Navier-Stokes turbulence : theory and analysis /: theory and analysis. ([2019])

• Record Type: Book
• Further Information: Note: Wolfgang Kollmann.
• Authors: Kollmann, Wolfgang, 1942-
• Contents: Introduction -- Navier-Stokes equations -- Basic properties of turbulent flows -- Flow domains and bases -- Phase and test function spaces -- Probability measure and characteristic functional -- Functional differential equations -- Characteristic functionals for incompressible turbulent flows -- Fdes for the characteristic functionals -- Solution of Hopf type equations in the spatial description -- The role of the pressure -- Properties and construction of Mappings -- M(): Single scalar in homogeneous turbulence -- M(N): Mappings for velocity-scalar and position-scalar Pdfs -- Integral transforms and spectra -- Intermittency -- Equilibrium theory of Kolmogorov and Onsager -- Homogeneous turbulence -- Length and time scales -- The structure of turbulent ows -- Wall-bounded turbulent ows -- The limit of in_nite Reynolds number for incompressible uids -- Appendix A: Mathematical tools -- Appendix B: Example for a measure on a ball in Hilbert space -- Appendix C: Scalar and vector bases for periodic pipe ow -- Modi_ed Jacobi polynomials Pa;b -- n (r) -- Orthonormalisation of the modi_ed polynomials Pa;b -- n (r) -- Test function space Np: Scalar _elds -- (i) Bases for the test function space Np -- Function spaces: Vector _elds -- (i) Construction of a general vector basis -- (ii) Construction of a solenoidal vector basis -- Gram-Schmidt orthonormalisation -- Appendix D: Green's function for periodic pipe ow -- Leray version of the Navier-Stokes pdes -- Appendix E: Semi-empirical treatment of simple wall-bounded ows -- Appendix F: Solutions to problems -- Bibliography.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource (xl, 725 pages), illustrations (some color)
• Subjects: 532.0527; Turbulence; Navier-Stokes equations; Navier-Stokes equations; Turbulence
• Languages: English
• ISBNs: 9783030318697; 3030318699
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed December 2, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.