Li D. Aerodynamic shape optimization with discretization error control: Diss. … Dr.-Ing. / Deutsches Zentrum für Luft- und Raumfahrt, Institut für Aerodynamik und Strömungstechnik, Braunschweig. - Köln: DLR, 2016. - x, 110 p.: ill., tab. - (Forschungsbericht; 2016-27). - Res. also Germ. - Bibliogr.: p.103-109. - ISSN 1434-8454 Шифр: (Pr 1120/2016-27) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Chapter 1 Introduction ......................................... 1 1.1 Background ................................................. 1 1.2 State of the art ........................................... 3 1.3 Thesis motivation and outline .............................. 5 Chapter 2 PADGE solver including error estimation and mesh adaptation ...................................................... 9 2.1 The compressible Euler equations ........................... 9 2.2 DG discretization of the compressible Euler equations ..... 11 2.3 Adjoint equations to the compressible Euler equations ..... 13 2.4 Adjoint-based error estimation and adaptive mesh refinement ................................................ 15 2.5 Curved wall boundaries .................................... 17 2.6 Target lift computations .................................. 18 2.7 Numerical examples ........................................ 19 Chapter 3 Aerodynamic shape optimization based on the PADGE solver ......................................................... 25 3.1 Basic concepts of optimization ............................ 25 3.2 Optimization framework based on PADGE ..................... 26 3.3 Parameterization .......................................... 29 3.4 Mesh update ............................................... 34 3.5 Treatment of the curved wall boundaries ................... 34 3.6 PADGE simulation .......................................... 36 3.7 Optimization algorithms ................................... 37 Chapter 4 Shape optimization with error control ............... 41 4.1 Gradient evaluation via the adjoint approach .............. 41 4.2 Optimization for a benchmark problem ...................... 45 4.3 Optimization for minimizing the drag of the RAE2822 airfoil in inviscid flow .................................. 58 4.4 Optimization for minimizing the drag of the RAE2822 airfoil in viscous flow ................................... 76 4.5 Optimization for minimizing the drag of the L1T2 profile in viscous flow ........................................... 84 Chapter 5 Conclusions and outlook .............................. 99 5.1 Conclusions ............................................... 99 5.2 Outlook .................................................. 102 References .................................................... 103