IGF



Atmosphere and ocean dynamics

Academic year: 2020/2021
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:

basic:

Geoffrey K. Vallis, Atmospheric and Oceanic Fluid Dynamics

J.R. Holton, An Introduction to dynamic meteorology

additional:

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

M. L. Salby, Fundamentals of Atmospheric Sciences

L. Łobocki, Podstawy dynamiki atmosfery

The first meeting this semester will be Oct. 16th, 11:15 .

You will receive invitation to Zoom meeting by e-mail ~15 min before the meeting.

On the first two meetings (Friday Oct. 16th, 11:15 and Thursday Oct:22, 15:15) we will have 2 lectures, later classes/lectures according to the schedule.

 

COURSES MATERIALS
Lectures / Leader Lecture type

Szymon P. Malinowski

Jan. 28, 2021, 3:15 p.m.

Rossby waves. Available potential energy. Lorenz Energy cycle.

Lecture documents:
Lecture 12 - Presentation
DAO-w12-2020.pdf
Lecture

Szymon P. Malinowski

Jan. 25, 2021, 6 p.m.

Theoretical exam - questions are in the attached docyment. Recorded lectures / segments of lectures are available at:

https://drive.google.com/drive/folders/1atxJ5qL1rWY-gtINd-7CrSMzECkq3Wkc?usp=sharing

 

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

Szymon P. Malinowski

Jan. 21, 2021, 3:15 p.m.

Waves in the atmosphere

Lecture documents:
Lecture 11 - Presentation
DAO-w11-2020.pdf
Lecture

Szymon P. Malinowski

Jan. 14, 2021, 3:15 p.m.

Omega equation

Lecture documents:
Lecture 10 - Presentation
DAO-w10-2020.pdf
Lecture

Szymon P. Malinowski

Jan. 7, 2021, midnight

Quasi-geostrophic vorticity theory. Tendency equation.

Lecture documents:
Lecture 09
DAO-w09-2019.pdf
Lecture

Szymon P. Malinowski

Dec. 10, 2020, 3:15 p.m.

Circulation and vorticity

Lecture documents:
Lecture 08 - Presentation
DAO-w08-2020.pdf
Lecture

Szymon P. Malinowski

Dec. 3, 2020, 3 p.m.

Ekman Layer

Lecture documents:
Lecture 07 - Presentation
DAO-w07-2020.pdf
Lecture

Szymon P. Malinowski

Nov. 26, 2020, 3:15 p.m.

Shallow water equations.

Lecture documents:
Lecture 06 - Presentation
DAO-w06-2020.pdf
Lecture

Szymon P. Malinowski

Nov. 19, 2020, 5:15 a.m.

Pressure as a vertical coordinate. Static stability. Gravity waves.

Lecture documents:
Lecture 04 - Presentation
DAO-w05-2020.pdf
Lecture

Szymon P. Malinowski

Nov. 5, 2020, 3:35 p.m.

Lecture documents:
Lecture 04 - Presentation
DAO-w04-2020.pdf
Lecture

Szymon P. Malinowski

Oct. 22, 2020, 3:15 p.m.

Forces acting on an air parcel. Apparent forces. Equation of motion. Eulerian coordinates fixed to the Earth's surface. Scale analysis. Geostrophic approximmation. Rossby number. Hydroststic approximmation. Natural coordinates. Cyclones and anticyclones.

Lecture documents:
Lecture 02-03 - Presentation
DAO-w02-3-2020.pdf
Lecture

Szymon P. Malinowski

The Atmosphere. The Ocean. Eulerian and Lagrangian description of the fluid flow.

Material derivative. Governing equations.

 

Lecture documents:
Lecture01 - Presentation
DAO-w01-2020.pdf
video-lecture01-p2
zoom_0.mp4