Regularization for Adjoint-Based Unsteady Aerodynamic Optimization Using Windowing Techniques

Unsteady aerodynamic shape optimization presents new challenges in terms of sensitivity analysis of time-dependent objective functions. In this work, we consider periodic unsteady flows governed by...

[1]  O. Pironneau On optimum design in fluid mechanics , 1974 .

[2]  Thomas D. Economon,et al.  Stanford University Unstructured (SU 2 ): An open-source integrated computational environment for multi-physics simulation and design , 2013 .

[3]  Jeffrey P. Thomas,et al.  Discrete Adjoint Approach for Modeling Unsteady Aerodynamic Design Sensitivities , 2005 .

[4]  Philippe R. Spalart,et al.  Detached-eddy simulation of an airfoil at high angle of attack , 1999 .

[5]  Beckett Yx Zhou,et al.  Challenges in Sensitivity Computations for (D)DES and URANS , 2019, AIAA Scitech 2019 Forum.

[6]  Frank Thiele,et al.  Optimal Control of Unsteady Flows Using a Discrete and a Continuous Adjoint Approach , 2011, System Modelling and Optimization.

[7]  Jacob K. White,et al.  Sensitivity Analysis for Oscillating Dynamical Systems , 2009, SIAM J. Sci. Comput..

[8]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[9]  Qiqi Wang,et al.  Sensitivity analysis of limit cycle oscillations , 2011, J. Comput. Phys..

[10]  Antony Jameson,et al.  Aerodynamic design via control theory , 1988, J. Sci. Comput..

[11]  Alexander Heinecke,et al.  Towards High-Performance Optimizations of the Unstructured Open-Source SU2 Suite , 2015 .

[12]  Beckett Y. Zhou,et al.  A Discrete Adjoint Framework for Unsteady Aerodynamic and Aeroacoustic Optimization , 2015 .

[13]  B. Diskin,et al.  Discrete Adjoint-Based Design Optimization of Unsteady Turbulent Flows on Dynamic Unstructured Grids , 2009 .

[14]  Antony Jameson,et al.  Optimum Shape Design for Unsteady Flows with Time-Accurate Continuous and Discrete Adjoint Methods , 2007 .

[15]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[16]  Qiqi Wang,et al.  Sensitivity analysis on chaotic dynamical systems by Finite Difference Non-Intrusive Least Squares Shadowing (FD-NILSS) , 2017, J. Comput. Phys..

[17]  Tim A. Albring,et al.  Efficient Aerodynamic Design using the Discrete Adjoint Method in SU2 , 2016 .

[18]  Qiqi Wang,et al.  Sensitivity analysis on chaotic dynamical systems by Non-Intrusive Least Squares Shadowing (NILSS) , 2016, J. Comput. Phys..

[19]  Qiqi Wang,et al.  Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations , 2012, J. Comput. Phys..

[20]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .