MultiScale Simulations (An Introduction to Complex Systems in Environment)

Auteur(s) : Yacine MEZEMATE, Daniel SCHERTZER    2017-04-14,  2017-04-14  Éditeur(s) : Ecole des Ponts ParisTech   ENPC, UNIT   UNIT;     Description : We have seen during the previous lecture the concept of cascade phenomenology and the different models that can be found in the literature. It has been showed the cascade generation is based on the scale invariance propriety and the multiplicative process. The use of simulation is increasingly common in environmental field because it allows us to access to information at small scale and to have a detailed description and understanding of the process. In the stochastic simulation we simulate the evolution of variables that can change stochastically (randomly) with certain probabilities. We will show in this lecture some of techniques to simulate (generate) some stochastic fields according to some probability distribution. We focus on the multifractal simulation tp show how can we generate a multi-scale (conservative and non-conservative) field . We finished with two exercises in order to practice the different techniques. Module 9 of the course set "An Introduction to Complex Systems in Environment" Mots-clés libres : complex systems in environment, environmental engineering, multi-scale simulation, random dynamical system, Markov processes, Brownian motion, ingénierie de l'environnement, système complexe, Multifractal simulation Accès à la ressource : https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/9_Mu... Conditions d'utilisation : Cet ensemble de supports pédagogiques est la propriété, à parts égales, d’UNIT et de l'École des Ponts ParisTech. Il est régi par la licence logicielle GPL, dans sa version française CeCILL (http://www.cecill.info/licences/Licence_CeCILL-V1_VF.pdf).

DONNEES PEDAGOGIQUES Type pédagogique : lecture, exercise Granularité : 4 Niveau : higher education, bac+3 Public cible : teacher, learner, manager Langue de l'apprenant : fre Niveau d'interactivité du document : medium DONNEES TECHNIQUES Format : text/html

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