Mathematical and numerical foundations of turbulence models and applications /

Mathematical and numerical foundations of turbulence models and applications /

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Bibliographic Details
Author / Creator:	Chacón Rebello, Tomás, author.
Imprint:	New York : Birkhäuser, 2014.
Description:	1 online resource.
Language:	English
Series:	Modeling and simulation in science, engineering and technology, 2164-3725 Modeling and simulation in science, engineering & technology.
Subject:	Turbulence -- Mathematical models. Hydraulic models. Fluid dynamics. Fluid dynamics. Hydraulic models. Turbulence -- Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11085998

Hidden Bibliographic Details
Other authors / contributors:	Lewandowski, Roger, author.
ISBN:	9781493904556 1493904558 9781493904549 149390454X
Notes:	Includes bibliographical references and index. Print version record.
Summary:	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 resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists, and climatologists.
Other form:	Print version: Chacón Rebello, Tomás. Mathematical and numerical foundations of turbulence models and applications 9781493904549
Standard no.:	10.1007/978-1-4939-0455-6

Table of Contents:

Introduction
Incompressible Navier-Stokes Equations
Mathematical Basis of Turbulence Modeling
The k-[epsilon] 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.