Cascade phenomenology (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 : Multiplicative cascade processes are frequently used as phenomenological models for the study of a variety of complex systems exhibiting fractal/multifractal behavior. In particular the energy dissipation field of fully developed turbulent flows has been most successfully modeled in such terms, physically motivated by Richardson's poem of energy transfer from large to small scales by random breakups of eddies. Multiplicative cascade models are based on two assumptions: the existence of a scale-independent and statistical independence of the random weights at one breakup from those of any other breakup. During this lesson, we will give the principle of cascade and in which context were developed. We introduce three types of models that describe the cascade phenomenology. We finished with two exercises which allows us to play with -model and the -model. Module 4 of the course set "An Introduction to Complex Systems in Environment" Mots-clés libres : complex systems in environment, environmental engineering, cascade phenomenology, multiplicative cascade model, intermittency, discrete cascade, auto-Similar spatial cascade, Self-affine cascade, ingénierie de l’environnement, système complexe, generalized scale invariance (GSI) Accès à la ressource : https://hmco.enpc.fr/UNIT_ComplexSystems/~gen/4_Ca... 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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