Mathematical and Numerical Foundations of Turbulence Models and Applications [electronic resource] / by Tomás Chacón Rebollo, Roger Lewandowski.

By: Chacón Rebollo, Tomás [author.]
Contributor(s): Lewandowski, Roger [author.] | SpringerLink (Online service)
Material type: TextTextSeries: Modeling and Simulation in Science, Engineering and Technology: Publisher: New York, NY : Springer New York : Imprint: Birkhäuser, 2014Description: XVII, 517 p. 18 illus., 9 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781493904556Subject(s): Mathematics | Partial differential equations | Applied mathematics | Engineering mathematics | Numerical analysis | Fluids | Fluid mechanics | Mathematics | Partial Differential Equations | Engineering Fluid Dynamics | Numerical Analysis | Fluid- and Aerodynamics | Applications of MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.353 LOC classification: QA370-380Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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 resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists, and climatologists.

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