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Using the Adjoint Formulation for Target Functional-Based Mesh-Adaptation

Vollmer, Daniel (2007) Using the Adjoint Formulation for Target Functional-Based Mesh-Adaptation. DLR-Interner Bericht. DLR-IB 124-2007/1. 22 S.



In this paper we will present a goal-oriented mesh adaption for the DLR TAU code, together with first applications of the procedure to simple inviscid, 2D flow around airfoils. This improvement to the existing mesh adaption already available in the TAU code allows us to produce improved computational meshes that provide more accurate predictions for selected functionals of the flow solution such as drag or lift --- in fact, for any for which the necessary adjoint solution can be computed. After a short introduction to the problem at hand, we show the mathematical foundation of the method and its derivation. Next is a section on the implementation of the procedure into the DLR TAU code, followed by results of mesh refinement studies done with the new method and comparisons to global and the default feature (gradient) based adaption strategies. Lastly, we present our conclusions and discuss further work to improve the method and its implementation.

Item URL in elib:https://elib.dlr.de/50707/
Document Type:Monograph (DLR-Interner Bericht)
Title:Using the Adjoint Formulation for Target Functional-Based Mesh-Adaptation
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Date:March 2007
Refereed publication:No
Open Access:Yes
Number of Pages:22
Keywords:mesh adaptation, adjoint, residual, error indicator, functional correction, uncertainty
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Vollmer, Daniel
Deposited On:10 Aug 2007
Last Modified:31 Jul 2019 19:20

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