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Titlebook: Navier-Stokes Turbulence; Theory and Analysis Wolfgang Kollmann Textbook 20191st edition Springer Nature Switzerland AG 2019 Navier Stokes.

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书目名称Navier-Stokes Turbulence
副标题Theory and Analysis
编辑Wolfgang Kollmann
视频video
概述Outlines fundamental difficulties and presents several approaches for their analysis and solution.Emphasizes mathematical treatment of turbulent flows and methods for their computation.Reinforces conc
图书封面Titlebook: Navier-Stokes Turbulence; Theory and Analysis Wolfgang Kollmann Textbook 20191st edition Springer Nature Switzerland AG 2019 Navier Stokes.
描述The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition... ..
出版日期Textbook 20191st edition
关键词Navier Stokes; Fluid dynamics; Characteristic functionals and the Hopf equations; Structure of turbulen
版次1
doihttps://doi.org/10.1007/978-3-030-31869-7
isbn_softcover978-3-030-31871-0
isbn_ebook978-3-030-31869-7
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Phase and Test Function Spaces,The state of a flow can be represented as a point or a pathline in an appropriately set up function space, called phase space and denoted by ., which contains all possible flow states for all times.
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,Characteristic Functionals for Incompressible Turbulent Flows,The Fourier transform of a finite-dimensional Pdf is the characteristic function, hence contains probabilistic information equivalent to the Pdf/Cdf. The main difference to the Pdfs is its relation to statistical moments, which follow from the characteristic function by differentiation at the origin of the argument space ..
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,Solution of Hopf-Type Equations in the Spatial Description,The assumption that the IBVP for the Navier–Stokes pdes governing the motion of incompressible fluids is well posed (.) leads to a formal solution of Hopf-type fdes, [.,.,.]. The assumption implies the existence of the solution operator .: . with unique inverse ..
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,Equilibrium Theory of Kolmogorov and Onsager,Homogeneous turbulence cannot be in equilibrium since the kinetic energy . (kinetic energy is usually denoted by ., but the notation is changed to avoid confusion with the wavenumber) of turbulence can be shown to satisfy in this case.
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