Geophysical Fluid Dynamics (191090)

Department of Earth and Environmental Sciences

Course | : | Master's Course |

Subject Type | : | Type 1 Subject |

Instructor | : | Professor KANZAWA, Hiroshi |

Credits | : | 2 |

Class schedule | : | Thu. 2nd |

Classroom | : | Lecture Room 301/Common Building, Graduate School of Environmental Studies |

Objective

The stratified fluid on the rotating sphere is called geophysical fluid. Geophysical fluid generalizes the fluids of the atmosphere and the ocean of large-scale that feel the rotation of the Earth and are statically stable. Geophysical fluid dynamics is thus fluid dynamics that deals with the nature common to the atmosphere and the ocean of large-scale. This lecture mainly treats fluid dynamics of the atmosphere, i.e. dynamic meteorology.

Contents

1. Atmospheric thermodynamics

equation of state (ideal gas law), hydrostatic balance, thermodynamic equation (energy conservation), stable stratification, buoyancy frequency, available potential energy

2. Continuity equation (mass conservation)

3. Momentum equation (momentum conservation) with respect to rotating frame of reference

true force (pressure gradient force, gravitational force, viscosity force), apparent force (Coriolis force, centrifugal force), geostrophic approximation, hydrostatic approximation, gradient wind

4. Pressure coordinates

geopotential, momentum equation, continuity equation, thermodynamic equation

5. Summary of equation system

height coordinates versus pressure coordinates, prognostic equation versus diagnostic equation

6. Quasi-geostrophic equation

vorticity and potential vorticity, Rossby waves, baroclinic instability (dynamics of development of mid-latitude cyclones)

equation of state (ideal gas law), hydrostatic balance, thermodynamic equation (energy conservation), stable stratification, buoyancy frequency, available potential energy

2. Continuity equation (mass conservation)

3. Momentum equation (momentum conservation) with respect to rotating frame of reference

true force (pressure gradient force, gravitational force, viscosity force), apparent force (Coriolis force, centrifugal force), geostrophic approximation, hydrostatic approximation, gradient wind

4. Pressure coordinates

geopotential, momentum equation, continuity equation, thermodynamic equation

5. Summary of equation system

height coordinates versus pressure coordinates, prognostic equation versus diagnostic equation

6. Quasi-geostrophic equation

vorticity and potential vorticity, Rossby waves, baroclinic instability (dynamics of development of mid-latitude cyclones)

Grading Criteria

Attendance and Home Work evaluation: 50 %

Final Report evaluation: 50 %

Final Report evaluation: 50 %

Course Textbook

None

Recommended Reference Books, Other Study Material, and notes

An Introduction to Dynamic Meteorology, Fifth Edition

James R. Holton and Gregory J. Hakim, Academic Press, An Imprint of Elsevier Inc., 532pp., 2013

James R. Holton and Gregory J. Hakim, Academic Press, An Imprint of Elsevier Inc., 532pp., 2013

Language in class

▪ Presentation & Materials : Partially in English

▪ Oral explanations : Japanese only

▪ Questions in English : Available

▪ Oral explanations : Japanese only

▪ Questions in English : Available

e-mail address / Tel No / Room of Instructor(s)

kanzawa@nagoya-u.jp

Tel: 3482

Tel: 3482