Mathematical and Numerical Foundations of Turbulence Models and Applications
(Sprache: Englisch)
This monograph provides a detailed look at eddy viscosity models from theoretical and numerical angles. In particular, it gives a rigorous derivation of these models and shows through careful analysis how they can be applied to oceanic and atmospheric flows.
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This monograph provides a detailed look at eddy viscosity models from theoretical and numerical angles. In particular, it gives a rigorous derivation of these models and shows through careful analysis how they can be applied to oceanic and atmospheric flows.
Klappentext zu „Mathematical and Numerical Foundations of Turbulence Models and Applications “
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.
Inhaltsverzeichnis zu „Mathematical and Numerical Foundations of Turbulence Models and Applications “
PART I1. General modelization from the incompressible Navier-Stokes Equations to turbulent models
PART II
2. Some mathematical tools for analysing parabolic and elliptic equations with second hand side in L1
3. Theoretical results for the coupling of the Navier-Stokes Equations with eddy viscosity to the equation for the Turbulent kinetic energy: Stationnary case with Dirichlet boundary conditions
4. Theoretical results for the coupling of the Navier-Stokes Equations with eddy viscosity to the equation for the Turbulent kinetic energy: Evolutionary case with Dirichlet boundary conditions
5. The theoretical coupling of two turbulent flows modelized by models with the TKE equation and eddy viscosities and the usual interface condition
6. Navier boundary conditions: Notion of suitable solutions and existence result including the estimate for the pressure
PART III
7. Finite Element approximation of one-equation turbulence models: Discretization, stability and convergence analysis. Numerical tests
8. Finite Element approximation of coupled two-fluid turbulence models: Discretization, stability and convergence analysis. Numerical tests
9. Modeling of turbulent oceanic mixing-layer: Modeling, equilibria states, discretization, convergence of discretizations to equilibria states
PART IV
10. Variational Multi-Scale modeling of turbulence
Autoren-Porträt von Tomás Chacón Rebollo, Roger Lewandowski
The author is a professor at XX University.Bibliographische Angaben
- Autoren: Tomás Chacón Rebollo , Roger Lewandowski
- 2014, 2014, XVII, 517 Seiten, 9 farbige Abbildungen, Maße: 16,5 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 149390454X
- ISBN-13: 9781493904549
Sprache:
Englisch
Pressezitat
"The book is a valuable reference for the study of the mathematical foundations of several widely used turbulence models. It can be recommended for advanced graduate students and researchers in mathematical and numerical turbulence theory." (Joachim Naumann, zbMATH 1328.76002, 2016)
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