Modèles de substitution multifidélité en calcul de structures

Abstract : We wish to show how multifidelity metamodel (or substitution model), whether in the context of optimization, or the creation of a "virtual chart", constitute an interesting answer that can use all levels of modelling (simple analytical or numerical models, linear and non-linear finite element models), or even experimental results. Metamodels are very widespread today, because they provide an interesting solution to the problem of the cost of simulations inherent to problems of optimization, sensitivity analysis, exploration of a design space... The aim here is to show how we can extend these metamodels (and in particular those based on kriging or more broadly on Gaussian processes) to the use of several simulations of different fidelity levels. We will illustrate the functioning of these methods on simple cases to understand their functioning, then we will show on some more complex cases their use in coupling with numerical simulations in calculation of structures at different levels of fidelity. For the purposes of this paper, the different levels of fidelity will correspond to more or less complete scale models associated with non-linear simulations (friction contact assemblies, viscoplasticity calculations, etc.), but this framework is only a special case of metamodel multifidelity/scale models coupling which does not detract from the generality of the approach. The construction of a multifidelity metamodel uses different "modules" independent of the simulation codes allowing their use in a wide variety of environments.
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Submitted on : Tuesday, November 27, 2018 - 8:46:14 PM
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  • HAL Id : hal-01937099, version 1

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Pierre-Alain Boucard, David Néron, Bruno Soulier, Stéphane Nachar, Christian Rey, et al.. Modèles de substitution multifidélité en calcul de structures. Conférence Régionale NAFEMS France 2018, Nov 2018, PARIS, France. ⟨hal-01937099⟩

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