Sensitivity analysis using anchored ANOVA expansion and high order moments computation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 2014

Sensitivity analysis using anchored ANOVA expansion and high order moments computation

Abstract

An anchored ANOVA method is proposed in this paper to decompose statistical moments. Compared to standard ANOVA with mutually orthogonal components, anchored ANOVA, with arbitrary anchor point, loses orthogonality if employing the same measure. However, an advantage consists in the considerably reduced number of deterministic solver's computations, which renders uncertainty quantification of real engineering problems much easier. Different from existing methods, covariance decomposition of output variance is used in this paper to take account of interactions between non-orthogonal components, yielding an exact variance expansion, and thus, with a suitable numerical integration method, provides a strategy that converges. This convergence is verified by studying academic tests. In particular, sensitivity problem of existing method to anchor point is analyzed via Ishigami case, and we point out covariance decomposition survives from it. Covariance-based sensitivity indices (SI) are also used, compared to variance-based SI. Furthermore, we emphasize covariance decomposition can be generalized in a straightforward way to decompose high order moments. For academic problems, results show the method converges to exact solution regarding both skewness and kurtosis. Finally, the proposed method is applied on a realistic case, i.e. estimating chemical reactions uncertainties in a hypersonic flow around a space vehicle during an atmospheric reentry.
Fichier principal
Vignette du fichier
RR-8531.pdf (655.12 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00987189 , version 1 (05-05-2014)

Identifiers

  • HAL Id : hal-00987189 , version 1

Cite

Kunkun Tang, Pietro Marco Congedo, Rémi Abgrall. Sensitivity analysis using anchored ANOVA expansion and high order moments computation. [Research Report] RR-8531, 2014. ⟨hal-00987189⟩
311 View
1160 Download

Share

Gmail Facebook Twitter LinkedIn More