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Goal oriented mesh adaptation using total derivative of aerodynamic functions with respect to mesh coordinates

Jacques Peter 1, * Pierre Trontin 2 Maxime Nguyen-Dinh 3, 1
* Corresponding author
2 DSNA - Direction des services de la navigation aérienne de la DGAC
DGAC - Direction Générale de l'Aviation Civile
3 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : In aeronautical CFD, engineers require accurate predictions of the forces and moments but they are less concerned with flow-field accuracy. Hence, the so-called "goal oriented" mesh adapatation strategies have been introduced to get satisfactory values of functional outputs at an acceptable cost, using local node displacement and addition of new points rather than mesh refinement all over the computational domain. Most often, such methods involve the adjoint vector of the functional of interest. Our purpose is precisely to present a new goal oriented mesh adaptation strategy in the framework of finite-volume schemes and discrete adjoint method. It is based on the total derivative of goal with respect to (w.r.t.) mesh nodes. More precisely, a projection of this derivative, removing all components corresponding to geometrical changes in the solid walls or the support of the output, is used to adapt the meshes. The method is first demonstrated for an academic problem (1D Poisson equation). It is then assessed for Euler flows.
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https://hal.inria.fr/hal-00769599
Contributor : Jean-Antoine Désidéri <>
Submitted on : Wednesday, January 2, 2013 - 2:33:03 PM
Last modification on : Tuesday, March 16, 2021 - 3:42:04 PM

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  • HAL Id : hal-00769599, version 1

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Jacques Peter, Pierre Trontin, Maxime Nguyen-Dinh. Goal oriented mesh adaptation using total derivative of aerodynamic functions with respect to mesh coordinates. 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, American Institute of Aeronautics and Astronautics (AIAA), Jan 2011, Orlando, Florida, United States. ⟨hal-00769599⟩

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