Mid-latitude atmospheric dynamics: a first course
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Wiley
2007
|
| Edition: | Reprint. |
| Subjects: | |
| Online Access: | Klappentext Inhaltsverzeichnis |
| Physical Description: | XII, 324 S. Ill., graph. Darst., Kt. |
| ISBN: | 0470864648 9780470864647 9780470864654 0470864656 |
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| adam_text | Mid-Latitude Atmospheric
Dynamics:
A First Course provides an introduction to the
physical and mathematical description of mid-latitude atmospheric dynamics and its
application to the diagnosis of
extratropical
cyclones. Requiring a background in
physics and calculus but no prior knowledge of meteorology, this student-friendly
text places the emphasis on conceptual understanding.
Written in a conversational tone, this text is an
ideal companion for a first course in the subject,
delving into greater depth as the book, and the
student, progresses. Real weather examples are
woven through the more mathematically focused
early chapters, while later chapters introduce a
range of case-studies from around the globe to
illustrate theoretical and phenomenological aspects
of the mid-latitude cyclone life cycle.
1
features end of chapter
bibliography and problems
1
takes a conceptual
building block approach
1
includes numerous real
weather examples from
around the globe
Titel: Mid-latitude atmospheric dynamics
Autor: Martin, Jonathan E.
Jahr: 2007
Contents
Preface ix
Acknowledgments xi
1 Introduction and Review of Mathematical Tools l
Objectives 1
1.1 Fluids and the nature of fluid dynamics 2
1.2 Review of useful mathematical tools 2
1.2.1 Elements of vector calculus 3
1.2.2 The Taylor series expansion 9
1.2.3 Centered difference approximations to derivatives 10
1.2.4 Temporal changes of a continuous variable 12
1.3 Estimating with scale analysis 14
1.4 Basic kinematics of fluids 15
1.4.1 Pure vortkity 17
1.4.2 Pure divergence 17
1.4.3 Pure stretching deformation 17
1.4.4 Pure shearing deformation 19
1.5 Mensuration 20
Selected references 21
Problems 21
Solutions 23
2 Fundamental and Apparent Forces 25
Objectives 25
2.1 The fundamental forces 26
2.1.1 The pressure gradient force 26
2.1.2 The gravitational force 27
2.1.3 The frictional force 28
2.2 Apparent forces 32
2.2.1 The centrifugal force 33
2.2.2 The Coriolis force 35
CONTENTS
Selected references 40
Problems 40
Solutions 41
3 Mass, Momentum, and Energy: The Fundamental Quantities
of the Physical World 43
Objectives 43
3.1 Mass in the Atmosphere 43
3.1.1 The hypsometric equation 45
3.2 Conservation of momentum: The equations
of motion 49
3.2.1 The equations of motion in spherical coordinates 53
3.2.2 Conservation of mass 65
3.3 Conservation of energy: The energy equation 67
Selected references 73
Problems 73
Solutions 76
4 Applications of the Equations of Motion 77
Objectives 77
4.1 Pressure as a vertical coordinate 77
4.2 Potential temperature as a vertical coordinate 83
4.3 The thermal wind balance 89
4.4 Natural coordinates and balanced flows 93
4.4.1 Geostrophic flow 97
4.4.2 Inertialflow 98
4.4.3 Cyclostrophic flow 99
4.4.4 Gradient flow 102
4.5 The relationship between trajectories and streamlines 108
Selected references 111
Problems 111
Solutions 114
5 Gradation, Vortidty, and Divergence 115
Objectives 115
5.1 The Circulation theorem and its physical
interpretation 117
5.2 Vorticity and potential vorticity 122
5.3 The relationship between vorticity and divergence 130
5.4 The quasi-geostrophic system of equations 138
Selected references 142
Problems 142
Solutions 144
CONTENTS vu
6 The Diagnosis of Mid-Latitude Synoptic-Scale Vertical Motions 147
Objectives 147
6.1 The nature of the ageostrophic wind: Isolating the acceleration
vector 148
6.1.1 Sutdiffe s expression for net ageostrophic divergence in a column 150
6.1.2 Another perspective on the ageostrophic wind 154
6.2 The Sutcliffe development theorem 157
6.3 The quasi-geostrophic omega equation 160
6.4 The Q-vector 166
6.4.1 The geostrophic paradox and its resolution 167
6.4.2 A natural coordinate version of the Q-vector 171
6.4.3 The along- and across-isentrope components of Q 178
Selected references 181
Problems 181
Solutions 186
7 The Vertical Circulation at Fronts 187
Objectives 187
7.1 The structural and dynamical characteristics of mid-latitude fronts 189
7.2 Frontogenesis and vertical motions 193
7.3 The semi-geostrophic equations 204
7.4 Upper-level frontogenesis 211
7.5 Precipitation processes at fronts 220
Selected references 229
Problems 229
Solutions 234
8 Dynamical Aspects of the Life Cycle of the Mid-Latitude Cyclone 237
Objectives 237
8.1 Introduction: The polar front theory of cyclones 237
8.2 Basic structural and energetic characteristics of the cyclone 242
8.3 The cyclogenesis stage: The QG tendency equation perspective 246
8.4 The cyclogenesis stage: The QG omega equation perspective 250
8.5 The cyclogenetic influence of diabatic processes: Explosive
cyclogenesis 252
8.6 The post-mature stage: Characteristic thermal structure 258
8.7 The post-mature stage: The QG dynamics of the occluded
quadrant 264
8.8 The Decay Stage 265
Selected references 269
Problems 269
Solutions 273
viii CONTENTS
9 Potential Vorticity and Applications to Mid-Latitude Weather Systems 275
Objectives 275
9.1 Potential vorticity and isentropic divergence 276
9.2 Characteristics of a positive PV anomaly 280
9.3 Cyclogenesis from the PV perspective 286
9.4 The influence of diabatic heating on PV 290
9.5 Additional applications ofthePV perspective 295
9.5.1 Piecewise PV inversion and some applications 295
9.5.2 A PV perspective on occlusion 297
9.5.3 A PV perspective on leeside cyclogenesis 302
9.5.4 The effects of PV superposition and attenuation 302
Selected references 307
Problems 307
Solutions 310
Appendix A: Virtual Temperature 311
Bibliography 313
|
| adam_txt |
Mid-Latitude Atmospheric
Dynamics:
A First Course provides an introduction to the
physical and mathematical description of mid-latitude atmospheric dynamics and its
application to the diagnosis of
extratropical
cyclones. Requiring a background in
physics and calculus but no prior knowledge of meteorology, this student-friendly
text places the emphasis on conceptual understanding.
Written in a conversational tone, this text is an
ideal companion for a first course in the subject,
delving into greater depth as the book, and the
student, progresses. Real weather examples are
woven through the more mathematically focused
early chapters, while later chapters introduce a
range of case-studies from around the globe to
illustrate theoretical and phenomenological aspects
of the mid-latitude cyclone life cycle.
1
features end of chapter
bibliography and problems
1
takes a conceptual
building block approach
1
includes numerous real
weather examples from
around the globe
Titel: Mid-latitude atmospheric dynamics
Autor: Martin, Jonathan E.
Jahr: 2007
Contents
Preface ix
Acknowledgments xi
1 Introduction and Review of Mathematical Tools l
Objectives 1
1.1 Fluids and the nature of fluid dynamics 2
1.2 Review of useful mathematical tools 2
1.2.1 Elements of vector calculus 3
1.2.2 The Taylor series expansion 9
1.2.3 Centered difference approximations to derivatives 10
1.2.4 Temporal changes of a continuous variable 12
1.3 Estimating with scale analysis 14
1.4 Basic kinematics of fluids 15
1.4.1 Pure vortkity 17
1.4.2 Pure divergence 17
1.4.3 Pure stretching deformation 17
1.4.4 Pure shearing deformation 19
1.5 Mensuration 20
Selected references 21
Problems 21
Solutions 23
2 Fundamental and Apparent Forces 25
Objectives 25
2.1 The fundamental forces 26
2.1.1 The pressure gradient force 26
2.1.2 The gravitational force 27
2.1.3 The frictional force 28
2.2 Apparent forces 32
2.2.1 The centrifugal force 33
2.2.2 The Coriolis force 35
CONTENTS
Selected references 40
Problems 40
Solutions 41
3 Mass, Momentum, and Energy: The Fundamental Quantities
of the Physical World 43
Objectives 43
3.1 Mass in the Atmosphere 43
3.1.1 The hypsometric equation 45
3.2 Conservation of momentum: The equations
of motion 49
3.2.1 The equations of motion in spherical coordinates 53
3.2.2 Conservation of mass 65
3.3 Conservation of energy: The energy equation 67
Selected references 73
Problems 73
Solutions 76
4 Applications of the Equations of Motion 77
Objectives 77
4.1 Pressure as a vertical coordinate 77
4.2 Potential temperature as a vertical coordinate 83
4.3 The thermal wind balance 89
4.4 Natural coordinates and balanced flows 93
4.4.1 Geostrophic flow 97
4.4.2 Inertialflow 98
4.4.3 Cyclostrophic flow 99
4.4.4 Gradient flow 102
4.5 The relationship between trajectories and streamlines 108
Selected references 111
Problems 111
Solutions 114
5 Gradation, Vortidty, and Divergence 115
Objectives 115
5.1 The Circulation theorem and its physical
interpretation 117
5.2 Vorticity and potential vorticity 122
5.3 The relationship between vorticity and divergence 130
5.4 The quasi-geostrophic system of equations 138
Selected references 142
Problems 142
Solutions 144
CONTENTS vu
6 The Diagnosis of Mid-Latitude Synoptic-Scale Vertical Motions 147
Objectives 147
6.1 The nature of the ageostrophic wind: Isolating the acceleration
vector 148
6.1.1 Sutdiffe's expression for net ageostrophic divergence in a column 150
6.1.2 Another perspective on the ageostrophic wind 154
6.2 The Sutcliffe development theorem 157
6.3 The quasi-geostrophic omega equation 160
6.4 The Q-vector 166
6.4.1 The geostrophic paradox and its resolution 167
6.4.2 A natural coordinate version of the Q-vector 171
6.4.3 The along- and across-isentrope components of Q 178
Selected references 181
Problems 181
Solutions 186
7 The Vertical Circulation at Fronts 187
Objectives 187
7.1 The structural and dynamical characteristics of mid-latitude fronts 189
7.2 Frontogenesis and vertical motions 193
7.3 The semi-geostrophic equations 204
7.4 Upper-level frontogenesis 211
7.5 Precipitation processes at fronts 220
Selected references 229
Problems 229
Solutions 234
8 Dynamical Aspects of the Life Cycle of the Mid-Latitude Cyclone 237
Objectives 237
8.1 Introduction: The polar front theory of cyclones 237
8.2 Basic structural and energetic characteristics of the cyclone 242
8.3 The cyclogenesis stage: The QG tendency equation perspective 246
8.4 The cyclogenesis stage: The QG omega equation perspective 250
8.5 The cyclogenetic influence of diabatic processes: Explosive
cyclogenesis 252
8.6 The post-mature stage: Characteristic thermal structure 258
8.7 The post-mature stage: The QG dynamics of the occluded
quadrant 264
8.8 The Decay Stage 265
Selected references 269
Problems 269
Solutions 273
viii CONTENTS
9 Potential Vorticity and Applications to Mid-Latitude Weather Systems 275
Objectives 275
9.1 Potential vorticity and isentropic divergence 276
9.2 Characteristics of a positive PV anomaly 280
9.3 Cyclogenesis from the PV perspective 286
9.4 The influence of diabatic heating on PV 290
9.5 Additional applications ofthePV perspective 295
9.5.1 Piecewise PV inversion and some applications 295
9.5.2 A PV perspective on occlusion 297
9.5.3 A PV perspective on leeside cyclogenesis 302
9.5.4 The effects of PV superposition and attenuation 302
Selected references 307
Problems 307
Solutions 310
Appendix A: Virtual Temperature 311
Bibliography 313 |
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| id | DE-604.BV035165322 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:52:16Z |
| indexdate | 2024-07-09T21:26:29Z |
| institution | BVB |
| isbn | 0470864648 9780470864647 9780470864654 0470864656 |
| language | English |
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| spelling | Martin, Jonathan E. Verfasser aut Mid-latitude atmospheric dynamics a first course Jonathan E. Martin Reprint. Chichester Wiley 2007 XII, 324 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Dynamic meteorology Middle atmosphere Mittlere Atmosphäre (DE-588)4216706-1 gnd rswk-swf Dynamische Meteorologie (DE-588)4150921-3 gnd rswk-swf Dynamische Meteorologie (DE-588)4150921-3 s Mittlere Atmosphäre (DE-588)4216706-1 s DE-604 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016972360&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016972360&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Martin, Jonathan E. Mid-latitude atmospheric dynamics a first course Dynamic meteorology Middle atmosphere Mittlere Atmosphäre (DE-588)4216706-1 gnd Dynamische Meteorologie (DE-588)4150921-3 gnd |
| subject_GND | (DE-588)4216706-1 (DE-588)4150921-3 |
| title | Mid-latitude atmospheric dynamics a first course |
| title_auth | Mid-latitude atmospheric dynamics a first course |
| title_exact_search | Mid-latitude atmospheric dynamics a first course |
| title_exact_search_txtP | Mid-latitude atmospheric dynamics a first course |
| title_full | Mid-latitude atmospheric dynamics a first course Jonathan E. Martin |
| title_fullStr | Mid-latitude atmospheric dynamics a first course Jonathan E. Martin |
| title_full_unstemmed | Mid-latitude atmospheric dynamics a first course Jonathan E. Martin |
| title_short | Mid-latitude atmospheric dynamics |
| title_sort | mid latitude atmospheric dynamics a first course |
| title_sub | a first course |
| topic | Dynamic meteorology Middle atmosphere Mittlere Atmosphäre (DE-588)4216706-1 gnd Dynamische Meteorologie (DE-588)4150921-3 gnd |
| topic_facet | Dynamic meteorology Middle atmosphere Mittlere Atmosphäre Dynamische Meteorologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016972360&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016972360&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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