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Book Cover
E-book
Author Chacón Rebello, Tomás, author

Title Mathematical and numerical foundations of turbulence models and applications / Tomás Chacón Rebollo, Roger Lewanddowski
Published New York : Birkhäuser, 2014

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Description 1 online resource
Series Modeling and simulation in science, engineering and technology, 2164-3725
Modeling and simulation in science, engineering & technology.
Contents 880-01 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
880-01/(S 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
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
Analysis wiskunde
mathematics
partial differential equations
numerieke methoden
numerical methods
vloeistoffen (fluids)
fluids
aerodynamics
toegepaste wiskunde
applied mathematics
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Turbulence -- Mathematical models
Hydraulic models.
Fluid dynamics.
Hydrodynamics
TECHNOLOGY & ENGINEERING -- Hydraulics.
Fluid dynamics
Hydraulic models
Turbulence -- Mathematical models
Form Electronic book
Author Lewandowski, Roger, author
ISBN 9781493904556
1493904558