Anisotropic Norm-Oriented Mesh Adaptation for Compressible Inviscid Flows - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2015

Anisotropic Norm-Oriented Mesh Adaptation for Compressible Inviscid Flows


The paper gives an unified formalism that encompasses the two most common mesh adaptation strategies: Hessian-based and goal-oriented. The first one is based on the control of the interpolation error of a solution field. The second one relies on the control of the approximation error of a scalar-output functional. Both of them have been widely used in aeronautics and derived in an anisotropic context by using a metric-based approach. If Hessian-based mesh adaptation is completely generic, it does not account for discretization error of the PDE at hand, contrary to the goal-oriented approach. The scope of this paper is to extend metric-based mesh adaptation to control a norm of the approximation error. This allows us to control simultaneously multiple functionals of interest as lift, drag, moment, without the need to solve multiple adjoint states. The procedure is based on the derivation of a corrector term that is then used as a functional for adjoint based-mesh adaptation. The estimate is derived within the continuous mesh framework, yielding naturally a fully anisotropic estimate.
Fichier principal
Vignette du fichier
Orlando-norm-oriented.pdf (5.1 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-01256131 , version 1 (14-01-2016)


  • HAL Id : hal-01256131 , version 1


Adrien Loseille, Alain Dervieux, Frédéric Alauzet. Anisotropic Norm-Oriented Mesh Adaptation for Compressible Inviscid Flows. 53rd AIAA Aerospace Sciences Meeting, AIAA SciTech, Jan 2015, Kissimmee, Florida, United States. ⟨hal-01256131⟩
123 View
116 Download


Gmail Mastodon Facebook X LinkedIn More