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Erschienen in:
Vision, Objectives and Research Activities Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

Numerical Uncertainties Estimation and Mitigation by Mesh Adaptation

verfasst von : Frédéric Alauzet, Alain Dervieux, Loïc Frazza, Adrien Loseille

Erschienen in: Uncertainty Management for Robust Industrial Design in Aeronautics

Verlag: Springer International Publishing

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Abstract

This chapter 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 chapter is to extend metric-based mesh adaptation to control a norm of the approximation error. This allows a more accurate output and in particular to control simultaneously the error on 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 source term for adjoint-based mesh adaptation. The estimate is derived within the continuous mesh framework, yielding naturally a fully anisotropic estimate.

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Vorheriges Kapitel Uncertainties for Thermoacoustics: A First Analysis
Nächstes Kapitel General Introduction to Polynomial Chaos and Collocation Methods
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Metadaten
Titel
Numerical Uncertainties Estimation and Mitigation by Mesh Adaptation
verfasst von
Frédéric Alauzet
Alain Dervieux
Loïc Frazza
Adrien Loseille
Copyright-Jahr
2019
Buch
Uncertainty Management for Robust Industrial Design in Aeronautics

Print ISBN: 978-3-319-77766-5

Electronic ISBN: 978-3-319-77767-2

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-319-77767-2_6

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