A methodology for the development of discrete adjoint solvers using automatic differentiation tools

DOI10.1080/10618560701678647zbMath1184.76832OpenAlexW2039406585MaRDI QIDQ3551615

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Publication date: 15 April 2010

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560701678647

zbMATH Keywords

automatic differentiationpartial differential equationssensitivitiesgradient-based optimizationdiscrete adjointadjoint solver

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Flow control and optimization for compressible fluids and gas dynamics (76N25) Basic methods in fluid mechanics (76M99)

Related Items (6)

On the handling of turbulence equations in RANS adjoint solvers ⋮ Adjoint formulation of a steady multistage turbomachinery interface using automatic differentiation ⋮ The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model ⋮ Toward optimally seeded airflow on hypersonic vehicles using control theory ⋮ The independent set perturbation adjoint method: A new method of differentiating mesh-based fluids models ⋮ Topology optimization of turbulent flows

Uses Software

• ADIFOR
• PETSc
• TAPENADE
• TAF
• Adjoint
• CFL3D

Cites Work

• First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
• Stable and accurate artificial dissipation
• Aerodynamic design via control theory
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Summation by parts operators for finite difference approximations of second derivatives
• A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design
• A differentiation-enabled Fortran 95 compiler
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On the performance of discrete adjoint CFD codes using automatic differentiation
• On optimum design in fluid mechanics
• The complex-step derivative approximation
• An introduction to the adjoint approach to design

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