 范召林, 覃宁.基于伴随算子的大飞机布局多参数高精度优化[C]//大型客机与高精度计算方法学术研讨会, 2010: 309-317.
[22] Ma X Y, Fan Z L, Wu W H, et al. Aerodynamic shape optimization for wing based on NURBS[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(9): 1616-1621. (in Chinese) 马晓永, 范召林, 吴文华, 等. 基于NURBS方法的机翼气动外形优化[J]. 航空学报, 2011, 32(9): 1616-1621.
[23] Liu X Q, Qin N. Design of transonic wing based on adjoint method[C]//Computational Technologies for Commercial Aircraft and High Resolution, 2010: 256-265. (in Chinese) 刘学强, 覃宁. 基于伴随算子的跨音速机翼优化设计[C]//大型客机与高精度计算方法学术研讨会, 2010: 256-265.
[24] Guan J. Aerodynamic shape optimization for 2D airfoil based on adjoint equations[D]. Nanjing: College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 2011. (in Chinese) 关键. 基于伴随方程的二维翼型气动外形优化设计[D]. 南京: 南京航空航天大学航空宇航学院, 2011.
[25] Sharov D, Nakahashi K. Reordering of 3D hybrid unstrucrured grids for vectorized LU-SGS Navier-Stokes computations, AIAA-1998-0614[R]. Reston: AIAA, 1998.
[26] Venkatakrishnan V. On the accuracy of limiters and convergence to steady state solutions, AIAA-1993-0880[R]. Reston: AIAA, 1993.
[27] Van Leer B. Flux vector splitting for the Euler equations[J]. Lecture Notes in Physics, 1982, 170: 507-512.
[28] Spalart P R, Allmaras S R. A one-equation turbulence model for aerodynamic flows, AIAA-1992-0439[R]. Reston: AIAA, 1992.
[29] Moigne A L, Qin N. Variable-fidelity aerodynamic optimization for turbulent flows using a discrete adjoint formulation, AIAA-2004-1234[R]. Reston: AIAA, 2004.
[30] Amoiralis E I, Nikolos I K. Freeform deformation versus B-spline representation in inverse airfoil design[J]. Journal of Computing and Information Science in Engineering, 2008, 8(2): 13.
[31] Lamousin H J, Waggenspack W N. NURBS-based free-form deformations [J]. Computer Graphics and Applications, 1994, 14(6): 59-65. |