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＜E-Book＞
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)

Edition	1st ed. 2014.
Publisher	New York, NY : Springer New York : Imprint: Birkhäuser
Year	2014
Language	English
Size	XVII, 517 p. 18 illus., 9 illus. in color : online resource
Authors	*Chacón Rebollo, Tomás author Lewandowski, Roger author SpringerLink (Online service)
Subjects	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
Notes	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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