Mid-Latitude Atmospheric Dynamics
A First Course
1. Edition May 2006
336 Pages, Hardcover
Wiley & Sons Ltd
Short Description
This exciting text provides a mathematically rigorous yet accessible textbook that is primarily aimed at atmospheric science majors. Its accessibility is due to the text's emphasis on conceptual understanding.
The first five chapters constitute a companion text to introductory courses covering the dynamics of the mid-latitude atmosphere. The final four chapters constitute a more advanced course, and provide insights into the diagnostic power of the quasi-geostrophic approximation of the equations outlined in the previous chapters, the meso-scale dynamics of the frontal zone, the alternative PV perspective for cyclone interpretation, and the dynamics of the life cycle of mid-latitude cyclones.
* Written in a clear and accessible style.
* Features real weather examples and global case studies.
* Each chapter sets out clear learning objectives and tests students' knowledge with concluding questions and answers.
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.
* features end of chapter bibliography and problems
* takes a conceptual building block approach
* includes numerous real weather examples from around the globe
Acknowledgments.
1 Introduction and Review of Mathematical Tools.
Objectives.
1.1 Fluids and the nature of fluid dynamics.
1.2 Review of useful mathematical tools.
1.3 Estimating with scale analysis.
1.4 Basic kinematics of fluids.
1.5 Mensuration.
Selected references.
Problems.
Solutions.
2 Fundamental and Apparent Forces.
Objectives.
2.1 The fundamental forces.
2.2 Apparent forces.
Selected references.
Problems.
Solutions.
3 Mass, Momentum, and Energy: The Fundamental Quantities of the Physical World.
Objectives.
3.1 Mass in the Atmosphere.
3.2 Conservation of momentum: The equations of motion.
3.3 Conservation of energy: The energy equation.
Selected references.
Problems.
Solutions.
4 Applications of the Equations of Motion.
Objectives.
4.1 Pressure as a vertical coordinate.
4.2 Potential temperature as a vertical coordinate.
4.3 The thermal wind balance.
4.4 Natural coordinates and balanced flows.
4.5 The relationship between trajectories and streamlines.
Selected references.
Problems.
Solutions.
5 Circulation, Vorticity, and Divergence.
Objectives.
5.1 The Circulation theorem and its physical interpretation.
5.2 Vorticity and potential vorticity.
5.3 The relationship between vorticity and divergence.
5.4 The quasi-geostrophic system of equations.
Selected references.
Problems.
Solutions.
6 The Diagnosis of Mid-Latitude Synoptic-Scale Vertical Motions.
Objectives.
6.1 The nature of the ageostrophic wind: Isolating the acceleration vector.
6.2 The Sutcliffe development theorem.
6.3 The quasi-geostrophic omega equation.
6.4 The Q_-vector.
Selected references.
Problems.
Solutions.
7 The Vertical Circulation at Fronts.
Objectives.
7.1 The structural and dynamical characteristics of mid-latitude fronts.
7.2 Frontogenesis and vertical motions.
7.3 The semi-geostrophic equations.
7.4 Upper-level frontogenesis.
7.5 Precipitation processes at fronts.
Selected references.
Problems.
Solutions.
8 Dynamical Aspects of the Life Cycle of the Mid-Latitude Cyclone.
Objectives.
8.1 Introduction: The polar front theory of cyclones.
8.2 Basic structural and energetic characteristics of the cyclone.
8.3 The cyclogenesis stage: The QG tendency equation perspective.
8.4 The cyclogenesis stage: The QG omega equation perspective.
8.5 The cyclogenetic influence of diabatic processes: Explosive cyclogenesis.
8.6 The post-mature stage: Characteristic thermal structure.
8.7 The post-mature stage: The QG dynamics of the occluded quadrant.
8.8 The Decay Stage.
Selected references.
Problems.
Solutions.
9 Potential Vorticity and Applications to Mid-Latitude Weather Systems.
Objectives.
9.1 Potential vorticity and isentropic divergence.
9.2 Characteristics of a positive PV anomaly.
9.3 Cyclogenesis from the PV perspective.
9.4 The influence of diabatic heating on PV.
9.5 Additional applications of the PV perspective.
Selected references.
Problems.
Solutions.
Appendix A: Virtual Temperature.
Bibliography.
Index.