# Reduction and emulation of ADMS Urban

Abstract : ADMS Urban is a non-linear static model whose input data $p$ varies one simulated hour after the other. The model computes a high-dimensional concentration vector $y= ℳ(p)$ which can contain 10⁵ concentrations. A full-year simulation of $NO_2$ concentrations can take dozens of days of computations, which greatly limits the range of methods that can be applied to the model, especially for uncertainty quantification. This work proposes a method to replace ADMS Urban with a so-called emulator, i.e., a close approximation of ADMS Urban whose computational cost is negligible. First, the output concentration field $y$ is projected on a few modes of a proper orthogonal decomposition $[Ψ_1 ... Ψ_N]$, so that $y \simeq ∑^N_{j=1} \alpha_j Ψ_j$ where $\apha_j$ is the projection coefficient on $j$-th mode and $N$ smaller than 10. Then, the reduced model $f(p) = Ψ^T ℳ(p)$ is replaced by a statistical emulator $\hat{f}$ so that $\hat{f}(p) \simeq f(p)$ and the computational cost of $\hat{f}(p)$ is negligible.
Keywords :
Type de document :
Communication dans un congrès
HARMO 15 - 15th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Jun 2013, Madrid, Spain. 2013
Domaine :

Littérature citée [4 références]

https://hal.inria.fr/hal-00838802
Contributeur : Nathalie Gaudechoux <>
Soumis le : mercredi 18 décembre 2013 - 15:49:55
Dernière modification le : vendredi 25 mai 2018 - 12:02:03
Document(s) archivé(s) le : mercredi 19 mars 2014 - 05:41:55

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Mallet-Harmo15-2013-paper.pdf
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• HAL Id : hal-00838802, version 1

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Vivien Mallet, Anne Tilloy, David Poulet, Fabien Brocheton. Reduction and emulation of ADMS Urban. HARMO 15 - 15th International Conference on Harmonisation within Atmospheric Dispersion Modelling for Regulatory Purposes, Jun 2013, Madrid, Spain. 2013. 〈hal-00838802〉

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