湍流

图书标准信息

• 作者 [法]弗里希 著
• 出版社 世界图书出版公司
• 出版时间 2011-04
• 版次 1
• ISBN 9787510032943
• 定价 39.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 296页
• 正文语种 英语

【内容简介】

《湍流》是根据他多年来授课的教材整理而成的，主要内容是以Kolmogorov学派的湍流理论为主，系统介绍了半个世纪以来这一理论的发展及今后的研究方向，《湍流》内容新，重点突出，阐述深入浅出。最后一章还专门向读者介绍了如何阅读参考资料。

【目录】

preface
chapter1
introduction
1.1turbulenceandsymmetries
1.2outlineofthebook

chapter2
symmetriesandconservationlaws
2.1periodicboundaryconditions
2.2symmetries
2.3conservationlaws
2.4energybudgetscale-by-scale

chapter3
whyaprobabilisticdescriptionofturbulence?
3.1thereissomethingpredictableinaturbulentsignal
3.2amodelfordeterministicchaos
3.3dynamicalsystems
3.4thenavier-stokesequationasadynamicalsystem

chapter4
probabilistictools：asurvey
4.1randomvariables
4.2randomfunctions
4.3statisticalsymmetries
4.4ergodicresults
4.5thespectrumofstationaryrandomfunctions

chapter5
twoexperimentallawsoffullydevelopedturbulence
5.1thetwo-thirdslaw
5.2theenergydissipationlaw

chapter6
thekolmogorov1941theory
6.1kolmogorov1941andsymmetries
6.2kolmogorov'sfour-fifthslaw
6.2.1thek/trm/m-howarth-moninrelationforanisotropicturbulence
6.2.2theenergyfluxforhomogeneousturbulence
6.2.3theenergyfluxforhomogeneousisotropicturbulence
6.2.4fromtheenergyfluxrelationtothefour-fifthslaw
6.2.5remarksonkolmogorov'sfour-fifthslaw
6.3mainresultsofthekolmogorov1941theory
6.3.1thekolmogorov-obukhovlawandthestructurefunc-tions
6.3.2effectofafiniteviscosity：thedissipationrange
6.4kolmogorovandlandau：the！ackofuniversality
6.4.1theoriginalformulationoflandau'sobjection
6.4.2amodernreformulationoflandau'sobjection
6.4.3kolmogorovandlandaureconciled?
6.5historicalremarksonthekolmogorov1941theory

chapter7
phenomenologyofturbulenceinthesenseofkolmogorov1941
7.1introduction
7.2basictoolsofphenomenology
7.3therichardsoncascadeandthe！ocalnessofinteractions
7.4reynoldsnumbersanddegreesoffreedom
7.5microscopicandmacroscopicdegreesoffreedom
7.6thedistributionofvelocitygradients
7.7thelawofdecayoftheenergy
7.8beyondphenomenology：finite-timeblow-upofidealflow

chapter8
intermittency
8.1introduction
8.2self-similarandintermittentrandomfunctions
8.3experimentalresultsonintermittency
8.4exactresultsonintermlttency
8.5intermittencymodelsbasedonthevelocity
8.5.1theβ-model
8.5.2thebifractalmodel
8.5.3themultifractalmodel
8.5.4aprobabilisticreformulationofthemultifractalmodel
8.5.5theintermediatedissipationrangeandmultifractaluniversality
8.5.6theskewnessandtheflatnessofvelocityderivativesaccordingtothemultifractalmodel
8.6lntermittencymodelsbasedonthedissipation
8.6.1multifractaldissipation
8.6.2bridgingmultifractalitybasedonthevelocityandmul-tifractalitybasedonthedissipation
8.6.3randomcascademodels
8.6.4largedeviationsandmultifractality
8.6.5thelognormalmodelanditsshortcomings
8.7shellmodels
8.8historicalremarksonfraetalintermitteneymodels
8.9trendsinintermitteneyresearch
8.9.1vortexfilaments：thesinewsofturbulence?
8.9.2statisticalsignatureofvortexfilaments：dogortail?
8.9.3thedistributionofvelocityincrements

chapter9
furtherreading：aguidedtour
9.1introduction
9.2booksonturbulenceandfluidmechanics
9.3mathematicalaspectsoffullydevelopedturbulence
9.4dynamicalsystems，fractalsandturbulence
9.5closure，functionalanddiagrammaticmethods
9.5.1thehopfequation
9.5.2functionalanddiagrammaticmethods
9.5.3thedirectinteractionapproximation
9.5.4closuresandtheirshortcomings
9.6eddyviscosity，multiscalemethodsandrenormalization
9.6.1eddyviscosity：averyoldidea
9.6.2multiscalemethods
9.6.3applicationsofmultiscalemethodsinturbulence
9.6.4renormalizationgroup（rg）methods
9.7two-dimensionalturbulence
9.7.1cascadesandvortices
9.7.2two-dimensionalturbulenceandstatisticalmechanics.
9.7.3conservativedynamics'punctuated'bydissipativeevents
9.7.4fromflatlandtothree-dimensionalturbulence
references
authorindex
subjectindex