Geophysical Convection Dynamics
- 1st Edition, Volume 5 - May 8, 2023
- Imprint: Royal Meteorological Society – Elsevier
- Author: Jun-Ichi Yano
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 1 2 1 3 - 6
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 9 8 0 1 - 7
Geophysical Convection Dynamics, Volume Five provides a single source reference that enables researchers to go through the basics of geophysical convection. The book includ… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteGeophysical Convection Dynamics, Volume Five provides a single source reference that enables researchers to go through the basics of geophysical convection. The book includes basics on the dynamics of convection, including linear stability analysis, weakly nonlinear theory, effect of rotation, and double diffusion. In addition, it includes detailed descriptions of fully developed turbulence in well-mixed boundary layers, a hypothesis of vertical homogeneity, effects of moisture, and the formation of clouds. The book focuses on the presentation of the theoretical methodologies for studying convection dynamics with an emphasis on geophysical application that is relevant to fields across the earth and environmental sciences, chemistry and engineering.
Members of the Royal Meteorological Society are eligible for a 35% discount on all Developments in Weather and Climate Science series titles. See the RMetS member dashboard for the discount code.
Members of the Royal Meteorological Society are eligible for a 35% discount on all Developments in Weather and Climate Science series titles. See the RMetS member dashboard for the discount code.
- Guides and prepares early-stage researchers to plunge directly into research
- Provides a synthesis of the existing literature on topics including linear stability analysis, weakly nonlinear theory, effect of rotation, double diffusion, description of fully developed turbulence in well-mixed boundary layers, hypothesis of vertical homogeneity, effects of moisture, formation of clouds at the top, and cloud-top entrainment instability
- Presents geophysical convection to readers as a common problem spanning the atmosphere, oceans, and the Earth's mantle
Researchers and students in the fields of geophysics, atmospheric science, oceanography, astrophysics, physics, Researchers and students in the fields of engineering, hydrology, and chemistry
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Biography
- Jun-Ichi Yano (1959–)
- Part I: Stability analysis
- Chapter 1: Introduction
- Abstract
- 1.1. What is convection?
- 1.2. Examples of geophysical convection
- 1.3. Methodologies for studying convection
- 1.4. Fluid mechanics
- 1.5. Stability
- 1.6. Perturbation problem
- 1.7. Stratification
- 1.8. The basic notion of stability
- 1.9. Development of this book
- 1.10. Bibliography
- References
- Chapter 2: Rayleigh–Taylor instability
- Abstract
- 2.1. Two-fluid layer system: basic state
- 2.2. Perturbation problem
- 2.3. Buoyancy and local analysis
- 2.4. Perturbation solutions
- 2.5. A system with a constant stratification
- 2.6. General case
- 2.7. With a finite depth: two-fluid layer system
- 2.8. Bibliography
- References
- Chapter 3: Rayleigh–Bénard convection
- Abstract
- 3.1. Historical background
- 3.2. Heat equation
- 3.3. Buoyancy and temperature
- 3.4. Basic set of equations and the basic state
- 3.5. Nondimensionalization
- 3.6. Boundary conditions
- 3.7. Perturbation analysis
- 3.8. Experimental results
- 3.9. Theoretical constraints on heat flux
- 3.10. Bibliography
- References
- Chapter 4: Weakly nonlinear theory
- Abstract
- 4.1. Overview
- 4.2. Outline of weakly-nonlinear formulation
- 4.3. Rayleigh–Bénard convection problem
- 4.4. Beyond the weak nonlinearities: perspectives
- 4.5. Bibliographies
- References
- Chapter 5: Effect of rotation: Rayleigh–Bénard convection with rotation
- Abstract
- 5.1. Overview
- 5.2. When rotation becomes important?
- 5.3. Formulation of the problem
- 5.4. Asymptotic limit and expansion
- 5.5. Quasi-geostrophic approximation
- 5.6. Revised analysis
- 5.7. Further discussions
- 5.8. Bibliography
- References
- Chapter 6: Double-diffusion convection
- Abstract
- 6.1. Introduction
- 6.2. Linear stability analysis
- 6.3. Experiments and observations
- 6.4. Staircase theories
- 6.5. Bibliography
- References
- Chapter 7: Mantle convection
- Abstract
- 7.1. Introduction
- 7.2. Basic parameters
- 7.3. Convection in the limit of high viscosity
- 7.4. Depth-dependence of viscosity
- 7.5. Convection with internal heat source
- 7.6. Contribution of phase transition to convection
- 7.7. Fully-nonlinear regime: boundary-layer approach
- 7.8. The way beyond
- 7.9. Bibliography
- Appendix 7.A. Dirac's delta
- References
- Chapter 8: Thermodynamics and dynamics
- Abstract
- 8.1. Introduction
- 8.2. Preliminaries
- 8.3. Entropy
- 8.4. Thermodynamic relations and potentials
- 8.5. Heat capacity
- 8.6. Concept of equilibrium
- 8.7. Additional remarks
- 8.8. Full set of equations
- 8.9. Justification for the Boussinesq approximation (weak sense)?
- 8.10. Generalized system
- 8.11. Mass continuity: hierarchy of approximations
- 8.12. Bibliographies
- References
- Chapter 9: Atmospheric thermodynamics
- Abstract
- 9.1. Introduction
- 9.2. Ideal gas law
- 9.3. Thermodynamic variables of the dry atmosphere
- 9.4. Validity of the Boussinesq approximation (weak sense)
- 9.5. Thermodynamics for the moist atmosphere
- 9.6. Bibliographies
- References
- Chapter 10: Parcel stability analysis
- Abstract
- 10.1. Conditional instability, parcel lifting, convective available potential energy (CAPE)
- 10.2. Interpretation of CAPE: potential energy convertibility (PEC)
- 10.3. Convective energy cycle
- 10.4. Saturation point (SP) analysis
- References
- Chapter 11: Pressure problem
- Abstract
- 11.1. Introduction
- 11.2. Equation for the pressure
- 11.3. Poisson and Laplace equations
- 11.4. A simple solution for the buoyancy pressure
- 11.5. Bibliography
- References
- Part II: Well-mixed convective boundary layer
- Chapter 12: Dry case
- Abstract
- 12.1. Introduction
- 12.2. Basic case
- 12.3. Inversion and entrainment
- 12.4. Ocean mixed layer
- 12.5. Bibliography
- References
- Chapter 13: Well-mixed layer top entrainment
- Abstract
- 13.1. Introduction
- 13.2. Entrainment process
- 13.3. Entrainment as a mixing problem: laboratory experiments
- 13.4. Energy-budget based considerations
- 13.5. Similarity theory based approaches
- 13.6. Entrainment closures in integral forms
- 13.7. Bibliography
- References
- Chapter 14: General formulation of the mixed layer
- Abstract
- 14.1. Introduction
- 14.2. Basic equations
- 14.3. Nondimensionalization
- 14.4. Short introduction to the boundary layer
- 14.5. Bibliography
- References
- Chapter 15: Cloud-topped boundary layer
- Abstract
- 15.1. Introduction
- 15.2. Thermodynamic relations
- 15.3. Cloud-top entrainment instability (CTEI)
- 15.4. Expression for the cloud-base height
- 15.5. Further perspectives: bibliographies
- References
- Part III: Organized convection
- Introduction
- References
- Chapter 16: Thermal
- Abstract
- 16.1. Introduction
- 16.2. Vortex-ring dynamics
- 16.3. Impulse dynamics
- 16.4. Dimensional analysis
- 16.5. Effect of stratification
- 16.6. Momentum equation
- 16.7. “Inertial” vortex rings
- 16.8. Historical remark
- References
- Chapter 17: Plume
- Abstract
- 17.1. Introduction
- 17.2. Entraining plume
- 17.3. Historical context of the plume studies
- 17.4. Alternative mixing theories
- 17.5. Alternative simple formulation for the “plume”
- 17.6. Bibliographical notes
- References
- Chapter 18: Numerical modeling
- Abstract
- 18.1. What is numerical modeling?
- 18.2. Direct numerical simulation (DNS)
- 18.3. Subgrid-scale modeling
- 18.4. Large-eddy simulation (LES)
- 18.5. Mesoscale models
- 18.6. Global model
- 18.7. Generic model?
- Epilogue
- References
- References
- References
- Index
- Edition: 1
- Volume: 5
- Published: May 8, 2023
- Imprint: Royal Meteorological Society – Elsevier
- No. of pages: 302
- Language: English
- Paperback ISBN: 9780323912136
- eBook ISBN: 9780323998017
JY
Jun-Ichi Yano
Dr. Jun-Ichi Yano has more than 30 years of research experience with various geophysical convection problems: those include the dynamics of atmospheric convection and its parameterization, interactions of convection and the large-scale dynamics in the tropical atmosphere, convection inside the giant planets and the Earth's core, and convection of self-gravitating systems in high rotation limit. He has also been extensively working on other problems of geophysical flows: theoretical studies of the vortex dynamics, and their applications to the Jovian atmospheres, oceans, and the tropical atmosphere; chaos theory and its applications to the atmospheric dynamics; wavelet analyses; tropical meteorology, microphysics, and numerical weather a hypothesis of vertical homogeneity, prediction problems.
Affiliations and expertise
Scientist, National Centre for Meteorological Research – Toulouse, FranceRead Geophysical Convection Dynamics on ScienceDirect