Geophysical 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.
- 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
I. Stability Analysis
1. Introduction
2. Rayleigh-Taylor instability: Concept of stratification
3. Rayleigh-Bènard problem: Role of entropy
4. Weakly Nonlinear Theory
5. Highly-Viscous Convection: Prototype of Mantle Convection
6. Effect of Rotation: Rayleigh-Bènard Convection with Rotation
8. General formulation and the thermodynamics
9. Atmospheric thermodynamics and Anelastic approximation
10. Parcel stability analysis
11. Pressure Problem
II. Well-mixed convective boundary layer
12. Dry Case
13. General formulation
14. Cloud-topped boundary layer
15. Organized Convection
16. Thermal
17. Plume
18. Convective Organization
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.
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