Automated derivation of the adjoint of high-level transient finite element programs

PE Farrell, DA Ham, SW Funke, ME Rognes - SIAM Journal on Scientific …, 2013 - SIAM
In this paper we demonstrate a new technique for deriving discrete adjoint and tangent
linear models of a finite element model. The technique is significantly more efficient and …

[HTML][HTML] Dimensionality reduction for regularization of sparse data-driven RANS simulations

P Piroozmand, O Brenner, P Jenny - Journal of Computational Physics, 2023 - Elsevier
Data assimilation can reduce the model-form errors of RANS simulations. A spatially
distributed corrective parameter field can be introduced into the closure model, whose …

Three-dimensional large-scale aerodynamic shape optimization based on shape calculus

S Schmidt, C Ilic, V Schulz, NR Gauger - AIAA journal, 2013 - arc.aiaa.org
Large-scale three-dimensional aerodynamic shape optimization based on the compressible
Euler equations is considered. Shape calculus is used to derive an exact surface formulation …

An improved TLBO based memetic algorithm for aerodynamic shape optimization

X Qu, R Zhang, B Liu, H Li - Engineering Applications of Artificial …, 2017 - Elsevier
Aerodynamic shape optimization (ASO) for aircraft is the focus of concern as well as the
subject of substantial research issue in aerospace engineering. This paper proposes a …

Algorithmic differentiation of the Open CASCADE Technology CAD kernel and its coupling with an adjoint CFD solver

M Banović, O Mykhaskiv, S Auriemma… - Optimization Methods …, 2018 - Taylor & Francis
Computer-aided design (CAD) tools are extensively used to design industrial components,
however, contrary to eg computational fluid dynamics (CFD) solvers, shape sensitivities for …

Multidisciplinary Design Optimization Processes for Efficiency Improvement of Aircraft: State-of-the-Art Review

J Leng, Z Wang, W Huang, Y Shen, K An - International Journal of …, 2024 - Springer
During actual flight processes, aircraft face various complex operating conditions and must
consider the requirements of different disciplines to achieve good overall performance …

The continuous adjoint approach to the k–ω SST turbulence model with applications in shape optimization

IS Kavvadias, EM Papoutsis-Kiachagias… - Engineering …, 2015 - Taylor & Francis
In this article, the gradient of aerodynamic objective functions with respect to design
variables, in problems governed by the incompressible Navier–Stokes equations coupled …

[PDF][PDF] Efficient large scale aerodynamic design based on shape calculus

S Schmidt - 2010 - ubt.opus.hbz-nrw.de
Large scale non-parametric applied shape optimization for computational fluid dynamics is
considered. Treating a shape optimization problem as a standard optimal control problem by …

Automatic shape derivatives for transient PDEs in FEniCS and Firedrake

JS Dokken, SK Mitusch, SW Funke - arXiv preprint arXiv:2001.10058, 2020 - arxiv.org
In industry, shape optimization problems are of utter importance when designing structures
such as aircraft, automobiles and turbines. For many of these applications, the structure …

A discrete adjoint framework for trailing-edge noise minimization via porous material

BY Zhou, SR Koh, NR Gauger, M Meinke, W Schöder - Computers & Fluids, 2018 - Elsevier
A discrete adjoint framework on the basis of algorithmic differentiation (AD) is developed for
trailing-edge noise minimization. Turbulent flow through porous media is modeled based on …