Statistical Mechanics of Turbulent Flows

2003
ISBN: 978-3-540-40103-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 216 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1150 g

The simulation of turbulent flows, connected with environmental protection and the design of chemical and engineering processes, is increasingly important and requires the assessment of complicated interactions, especially in reactive flows. This monograph systematically discusses which statistical methods are appropriate for computing turbulent flows, with special emphasis on environmental and geophysical flows. Applications to similar problems in physics and chemical and mechanical engineering are also described, as are some in nonlinear atmospheric chemistry. Statistical Mechanics of Turbulent Flows treats the underlying stochastic basics and applications, up through current developments in methods for calculating multi-phase flows. Readers learn how to construct a customized probability density function (PDF) for a given problem. The author, who has participated in the development of these efficient and effective methods, wrote this book for advanced students and practitioners.

Zielgruppe

Graduate

Autoren/Hrsg.

Heinz, Stefan

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Geowissenschaften Geologie Meteorologie, Klimatologie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Angewandte Physik Geophysik
• Naturwissenschaften Physik Thermodynamik
• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)
• Geowissenschaften Umweltwissenschaften Umweltüberwachung, Umweltanalytik, Umweltinformatik
• Geowissenschaften Umweltwissenschaften Angewandte Ökologie

Inhaltsverzeichnis

Introduction: The basic equations; Turbulence models; Filter operations.- Stochastic variables: PDFs of one variable; The characterization of PDFs by moments; PDFs of several variables; Statistically most-likely PDFs; Examples for statistically most-likely PDFs; Examples for other PDFs; Theta and delta functions.- Stochastic processes: PDF transport equations; The Fokker-Planck equation; An exact solution to the Fokker-Planck equation; Stochastic equations for realizations; Stochastic modeling; The dynamics of relevant variables.- The equations of fluid and thermodynamics: The fluid dynamic variables; From the molecular to fluid dynamics; The closure of the fluid dynamic equations; The equations for multicomponent reacting systems; Direct numerical simulation; Reynolds-averaged Navier-Stokes equations; Second- and higher-order RANS equations.- Stochastic models for large-scale turbulence: A hierarchy of stochastic velocity models; The generalized Langevin model for velocities; A hierarchy of Langevin models; The Kolmogorov constant; A hierarchy of stochastic models for scalars; Compressible reacting flow: velocity models; Compressible reacting flow: scalar models; Stochastic models and basic equations; Consistent turbulence models; Nonlinear stochastic models.- Stochastic models for small-scale turbulence: The generalization of LES by FDF methods; The closure of the equation for filtered velocities; The closure of the scalar FDF transport equation; The closure of LES and FDF equations; The dynamic eddy length scale calculation; The scalar-conditioned convective flux; An assumed-shape FDF method.- The unification of turbulence models: The need for the unification of turbulence models; Unified turbulence models; Some unsolved questions. References.- Author index.- Subject index.