Stochastic Lagrangian models of turbulent diffusion:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston, Mass.
American Meteorological Soc.
1996
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| Series: | Meteorological monographs
26,48 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 84 S. graph. Darst., Kt. |
| ISBN: | 1878220233 |
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Record in the Search Index
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| adam_text | METEOROLOGICAL MONOGRAPHS VOLUME 26 AUGUST 1996 . NUMBER 48 STOCHASTIC
LAGRANGIAN MODELS OF TURBULENT DIFFUSION HOWARD C. RODEAN ATMOSPHERIC
SCIENCE DIVISION LAWRENCE LIVERMORE NATIONAL LABORATORY LIVERMORE,
CALIFORNIA AMERICAN METEOROLOGICAL SOCIETY 45 BEACON STREET, BOSTON,
MASSACHUSETTS 02108 TABLE OF CONTENTS FOREWORD V PREFACE VII CHAPTER 1.
INTRODUCTION 1 CHAPTER 2. HISTORICAL REVIEW 3 2.1 BROWNIAN MOTION 3 2.2
TURBULENT DIFFUSION 4 CHAPTER 3. APPLICABLE PHYSICS OF TURBULENCE 7 3.1
REINTERPRETATION OF THE LANGEVIN EQUATION FOR TURBULENT DIFFUSION 7 3.2
KOLMOGOROV S SIMILARITY HYPOTHESES 8 3.3 LAGRANGIAN STRUCTURE FUNCTION 8
3.4 LAGRANGIAN AND EULERIAN STATISTICS 9 3.5 A SOLUTION FOR STATIONARY
HOMOGENEOUS TURBULENCE 9 3.6 AN ALTERNATE TO THE INTEGRAL LAGRANGIAN
TIMESCALE 10 CHAPTER 4. DEFINITIONS FOR STOCHASTIC DIFFUSION 13 4.1
RANDOM, STOCHASTIC, AND MARKOV PROCESSES 13 4.2 WHITE NOISE AND THE
WIENER PROCESS 14 4.3 REALIZABLE PROBABILITY DISTRIBUTION FUNCTIONS 18
CHAPTER 5. THE FOKKER-PLANCK EQUATION 19 / 5.1 MATHEMATICAL PROPERTIES
19 - 5.2 DERIVATION 20 5.3 THE FORWARD AND BACKWARD EQUATIONS 23 5.4 THE
KRAMERS-MOYAL EXPANSION 23 CHAPTER 6. STOCHASTIC DIFFERENTIAL EQUATIONS
FOR TURBULENT DIFFUSION 25 6.1 LANGEVIN EQUATION FOR STATIONARY,
INHOMOGENEOUS, GAUSSIAN TURBULENCE . . . . 25 6.2 THE ITO AND
STRATONOVICH INTERPRETATIONS 25 6.3 THE DIFFUSION LIMIT: THE RANDOM
DISPLACEMENT EQUATION 28 6.4 APPLICABILITY OF THE LANGEVIN AND RANDOM
DISPLACEMENT EQUATIONS 30 CHAPTER 7. CRITERIA FOR STOCHASTIC MODELS OF
TURBULENT DIFFUSION 31 7.1 DESCRIPTIONS OF CRITERIA 31 7.2 APPLYING THE
WELL-MIXED CRITERION 31 CHAPTER 8. TURBULENT DIFFUSION IN THREE
DIMENSIONS 35 8.1 MULTIVARIATE GAUSSIAN DISTRIBUTION 35 8.2 APPLICABLE
LANGEVIN AND FOKKER-PLANCK EQUATIONS 36 8.3 SOLUTION FOR THE STOCHASTIC
TERM IN THE LANGEVIN EQUATION 37 8.4 SOLUTIONS FOR THE DETERMINISTIC
TERM IN THE LANGEVIN EQUATION 37 8.5 THE BORGAS SOLUTION AND THOMSON S
SIMPLEST SOLUTION 40 8.6 SOLUTIONS FOR THE RANDOM DISPLACEMENT AND
DIFFUSION EQUATIONS 41 CHAPTER 9. APPLICATIONS OF THOMSON S SIMPLEST
SOLUTION 43 9.1 SIMPLIFICATION FOR THREE DIMENSIONS 43 9.2
SIMPLIFICATION TO TWO DIMENSIONS AND ONE DIMENSION 44 CHAPTER 10.
APPLICATION TO THE CONVECTIVE BOUNDARY LAYER 45 -10.1 APPROXIMATING
NON-GAUSSIAN TURBULENCE 45 10.2 PIONEERING APPLICATIONS 47 10.3 MODEL OF
LUHAR-BRITTER AND SAWFORD-WEIL 47 10.4 FOUR-MOMENT MODEL OF DU, WILSON,
AND YEE 49 10.5 CLOSURE OF LUHAR, HIBBERD, AND HURLEY 49 METEOROLOGICAL
MONOGRAPHS VOL. 26, NO. 48 CHAPTER 11. THE BOUNDARY CONDITION PROBLEM 51
11.1 HISTORICAL REVIEW 51 11.2 STUDY BY WILSON AND FLESCH 52 11.3 THE
RANDOM DISPLACEMENT MODEL 54 11.4 APPENDIX: A REFLECTION ALGORITHM 54
CHAPTER 12. PARAMETERIZATION OF TURBULENCE STATISTICS FOR MODEL INPUTS
59 12.1 BASIC SCALING PARAMETERS 59 12.2 VERTICAL VELOCITY VARIANCE 61
12.3 DISSIPATION OF TURBULENCE KINETIC ENERGY 62 12.4 UNIVERSAL CONSTANT
FOR THE LAGRANGIAN STRUCTURE FUNCTION 63 12.5 SKEWNESS OF THE VERTICAL
VELOCITY 63 12.6 HORIZONTAL VELOCITY VARIANCES 63 12.7 SHEAR STRESS 64
12.8 UNFINISHED BUSINESS 64 CHAPTER 13. BRIEF REVIEW OF FOUR TOPICS 65
13.1 TWO-PARTICLE DISPERSION 65 13.2 INTERMITTENCY AND TURBULENT
DIFFUSION 65 13.3 KOLMOGOROV S REFINED HYPOTHESES 66 13.4 FRACTIONAL
BROWNIAN MOTION 67 CHAPTER 14. IN CONCLUSION 69 ACKNOWLEDGMENTS 69
REFERENCES 71 ANNOTATED BIBLIOGRAPHY 77 AUTHOR INDEX 81 SUBJECT INDEX 83
|
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| isbn | 1878220233 |
| language | English |
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| physical | VII, 84 S. graph. Darst., Kt. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | American Meteorological Soc. |
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| series | Meteorological monographs |
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| spelling | Rodean, Howard C. Verfasser aut Stochastic Lagrangian models of turbulent diffusion Howard C. Rodean Boston, Mass. American Meteorological Soc. 1996 VII, 84 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Meteorological monographs 26,48 TURBULÊNCIA ATMOSFÉRICA larpcal Atmospheric turbulence Turbulent diffusion (Meteorology) Turbulente Diffusion (DE-588)4235060-8 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Turbulente Diffusion (DE-588)4235060-8 s Stochastisches Modell (DE-588)4057633-4 s DE-604 Meteorological monographs 26,48 (DE-604)BV002536864 26,48 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009151636&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rodean, Howard C. Stochastic Lagrangian models of turbulent diffusion Meteorological monographs TURBULÊNCIA ATMOSFÉRICA larpcal Atmospheric turbulence Turbulent diffusion (Meteorology) Turbulente Diffusion (DE-588)4235060-8 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| subject_GND | (DE-588)4235060-8 (DE-588)4057633-4 |
| title | Stochastic Lagrangian models of turbulent diffusion |
| title_auth | Stochastic Lagrangian models of turbulent diffusion |
| title_exact_search | Stochastic Lagrangian models of turbulent diffusion |
| title_full | Stochastic Lagrangian models of turbulent diffusion Howard C. Rodean |
| title_fullStr | Stochastic Lagrangian models of turbulent diffusion Howard C. Rodean |
| title_full_unstemmed | Stochastic Lagrangian models of turbulent diffusion Howard C. Rodean |
| title_short | Stochastic Lagrangian models of turbulent diffusion |
| title_sort | stochastic lagrangian models of turbulent diffusion |
| topic | TURBULÊNCIA ATMOSFÉRICA larpcal Atmospheric turbulence Turbulent diffusion (Meteorology) Turbulente Diffusion (DE-588)4235060-8 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| topic_facet | TURBULÊNCIA ATMOSFÉRICA Atmospheric turbulence Turbulent diffusion (Meteorology) Turbulente Diffusion Stochastisches Modell |
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