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

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Homogeneous Turbulence,Turbulence with statistical properties invariant with respect to translation is called homogeneous. Homogeneity allows significant simplification of the statistical equations governing the dynamics. The special case of homogeneous and isotropic turbulence is considered first.

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Wolfgang KollmannOutlines fundamental difficulties and presents several approaches for their analysis and solution.Emphasizes mathematical treatment of turbulent flows and methods for their computation.Reinforces conc

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https://doi.org/10.1007/978-3-030-31869-7Navier Stokes; Fluid dynamics; Characteristic functionals and the Hopf equations; Structure of turbulen

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Basic Properties of Turbulent Flows,iven. At the end of the section, a working definition of turbulence is proposed, which is deduced from these properties. Only Newtonian fluids and the idealization of an inviscid fluid will be considered. The spatial description is used throughout this section.

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Finite-Dimensional Characteristic Functions, Pdfs and Cdfs Based on the Dirac Distribution,llmann [.], Pope [.], Fox [.]). The pdes in the spatial description for the Cdf and Pdf are derived in the present chapter for turbulent flows of an incompressible fluid plus passive scalars to analyse to role of convection, molecular transport and the pressure.

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Properties and Construction of Mappings,us and non-homogeneous turbulence, in particular turbulent combustion, Pope [.], Valiño et al. [.]. This goal is achieved by avoiding the Pdf equation altogether and solving the mapping equation instead, recovering the Pdf via a local relation involving the Jacobian of the mapping.