Stochastic generation of homogeneous isotropic turbulence with well-defined-spectra

A precise and simple computational model to generate well-behaved two-dimensional turbulent flows is presented. The whole approach rests on the use of stochastic differential equations and is general enough to reproduce a variety of energy spectra and spatiotemporal correlation functions. Analytical...

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Detalhes bibliográficos
Autores: Careta Pons, Agustí, Sagués i Mestre, Francesc, Sancho, José M.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:1993
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18716
Acesso em linha:https://hdl.handle.net/2445/18716
Access Level:acceso abierto
Palavra-chave:Física matemàtica
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Mathematical physics
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
Descrição
Resumo:A precise and simple computational model to generate well-behaved two-dimensional turbulent flows is presented. The whole approach rests on the use of stochastic differential equations and is general enough to reproduce a variety of energy spectra and spatiotemporal correlation functions. Analytical expressions for both the continuous and the discrete versions, together with simulation algorithms, are derived. Results for two relevant spectra, covering distinct ranges of wave numbers, are given.