Global sensitivity analysis with 2d hydraulic codes: applied protocol and practical tool

Autor: Yann Richet, Philippe Gourbesville, Nathalie Bertrand, Olivier Delestre, Morgan Abily, Claire-Marie Duluc
Přispěvatelé: Innovative CiTy Lab (I-CiTy), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA), Institut de Radioprotection et de Sûreté Nucléaire (IRSN), Laboratoire Jean Alexandre Dieudonné (JAD), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), IRSN, IRSN - Institut de Radioprotection et de Sûreté Nucléaire, I-CiTy & Polytech Nice Sophia - Université de Nice Sophia Antipolis
Jazyk: angličtina
Rok vydání: 2016
Předmět:
FOS: Computer and information sciences
Mathematical optimization
Rank (linear algebra)
Computer science
Computation
flood hazard modelling
Analyser
Sobol index
2D shallow water equation
global sensitivity analysis
Uncertainty
Probability density function
Set (abstract data type)
Computational Engineering
Finance
and Science (cs.CE)
[SDU.STU.HY]Sciences of the Universe [physics]/Earth Sciences/Hydrology
uncertainty
Computer Science - Computational Engineering
Finance
and Science
Shallow water equations
Water Science and Technology
Parametric statistics
[STAT.AP]Statistics [stat]/Applications [stat.AP]
[SDE.IE]Environmental Sciences/Environmental Engineering
Sobol sequence
[INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA]
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
[INFO.INFO-DC]Computer Science [cs]/Distributed
Parallel
and Cluster Computing [cs.DC]
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Zdroj: La Houille Blanche-Revue internationale de l'eau
La Houille Blanche-Revue internationale de l'eau, EDP Sciences, 2015, 5, pp.16-22. ⟨10.1051/lhb/20150050⟩
ISSN: 0018-6368
1958-5551
DOI: 10.1051/lhb/20150050⟩
Popis: Sensitivity analysis methods are useful tools as they allow robustness of model predictions to be checked and help to identify input parameters influences. Most commonly, Monte-Carlo approach is performed to propagate uncertainties. Various methods are then available to rank parameters regarding their impact on result variability (such as Sobol index). The whole process constitutes a Global Sensitivity Analysis (GSA). In practice, such type of approach is of a great interest, but is still at an exploratory level in applied studies relying on 2D Shallow Water Equations (SWE) codes. Indeed, a GSA approach implementation is challenging as it requires specific tools and deals with important computational capacity. The aim of this paper is to provide both a protocol and a tool to allow adaptable and ready-to use GSA for 2D hydraulic modelling applications. The coupling of an environment for parametric computation (Prométhée) and a code relying on 2D SWE (FullSWOF_ 2D), Promethée-FullSWOF_ 2D (P-FS) tool has been set up. P-FS tool allows launching directly numerous set of computation using R software. For a GSA study, the steps are : i) to identify the 2D hydraulic code input parameters of interest and to assign them a probability density function, ii) to propagate uncertainties within the model, and (iii) to rank the effects of input parameters variability on the output of interest variance. In this paper, a proof of concept of a GSA protocol implemented for 2D SWE models is presented. For our study case, 2000 simulations of a river flood event were run with uncertainties introduced through three parameters using P-FS tool. Tests were performed on regular computational mesh, spatially discretizing an urban area, using up to 17.9 million of computational points. P-FS tool has been installed on a cluster for computation. Method and P-FS tool successfully allow performing a Monte-Carlo approach within this data-base of 2000 simulations, to test convergence of the Monte- Carlo approach, and to produce maps of Sobol’ indices. The light is put on advantages and limits of the method and of developed P-FS tool.
Abily Morgan, Delestre Olivier, Gourbesville Philippe, Bertrand Nathalie, Duluc Claire-Marie, Richet Yann. Global Sensitivity Analysis with 2D Hydraulic Codes: Applied Protocol and Practical Tool. In: SimHydro 2014. New Trends in Simulation. 11-13 June 2014 Ecole Polytech’ Nice (France) 2014.
Databáze: OpenAIRE
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