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＜電子ブック＞
Mathematical and Numerical Foundations of Turbulence Models and Applications / by Tomás Chacón Rebollo, Roger Lewandowski
(Modeling and Simulation in Science, Engineering and Technology. ISSN:21643725)

版	1st ed. 2014.
出版者	(New York, NY : Springer New York : Imprint: Birkhäuser)
出版年	2014
本文言語	英語
大きさ	XVII, 517 p. 18 illus., 9 illus. in color : online resource
著者標目	*Chacón Rebollo, Tomás author Lewandowski, Roger author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Fluid mechanics LCSH:Numerical analysis LCSH:Continuum mechanics LCSH:Mathematics FREE:Differential Equations FREE:Engineering Fluid Dynamics FREE:Numerical Analysis FREE:Continuum Mechanics FREE:Applications of Mathematics
一般注記	Introduction -- Incompressible Navier-Stokes Equations -- Mathematical Basis of Turbulence Modeling -- The k – ε Model -- Laws of the Turbulence by Similarity Principles -- Steady Navier-Stokes Equations with Wall Laws and Fixed Eddy Viscosities -- Analysis of the Continuous Steady NS-TKE Model -- Evolutionary NS-TKE Model -- Finite Element Approximation of Steady Smagorinsky Model -- Finite Element Approximation of Evolution Smagorinsky Model -- A Projection-based Variational Multi-Scale Model -- Numerical Approximation of NS-TKE Model -- Numerical Experiments -- Appendix A: Tool Box With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering, and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation, and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resourcefor advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists, and climatologists HTTP:URL=https://doi.org/10.1007/978-1-4939-0455-6

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