Automatic differentiation based discrete adjoint method for aerodynamic design optimization on unstructured meshes
نویسندگان
چکیده
منابع مشابه
Adjoint-based aerodynamic shape optimization on unstructured meshes
In this paper, the exact discrete adjoint of an unstructured finite-volume formulation of the Euler equations in two dimensions is derived and implemented. The adjoint equations are solved with the same implicit scheme as used for the flow equations. The scheme is modified to efficiently account for multiple functionals simultaneously. An optimization framework, which couples an analytical shap...
متن کاملAerodynamic Design Using Unstructured Meshes
A methodology for performing optimization on 2D and 3D unstructured grids based on the Euler equations is presented. The same, low-memory-cost explicit relaxation algorithm is used to resolve the discrete equations which govern the ow, linearized direct and adjoint problems. The analysis schemes, for both 2D and 3D, are high resolution Local-Extremum-Diminishing (LED) schemes and use Roe decomp...
متن کاملPractical 3d Aerodynamic Design and Optimization Using Unstructured Meshes
A methodology for performing optimization on 3D unstructured grids based on the Euler equations is presented. The same, low-memory-cost explicit relaxation algorithm is used to resolve the discrete equations which govern the ow, linearized direct and adjoint problems. The analysis scheme is a high resolution Local-Extremum-Diminishing (LED) type scheme which uses Roe decomposition for the dissi...
متن کاملAerodynamic Design Optimization on Unstructured Grids with a Continuous Adjoint Formulation
A continuous adjoint approach for obtaining sensitivity derivatives on unstructured grids is developed and analyzed. The derivation of the costate equations is presented, and a second-order accurate discretization method is described. The relationship between the continuous formulation and a discrete formulation is explored for inviscid, as well as for viscous flow. Several limitations in a str...
متن کاملAerodynamic Shape Optimization Using the Adjoint Method
These Lecture Notes review the formulation and application of optimization techniques based on control theory for aerodynamic shape design in both inviscid and viscous compressible flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chinese Journal of Aeronautics
سال: 2017
ISSN: 1000-9361
DOI: 10.1016/j.cja.2017.01.009