Least Squares Shadowing Sensitivity Analysis of Chaotic Flow Around a Two-Dimensional Airfoil
暂无分享,去创建一个
Qiqi Wang | Boris Diskin | Patrick J. Blonigan | Eric J. Nielsen | B. Diskin | Qiqi Wang | E. Nielsen | P. Blonigan
[1] M. Allen,et al. Sensitivity analysis of the climate of a chaotic system , 2000 .
[2] Myles R. Allen,et al. Sensitivity analysis of the climate of a chaotic ocean circulation model , 2002 .
[3] S. Pilyugin. Shadowing in dynamical systems , 1999 .
[4] Mark J. Friedman,et al. Numerical computation of heteroclinic orbits , 1989 .
[5] G. S. Fishman. Grouping Observations in Digital Simulation , 1978 .
[6] Peter A. Gnoffo,et al. Computational Aerothermodynamic Simulation Issues on Unstructured Grids , 2004 .
[7] John Thuburn,et al. Climate sensitivities via a Fokker–Planck adjoint approach , 2005 .
[8] Qiqi Wang,et al. Least squares shadowing sensitivity analysis of a modified Kuramoto–Sivashinsky equation , 2013, 1307.8197.
[9] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[10] D. Ruelle. Differentiation of SRB States , 1997 .
[11] W. K. Anderson,et al. Sensitivity Analysis for Navier-Stokes Equations on Unstructured Meshes Using Complex Variables , 2001 .
[12] Max D. Gunzburger. 2. Three Approaches to Optimal Control and Optimization , 2002 .
[13] Qiqi Wang,et al. Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least Square Shadowing (NI-LSS) , 2016 .
[14] Qiqi Wang,et al. Multiple Shooting Shadowing for Sensitivity Analysis of Chaotic Systems and Turbulent fluid flows , 2015 .
[15] W. K. Anderson,et al. An implicit upwind algorithm for computing turbulent flows on unstructured grids , 1994 .
[16] Eric J. Nielsen,et al. Multi-point Adjoint-Based Design of Tilt-Rotors in a Noninertial Reference Frame , 2014 .
[17] Qiqi Wang,et al. Convergence of the Least Squares Shadowing Method for Computing Derivative of Ergodic Averages , 2013, SIAM J. Numer. Anal..
[18] Qiqi Wang,et al. Least Squares Shadowing for Sensitivity Analysis of Turbulent Fluid Flows , 2014, 1401.4163.
[19] J. Alonso,et al. A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural Design , 2005 .
[20] Qiqi Wang,et al. Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations , 2012, J. Comput. Phys..
[21] Bengt Fornberg,et al. Numerical Differentiation of Analytic Functions , 1981, TOMS.
[22] M. Giles,et al. Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality , 2002, Acta Numerica.
[23] Andrew J. Majda,et al. Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems , 2007 .
[24] Max Gunzburger,et al. Perspectives in flow control and optimization , 1987 .
[25] Robert T. Biedron,et al. Recent Enhancements To The FUN3D Flow Solver For Moving-Mesh Applications , 2009 .
[26] G. Iaccarino,et al. Risk assessment of scramjet unstart using adjoint-based sampling methods , 2012 .
[27] Parviz Moin,et al. Risk Quantification in Unsteady Flow Simulations using Adjoint-based Approaches , 2009 .
[28] Juan Sánchez,et al. On the Multiple Shooting Continuation of Periodic orbits by Newton-Krylov Methods , 2010, Int. J. Bifurc. Chaos.
[29] D. Bodony,et al. Controller selection and placement in compressible turbulent flows By , 2012 .
[30] Qiqi Wang,et al. Uncertainty quantification for unsteady fluid flow using adjoint-based approaches , 2009 .
[31] Haitao Liao,et al. Efficient sensitivity analysis method for chaotic dynamical systems , 2016, J. Comput. Phys..
[32] Steven A Gomez,et al. Parallel multigrid for large-scale least squares sensitivity , 2013 .
[33] J. D. Farmer,et al. Optimal shadowing and noise reduction , 1991 .
[34] Boris Diskin,et al. Discrete Adjoint-Based Design for Unsteady Turbulent Flows on Dynamic Overset Unstructured Grids , 2012 .
[35] M. J. Rimlinger,et al. Constrained Multipoint Aerodynamic Shape Optimization Using an Adjoint Formulation and Parallel Computers , 1997 .
[36] Antony Jameson,et al. Aerodynamic design via control theory , 1988, J. Sci. Comput..
[37] Youcef Saad,et al. A Basic Tool Kit for Sparse Matrix Computations , 1990 .
[38] G. Eyink,et al. Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights , 2004 .
[39] Qiqi Wang,et al. Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS) , 2016, J. Comput. Phys..
[40] D. Venditti,et al. Grid adaptation for functional outputs: application to two-dimensional inviscid flows , 2002 .
[41] P. Spalart. A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .
[42] Y. Saad,et al. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .