Atmosphere and ocean dynamics

Academic year: 2019/2020
Semester: winter

LECTURE DESCRIPTION

1. Fluids: air, water. Constitutive equations. Structure of the atmosphere and the ocean. Similarities and differences.
2. Equations of motion in rotating coordinate frame (momentum, mass conservation, energy).
3. Atmosphere as a thin layer of fluid on a rotating sphere. Hydrostatic approximation. Potential temperature, potential density.
4. Multiscale atmospheric and oceanic flows. Filtration of equations. Geostrophic approximation.
5. Prognostic equations. Natural coordinates. Balanced flows in the atmosphere and in the ocean.
6. Shallow water equations. Incopmpressibility: Boussinesq and anelastic approximations.
7. Importance of the atmospheric boundary layer. Oceanic surface layer. Ekman layer in the atmosphere and in the ocean. Ocean -atmosphere interactions.
8. Circulation and vorticity. Potential vorticity. Cyclonic and anticyclonic circulation.
9. Quasi-geostrophic approximation. Numerical Weather Prediction. Mid-latitude circulations.
10. Waves in the atmosphere and in the ocean: acoustic, gravity, inertio-gravity, Rossby waves.
11. Hydrodynamic instabilities in the atmosphere and in the ocean. Baroclinic instability. Mesoscale circulations.
12. Global circulation. Energetics of global circulation. Heat transport in the ocean and in the atmosphere.

Bibliography:

Geoffrey K. Vallis, Atmospheric and Oceanic Fluid Dynamics

Benoit Cushman-Roisin, Introduction To Geophysical Fluid Dynamics. Physical and Numerical Aspects

J.R. Holton, An Introduction to dynamic meteorology

M. L. Salby, Fundamentals of Atmospheric Sciences

COURSES MATERIALS

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Lectures / Leader

Lecture type

Final exam

Jakub Nowak

Jan. 13, 2020, 9 a.m.

Lecture documents:
List of equations - Script for the classes wzory_egzamin.pdf Password required Please provide a valid password:

Class

Theoretical exam - questions.

Szymon P. Malinowski

Dec. 24, 2019, midnight

Lecture documents:
Theoretical exam - questions. - Information for students DAO-pytaniaegz-exam.pdf

Problems: Session 08

Jakub Nowak

Dec. 20, 2019, 11:15 a.m.

Lecture documents:
Problems: Session 08 - Script for the classes cwJN2019_08pdf Password required Please provide a valid password:

Class

Problems: Session 07

Jakub Nowak

Dec. 13, 2019, 11:15 a.m.

Lecture documents:
Problems: Session 07 - Script for the classes cwJN2019_07.pdf Password required Please provide a valid password:

Class

Problems: Session 06

Jakub Nowak

Nov. 29, 2019, 11:15 a.m.

Lecture documents:
Problems: Session 06 - Script for the classes cwJN2019_06.pdf Password required Please provide a valid password:

Class

Lecture 09

Szymon P. Malinowski

Dec. 12, 2019, 3 p.m.

Quasi geostrophic vorticity equation.
Lecture documents:
Lecture 09 - Presentation DAO-w09-2019.pdf Password required Please provide a valid password:

Lecture

Lecture 08

Szymon P. Malinowski

Dec. 5, 2019, 3 p.m.

Vorticity, circulation, potential vorticity.
Lecture documents:
Lecture 08 - Presentation DAO-w08-2019.pdf Password required Please provide a valid password:

Lecture

Lecture 07

Szymon P. Malinowski

Nov. 28, 2019, 3 p.m.

Ekman layer. Ekman pumping and secondary circulations.
Lecture documents:
Lecture 07 - Presentation DAO-w07-2019.pdf Password required Please provide a valid password:

Lecture

Lecture 06

Szymon P. Malinowski

Nov. 14, 2019, 3:15 p.m.

Shallow water equations
Lecture documents:
Lecture 06 - Presentation DAO-w06-2019.pdf Password required Please provide a valid password:

Lecture

Lecture 05

Szymon P. Malinowski

Nov. 7, 2019, midnight

Pressure coordinates. Thermal wind. Static stability. Gravity waves - intro.
Lecture documents:
Lecture 05 - Presentation DAO-w05-2019.pdf Password required Please provide a valid password:

Lecture

Midterm exam

Jakub Nowak

Nov. 15, 2019, 11:15 a.m.

Lecture documents:
List of equations - Script for the classes wzory.pdf Password required Please provide a valid password:

Class

Problems: Session 05

Jakub Nowak

Nov. 8, 2019, 11:15 a.m.

Lecture documents:
Problems: Session 05 - Script for the classes cwJN2019_05.pdf Password required Please provide a valid password:

Class

Problems: Session 04

Jakub Nowak

Oct. 31, 2019, 3:15 p.m.

Lecture documents:
Problems: Session 04 - Script for the classes cwJN2019_04.pdf Password required Please provide a valid password:

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Problems: Session 03

Jakub Nowak

Oct. 25, 2019, 11:15 a.m.

Lecture documents:
Problems: Session 03 - Script for the classes cwJN2019_03.pdf Password required Please provide a valid password:

Class

Problems: Session 02

Jakub Nowak

Oct. 18, 2019, 11:15 a.m.

Lecture documents:
- Script for the classes cwJN2019_02.pdf Password required Please provide a valid password:

Class

Lecture 04

Szymon P. Malinowski

Oct. 17, 2019, noon

Primitive equations.

Approximations: f-plane, b-plane, Boussinesq, shallow water.

Lecture documents:

Lecture 04 - Presentation

DAO-w04-2019.pdf

Lecture

Lecture 02-03

Szymon P. Malinowski

Oct. 10, 2019, 11:32 a.m.

Forces acting fluid parcels on rotating globe.

Scale analysis.

Geostrophic and prognostic approximation.

Hydroststic approximation.

Natural coordinates.

High and low pressure systems.

Lecture documents:

Lecture 02-03 - Presentation

DAO-w02-3-2019.pdf

Lecture

Lecture 01

Szymon P. Malinowski

Oct. 10, 2019, 11:30 a.m.

Basics
Lecture documents:
Lecture 01 - Presentation DAO-w01-2019.pdf Password required Please provide a valid password:

Lecture

Problems: Session 01

Jakub Nowak

Oct. 4, 2019, 11:15 a.m.

Lecture documents:
- Script for the classes cwJN2019_01.pdf Password required Please provide a valid password:

Class