Improved Parameterization of Stably Stratified Boundary Layer Turbulence in Atmospheric Models

Download Improved Parameterization of Stably Stratified Boundary Layer Turbulence in Atmospheric Models PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (644 download)

DOWNLOAD NOW!


Book Synopsis Improved Parameterization of Stably Stratified Boundary Layer Turbulence in Atmospheric Models by :

Download or read book Improved Parameterization of Stably Stratified Boundary Layer Turbulence in Atmospheric Models written by and published by . This book was released on 2005 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the course of the project, our research has spanned over several areas encompassing theoretical, numerical and phenomenological aspects of stably stratified atmospheric boundary layers (SBLs). We have laid a solid foundation for studying stably stratified turbulence in the framework of a Quasi-Normal Scale Elimination theory (QNSE) developed by us. We consider the QNSE theory as a major breakthrough in this field. Being maximally proximate to the first principles, the theory penetrates very deeply into the physics of anisotropic turbulence and turbulence-wave interaction yet its calculations can be carried out analytically almost to the final results. We have performed initial analytical exploration of the new theory and implemented it in Reynolds-averaged, Navier-Stokes (RANS) models whose predictions agree well with data collected in BASE and SHEBA campaigns. In addition, we investigated non-local features of stable planetary boundary layers (PBLs) caused by semi-organized structures overlooked in traditional boundary-layer meteorology and in PBL schemes currently used in atmospheric models. Theoretical developments focused on basic length scales characterizing semi-organized structures and corresponding revision of classical similarity theory, PBL depth equations, and bulk resistance and heat/mass transfers laws.

An Examination of Structure and Parameterization of Turbulence in the Stably-stratified Atmospheric Boundary Layer

Download An Examination of Structure and Parameterization of Turbulence in the Stably-stratified Atmospheric Boundary Layer PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (27 download)

DOWNLOAD NOW!


Book Synopsis An Examination of Structure and Parameterization of Turbulence in the Stably-stratified Atmospheric Boundary Layer by : Paul Harold Ruscher

Download or read book An Examination of Structure and Parameterization of Turbulence in the Stably-stratified Atmospheric Boundary Layer written by Paul Harold Ruscher and published by . This book was released on 1987 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The very stable boundary layer is a region of the atmosphere typified by large vertical gradients of temperature and momentum. Analysis of very stable atmospheric flows is complicated by the presence of nonlinear interactions among gravity waves, shear-driven overturning circulations, two-dimensional vortical modes and intermittent turbulence in various stages of development. This study examines the horizontal structure of a very stable atmospheric boundary layer, using data obtained primarily from terrain-following aircraft flights over central Oklahoma. Several diagnostic procedures are applied to the aircraft data, including classical and rotary spectral analysis, principal component analysis, and structure functions. Coherent structures with sharp boundaries are examined with a new conditional sampling technique which requires little a priori specification of sampling criteria. Because the flows involve sharp boundaries, spectral techniques do not provide as much useful information as other more localized procedures. The edges of the coherent structures are regions of significant vertical heat transport, a feature not often emphasized in studies of gravity waves and vortical modes in the stable boundary layer. The presence of significant turbulence even for large stability has implications for modelling of the very stable boundary layer. Forecasts of minimum temperature, boundary layer height, inversion characteristics, and pollutant dispersal are all significantly affected by turbulent mixing. Many models of the stable boundary layer artificially arrest the mixing under stable conditions, resulting in, for example, overestimates of nocturnal cooling. A new parameterization of the stable boundary layer is studied here by incorporating it into an existing model of the planetary boundary layer. The model is then run with one-dimensional sensitivity tests for an idealized atmosphere and with data from Wangara day 33. A simulation over snow cover is also examined. The tests substantiate the role of vertical mixing in ameliorating nocturnal cooling. An additional improvement is a more realistic boundary layer height for moderate wind speeds.

Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer

Download Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319450441
Total Pages : 180 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer by : Cedrick Ansorge

Download or read book Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer written by Cedrick Ansorge and published by Springer. This book was released on 2016-09-15 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a study of strong stratification and turbulence collapse in the planetary boundary layer, opening a new avenue in this field. It is the first work to study all regimes of stratified turbulence in a unified simulation framework without a break in the paradigms for representation of turbulence. To date, advances in our understanding and the parameterization of turbulence in the stable boundary layer have been hampered by difficulties simulating the strongly stratified regime, and the analysis has primarily been based on field measurements. The content presented here changes that paradigm by demonstrating the ability of direct numerical simulation to address this problem, and by doing so to remove the uncertainty of turbulence models from the analysis. Employing a stably stratified Ekman layer as a simplified physical model of the stable boundary layer, the three stratification regimes observed in nature— weakly, intermediately and strongly stratified—are reproduced, and the data is subsequently used to answer key, long-standing questions. The main part of the book is organized in three sections, namely a comprehensive introduction, numerics, and physics. The thesis ends with a clear and concise conclusion that distills specific implications for the study of the stable boundary layer. This structure emphasizes the physical results, but at the same time gives relevance to the technical aspects of numerical schemes and post-processing tools. The selection of the relevant literature during the introduction, and its use along the work appropriately combines literature from two research communities: fluid dynamics, and boundary-layer meteorology.

Atmospheric Boundary Layers

Download Atmospheric Boundary Layers PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387743219
Total Pages : 239 pages
Book Rating : 4.3/5 (877 download)

DOWNLOAD NOW!


Book Synopsis Atmospheric Boundary Layers by : Alexander Baklanov

Download or read book Atmospheric Boundary Layers written by Alexander Baklanov and published by Springer Science & Business Media. This book was released on 2007-10-30 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents peer-reviewed papers from the NATO Advanced Research Workshop on Atmospheric Boundary Layers held in April 2006. The papers are divided into thematic sessions: nature and theory of turbulent boundary layers; boundary-layer flows: modeling and applications to environmental security; nature, theory and modeling of boundary-layer flows; air flows within and above urban and other complex canopies: air-sea-ice interaction.

A New Scheme for Parameterization of Turbulent Surface Fluxes in the Stably Stratified Atmospheric Boundary Layer

Download A New Scheme for Parameterization of Turbulent Surface Fluxes in the Stably Stratified Atmospheric Boundary Layer PDF Online Free

Author :
Publisher :
ISBN 13 : 9788774785927
Total Pages : pages
Book Rating : 4.7/5 (859 download)

DOWNLOAD NOW!


Book Synopsis A New Scheme for Parameterization of Turbulent Surface Fluxes in the Stably Stratified Atmospheric Boundary Layer by : Niels Woetmann Nielsen

Download or read book A New Scheme for Parameterization of Turbulent Surface Fluxes in the Stably Stratified Atmospheric Boundary Layer written by Niels Woetmann Nielsen and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Atmospheric Boundary Layer

Download The Atmospheric Boundary Layer PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521467452
Total Pages : 340 pages
Book Rating : 4.4/5 (674 download)

DOWNLOAD NOW!


Book Synopsis The Atmospheric Boundary Layer by : J. R. Garratt

Download or read book The Atmospheric Boundary Layer written by J. R. Garratt and published by Cambridge University Press. This book was released on 1994-04-21 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a comprehensive and lucid account of the science of the atmospheric boundary layer (ABL). There is an emphasis on the application of the ABL to numerical modelling of the climate. The book comprises nine chapters, several appendices (data tables, information sources, physical constants) and an extensive reference list. Chapter 1 serves as an introduction, with chapters 2 and 3 dealing with the development of mean and turbulence equations, and the many scaling laws and theories that are the cornerstone of any serious ABL treatment. Modelling of the ABL is crucially dependent for its realism on the surface boundary conditions, and chapters 4 and 5 deal with aerodynamic and energy considerations, with attention to both dry and wet land surfaces and sea. The structure of the clear-sky, thermally stratified ABL is treated in chapter 6, including the convective and stable cases over homogeneous land, the marine ABL and the internal boundary layer at the coastline. Chapter 7 then extends the discussion to the cloudy ABL. This is seen as particularly relevant, since the extensive stratocumulus regions over the subtropical oceans and stratus regions over the Arctic are now identified as key players in the climate system. Finally, chapters 8 and 9 bring much of the book's material together in a discussion of appropriate ABL and surface parameterization schemes in general circulation models of the atmosphere that are being used for climate simulation.

Turbulence in the Atmosphere

Download Turbulence in the Atmosphere PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1139485520
Total Pages : 407 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!


Book Synopsis Turbulence in the Atmosphere by : John C. Wyngaard

Download or read book Turbulence in the Atmosphere written by John C. Wyngaard and published by Cambridge University Press. This book was released on 2010-01-28 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on his over forty years of research and teaching, John C. Wyngaard's textbook is an excellent up-to-date introduction to turbulence in the atmosphere and in engineering flows for advanced students, and a reference work for researchers in the atmospheric sciences. Part I introduces the concepts and equations of turbulence. It includes a rigorous introduction to the principal types of numerical modeling of turbulent flows. Part II describes turbulence in the atmospheric boundary layer. Part III covers the foundations of the statistical representation of turbulence and includes illustrative examples of stochastic problems that can be solved analytically. The book treats atmospheric and engineering turbulence in a unified way, gives clear explanation of the fundamental concepts of modeling turbulence, and has an up-to-date treatment of turbulence in the atmospheric boundary layer. Student exercises are included at the ends of chapters, and worked solutions are available online for use by course instructors.

Data-driven Modeling of Intermittent Turbulence in the Stably Stratified Atmospheric Boundary Layer

Download Data-driven Modeling of Intermittent Turbulence in the Stably Stratified Atmospheric Boundary Layer PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

DOWNLOAD NOW!


Book Synopsis Data-driven Modeling of Intermittent Turbulence in the Stably Stratified Atmospheric Boundary Layer by : Vyacheslav Boyko

Download or read book Data-driven Modeling of Intermittent Turbulence in the Stably Stratified Atmospheric Boundary Layer written by Vyacheslav Boyko and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Boundary Layer Meteorology

Download An Introduction to Boundary Layer Meteorology PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9789027727695
Total Pages : 688 pages
Book Rating : 4.7/5 (276 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Boundary Layer Meteorology by : Roland B. Stull

Download or read book An Introduction to Boundary Layer Meteorology written by Roland B. Stull and published by Springer Science & Business Media. This book was released on 1988-07-31 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the excitement in boundary-layer meteorology is the challenge associated with turbulent flow - one of the unsolved problems in classical physics. An additional attraction of the filed is the rich diversity of topics and research methods that are collected under the umbrella-term of boundary-layer meteorology. The flavor of the challenges and the excitement associated with the study of the atmospheric boundary layer are captured in this textbook. Fundamental concepts and mathematics are presented prior to their use, physical interpretations of the terms in equations are given, sample data are shown, examples are solved, and exercises are included. The work should also be considered as a major reference and as a review of the literature, since it includes tables of parameterizatlons, procedures, filed experiments, useful constants, and graphs of various phenomena under a variety of conditions. It is assumed that the work will be used at the beginning graduate level for students with an undergraduate background in meteorology, but the author envisions, and has catered for, a heterogeneity in the background and experience of his readers.

Subgrid-scale Turbulence Modeling for Improved Large-eddy Simulation of the Atmospheric Boundary Layer

Download Subgrid-scale Turbulence Modeling for Improved Large-eddy Simulation of the Atmospheric Boundary Layer PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (839 download)

DOWNLOAD NOW!


Book Synopsis Subgrid-scale Turbulence Modeling for Improved Large-eddy Simulation of the Atmospheric Boundary Layer by : Rica Mae Enriquez

Download or read book Subgrid-scale Turbulence Modeling for Improved Large-eddy Simulation of the Atmospheric Boundary Layer written by Rica Mae Enriquez and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Large-eddy simulation (LES), as the name suggests, resolves the large eddies in the flow while modeling the effects of smaller motions (turbulence) on those larger eddies. Powerful computers make LES increasingly practical for analyzing a variety of atmospheric behavior in more detail, creating a need for more realistic turbulence models. Advances in describing atmospheric turbulence can impact many disciplines, e.g., weather and climate prediction, wind energy production, ocean dynamics, and, indeed, even computational fluid dynamics itself. Although the turbulence model can significantly affect the accuracy of the LES, simple turbulence models, which are known to be less accurate, are widely used. As an alternative, the Generalized Linear Algebraic Subgrid-Scale (GLASS) model, that actively couples momentum and heat transport, was developed. This model is more complete than conventional LES turbulence models because it accounts for additional transport processes. GLASS includes production, dissipation, pressure redistribution, and buoyancy terms. With the inclusion of an actively coupled turbulent heat flux model, GLASS is applicable to a range of atmospheric stability conditions for the unsaturated atmosphere. LES at various resolutions in a neutrally stratified boundary layer flow indicated that the GLASS model is a more physically complete subgrid-scale turbulence model that provides near-wall anisotropies and yields proper velocity profiles in the logarithmic layer. LES of the moderately convective boundary layer demonstrated that GLASS predicted the evolution of resolved quantities at least as well as the LESs with simple models, while including additional physics. Additional simulations of the stable boundary layer and the transitioning boundary layer highlight that GLASS can be applied to various stability conditions without the need of tuning model coefficients.

Parameterization Schemes

Download Parameterization Schemes PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 0521865409
Total Pages : 408 pages
Book Rating : 4.5/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Parameterization Schemes by : David J. Stensrud

Download or read book Parameterization Schemes written by David J. Stensrud and published by Cambridge University Press. This book was released on 2007-05-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: 1.

Numerical Modeling Studies of Wake Vortex Transport and Evolution Within the Planetary Boundary Layer

Download Numerical Modeling Studies of Wake Vortex Transport and Evolution Within the Planetary Boundary Layer PDF Online Free

Author :
Publisher :
ISBN 13 : 9781729110904
Total Pages : 30 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Numerical Modeling Studies of Wake Vortex Transport and Evolution Within the Planetary Boundary Layer by : National Aeronautics and Space Adm Nasa

Download or read book Numerical Modeling Studies of Wake Vortex Transport and Evolution Within the Planetary Boundary Layer written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-23 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In support of the wake vortex effect of the Terminal Area Productivity program, we have put forward four tasks to be accomplished in our proposal. The first task is validation of two-dimensional wake vortex-turbulence interaction. The second task is investigation of three-dimensional interaction between wake vortices and atmospheric boundary layer (ABL) turbulence. The third task is ABL studies. The, fourth task is addition of a Klemp-Durran condition at the top boundary for TASS model. The accomplishment of these tasks will increase our understanding of the dynamics of wake vortex and improve forecasting systems responsible for air safety and efficiency. The first two tasks include following three parts: (a) Determine significant length scale for vortex decay and transport, especially the length scales associated with the onset of Crow instability (Crow, 1970); (b) Study the effects of atmospheric turbulence on the decay of the wake vortices; and (c) Determine the relationships between decay rate, transport properties and atmospheric parameters based on large eddy simulation (LES) results and the observational data. These parameters may include turbulence kinetic energy, dissipation rate, wind shear and atmospheric stratification. The ABL studies cover LES modeling of turbulence structure within planetary boundary layer under transition and stable stratification conditions. Evidences have shown that the turbulence in the stable boundary layer can be highly intermittent and the length scales of eddies are very small compared to those in convective case. We proposed to develop a nesting grid mesh scheme and a modified Klemp-Durran conditions (Klemp and Wilhelmson, 1978) at the top boundary for TASS model to simulate planetary boundary layer under stable stratification conditions. During the past year, our group has made great efforts to carry out the above mentioned four tasks simultaneously. The work accomplished in the last year will be described in the next sectio...

Turbulence in Fluids

Download Turbulence in Fluids PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400905335
Total Pages : 435 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!


Book Synopsis Turbulence in Fluids by : Marcel Lesieur

Download or read book Turbulence in Fluids written by Marcel Lesieur and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence is a dangerous topic which is often at the origin of serious fights in the scientific meetings devoted to it since it represents extremely different points of view, all of which have in common their complexity, as well as an inability to solve the problem. It is even difficult to agree on what exactly is the problem to be solved. Extremely schematically, two opposing points of view have been advocated during these last ten years: the first one is "statistical", and tries to model the evolution of averaged quantities of the flow. This com has followed the glorious trail of Taylor and Kolmogorov, munity, which believes in the phenomenology of cascades, and strongly disputes the possibility of any coherence or order associated to turbulence. On the other bank of the river stands the "coherence among chaos" community, which considers turbulence from a purely deterministic po int of view, by studying either the behaviour of dynamical systems, or the stability of flows in various situations. To this community are also associated the experimentalists who seek to identify coherent structures in shear flows.

Modeling of Atmospheric Chemistry

Download Modeling of Atmospheric Chemistry PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1108210953
Total Pages : 631 pages
Book Rating : 4.1/5 (82 download)

DOWNLOAD NOW!


Book Synopsis Modeling of Atmospheric Chemistry by : Guy P. Brasseur

Download or read book Modeling of Atmospheric Chemistry written by Guy P. Brasseur and published by Cambridge University Press. This book was released on 2017-06-19 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling of atmospheric composition is a formidable scientific and computational challenge. This comprehensive presentation of the modeling methods used in atmospheric chemistry focuses on both theory and practice, from the fundamental principles behind models, through to their applications in interpreting observations. An encyclopaedic coverage of methods used in atmospheric modeling, including their advantages and disadvantages, makes this a one-stop resource with a large scope. Particular emphasis is given to the mathematical formulation of chemical, radiative, and aerosol processes; advection and turbulent transport; emission and deposition processes; as well as major chapters on model evaluation and inverse modeling. The modeling of atmospheric chemistry is an intrinsically interdisciplinary endeavour, bringing together meteorology, radiative transfer, physical chemistry and biogeochemistry, making the book of value to a broad readership. Introductory chapters and a review of the relevant mathematics make this book instantly accessible to graduate students and researchers in the atmospheric sciences.

The Atmosphere and Climate of Mars

Download The Atmosphere and Climate of Mars PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 110817938X
Total Pages : 613 pages
Book Rating : 4.1/5 (81 download)

DOWNLOAD NOW!


Book Synopsis The Atmosphere and Climate of Mars by : Robert M. Haberle

Download or read book The Atmosphere and Climate of Mars written by Robert M. Haberle and published by Cambridge University Press. This book was released on 2017-06-29 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humanity has long been fascinated by the planet Mars. Was its climate ever conducive to life? What is the atmosphere like today and why did it change so dramatically over time? Eleven spacecraft have successfully flown to Mars since the Viking mission of the 1970s and early 1980s. These orbiters, landers and rovers have generated vast amounts of data that now span a Martian decade (roughly eighteen years). This new volume brings together the many new ideas about the atmosphere and climate system that have emerged, including the complex interplay of the volatile and dust cycles, the atmosphere-surface interactions that connect them over time, and the diversity of the planet's environment and its complex history. Including tutorials and explanations of complicated ideas, students, researchers and non-specialists alike are able to use this resource to gain a thorough and up-to-date understanding of this most Earth-like of planetary neighbours.

Atmospheric Turbulence and Air Pollution Modelling

Download Atmospheric Turbulence and Air Pollution Modelling PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401091129
Total Pages : 375 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!


Book Synopsis Atmospheric Turbulence and Air Pollution Modelling by : F.T. Nieuwstadt

Download or read book Atmospheric Turbulence and Air Pollution Modelling written by F.T. Nieuwstadt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of turbulence in the atmosphere has seen considerable progress in the last decade. To put it briefly: boundary-layer meteorology, the branch of atmospheric science that concentrates on turbulence in the lower atmosphere, has moved from the surface layer into the boundary layer itself. The progress has been made on all fronts: theoretical, numerical and observational. On the other hand, air pollution modeling has not seen such a rapid evolution. It has not benefited as much as it should have from the increasing knowledge in the field of atmospheric turbulence. Air pollution modeling is still in many ways based on observations and theories of the surface layer only. This book aims to bring the reader up to date on recent advances in boundary-layer meteorology and to pave the path for applications in air pollution dispersion problems. The text originates from the material presented during a short course on Atmospheric Turbulence and Air Pollution Modeling held in The Hague during September 1981. This course was sponsored and organized by the Royal Netherlands Meteorological Institute, xi xii PREFACE to which both editors are affiliated. The Netherlands Government Ministry of Health and Environmental Protection and the Council of Europe also gave support.

Turbulence and Dispersion in the Planetary Boundary Layer

Download Turbulence and Dispersion in the Planetary Boundary Layer PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 331943604X
Total Pages : 252 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Turbulence and Dispersion in the Planetary Boundary Layer by : Francesco Tampieri

Download or read book Turbulence and Dispersion in the Planetary Boundary Layer written by Francesco Tampieri and published by Springer. This book was released on 2016-09-28 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive review of our current understanding of the planetary boundary layer, particularly the turbulent exchanges of momentum, heat and passive scalars between the surface of the Earth and the atmosphere. It presents and discusses the observations and the theory of the turbulent boundary layer, both for homogeneous and more realistic heterogeneous surface conditions, as well as the dispersion of tracers. Lastly it addresses the main problems arising due to turbulence in weather, climate and atmospheric composition numerical models. Written for postgraduate and advanced undergraduate-level students and atmospheric researchers, it is also of interest to anyone wanting to understand the findings and obtain an update on problems that have yet to be solved.