Adjoint-based aerodynamic shape optimization with hybridized discontinuous Galerkin methods

Aerodynamic shape optimization; Hybridized discontinuous Galerkin; Discrete adjoint; Rational splines parametrization; Inverse design; Compressible flows

Abstract :

[en] We present a discrete adjoint approach to aerodynamic shape optimization (ASO) based on a hybridized discontinuous Galerkin (HDG) discretization. Our implementation is designed to tie in as seamlessly as possible into a solver architecture written for general balance laws, thus adding design capability to a tool with a wide range of applicability. Design variables are introduced on designated surfaces using the knots of a 2D spline-based geometry representation, while gradients are computed from the adjoint solution using a difference approximation of residual perturbations. A suitable optimization algorithm, such as an in-house steepest descent or the Preconditioned Sequential Quadratic Programming (PSQP) approach from the pyOpt framework, is then employed to find an improved geometry. We present verification of the implementation, including drag or heat flux minimization in compressible flows, as well as inverse design.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Balis, Joachim ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR) ; VKI - Von Karman Institute for Fluid Dynamics [BE]

Jacobs, Frederik ; VKI - Von Karman Institute for Fluid Dynamics [BE]

May, Georg ; VKI - Von Karman Institute for Fluid Dynamics [BE]

Language :

English

Title :

Adjoint-based aerodynamic shape optimization with hybridized discontinuous Galerkin methods

Publication date :

2024

Journal title :

Computers and Fluids

ISSN :

0045-7930

Publisher :

Elsevier BV

Volume :

268

Pages :

106116

Peer reviewed :

Peer reviewed

Additional URL :

https://www.sciencedirect.com/science/article/pii/S0045793023003419?via%3Dihub

Available on ORBi :

since 20 November 2023

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