[1] Turkel E. Preconditioning techniques in computational fluid dynamics[J]. Annual Review of Fluid Mechanics, 1999, 31(1): 385-416.
[2] Turkel E. Preconditioned methods for solving the incompressible and low speed compressible equations[J]. Journal of Computational Physics, 1987, 72: 277-298.
[3] Choi Y H, Merkle C L. The application of preconditioning to viscous flows[J]. Journal of Computational Physics, 1993, 105(2): 207-223.
[4] van Leer B, Lee W T, Roe P L. Characteristic time stepping or local preconditioning of the Euler equations. AIAA-1991-1552, 1991.
[5] Tweedt D L, Chima R V, Turkel E. Preconditioning for numerical simulation of low Machnumber three-dimensional viscous turbomachinery flows. AIAA-1997-1828, 1997.
[6] Briley W R, Taylor L K, Whitfield D L. High resolution viscous flow simulations at arbitrary Mach number[J]. Journal of Computational Physics, 2003, 184(1): 79-105.
[7] Guillard H, Violates C. On the behavior of upwind schemes in the low Mach number limit[J]. Computers and Fluids, 1999, 28(1): 63-86.
[8] Li X S, Gu C W. An all-speed Roe type scheme and its asymptotic analysis of low Mach number behaviour[J]. Journal of Computational Physics, 2008, 227(10): 5144-5159.
[9] Edwards J R. Towards unified CFD simulation of real fluid flows. AIAA-2001-2524, 2001.
[10] Edwards J R, Liou M S. Low diffusion flux-splitting schemes for flows at all speeds[J]. AIAA Journal, 1998.36(9): 1610-1617.
[11] Bauer F, Garabedian P, Korn D. Supercritical wine section. Lecture Notes in Economics and Math Systems, New York: Springer-Verlag, Section 1. 1972: 66; Section 2. 1975: 108.
[12] Schmidt E. Computation of supercritical compressor and turbine cascade with a design method fortransonic flow[J]. Journal of Engineering for Power, 1980, 102(1): 68-74.
[13] Jameson A. Aerodynamic design via control theory. AGARD-CP-463, 1989.
[14] Jameson A. Optimum aerodynamic design using CFD and control theory[J]. AIAA-1995-1729, 1995.
[15] Jameson A, Reuther J. Control theory based airfoildesign using the Euler equations[J]. AIAA-1994-4272, 1994.
[16] Nadarajah S, Jameson A. A comparison of the continuous and discrete adjoint approach to automatic aerodynamic optimization . AIAA-2000-0667, 2000.
[17] Jameson A, Alonso J J, Reuther J, et al. Aerodynamic shape optimization techniques based on control theory. AIAA-1998-2538, 1998.
[18] Reuther J, Jameson A. Aerodynamic shape optimization of wing and wing-body configurations using control theory. AIAA-1995-123, 1995.
[19] Reuther J, Jameson A, Alonso J J, et al. Constrained multipoint aerodynamic shape optimization using an adjoint formulation anparallel computers. AIAA-1997-103, 1997.
[20] 杨旭东,乔志德. 基于共轭方程法的跨音速机翼气动力优化设计[J]. 航空学报, 2003, 24(1): 1-5 Yang Xudong, Qiao Zhide. Optimum aerodynamic design of transonic wing based on adjoint equationsmethod[J]. Acta Aeronautica et Astronautica Sinica, 2003, 24(1): 1-5.(in Chinese)
[21] 杜磊,宁方飞. 基于控制理论的压气机叶型数值优化方法[J]. 航空动力学报,2009,24(3): 615-625. Du Lei, Ning Fangfei. Numerical optimization of compressor blade profile based on control theory[J]. Journal of Aerospace Power, 2009, 24(3): 615-625.(in Chinese)
[22] Asouti V G, Zymaris A S, Papadimitriou D I, et al. Continuous and discrete adjoint approaches for aerodynamic shape optimizationwith low Mach number preconditioning[J]. Internatinal Journal for Numerical Method in Fluids, 2008, 57(10): 1485-1504.
[23] Venkateswaran S, Li D, Merkle C L. Influence of stagnation regions on preconditioned solutions at low speeds. AIAA-2003-435, 2003.
[24] Sheng C, Wang X. Characteristic variableboundary conditions for arbitrary Mach number algorithm in rotating frame. AIAA-2003-3976, 2003.
[25] van Leer. Towards the ultimate conservative difference scheme V. second-order sequel to Godunov’s method[J].Journal of Computational Physics, 1979, 32(1): 101-136.
[26] Rizzi M. Runge-Kutta finite volume simulationof laminar transonic flow over NACA0012 airfoil using the Navier-Stokes equations. FFA TN, 1986-60, 1986.
[27] Yoon S, Jameson A. Lower upper symmetric Gauss-Sei-del method for the Euler and Navier-Stokes equations[J]. AIAA Journal, 1998, 26(9): 1025-1026.
[28] Xie L. Gradient-based optimum aerodynamic designusing adjoint methods. Virginia: Virginia Polytechnic Institute, State University, 2002.
[29] Hicks R M, Henne P A. Wing design by numerical optimization. AIAA-1977-1247, 1977.
[30] Broyden C G. The convergence of a class of doublerank minimization algorithms[J]. IMA Journal of Applied Mathematics,1970, 6(3): 76-90. |