IGF



Atmosphere and ocean dynamics

prof. dr hab. Szymon P. Malinowski

Rok akademicki: 2020/2021
Semestr: zimowy

OPIS PRZEDMIOTU

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.

Assessment will be based on documented abilities to solve problems (colloquies and written homework) as well as on theory understanding. Percentage of the final score:

- 50% problems solved in the course of written colloquies (the first colloquium in mid-term, the second colloquium at the end of the term, together with the written theoretical exam);

- 10% home exercises and problems;

-40% - theoretical exam (written).

The additional condition: theoretical exam threshold must be passed.

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.

 

Materiały do zajęć

FILTR
Zajęcia / Prowadzący Typ zajęć

Szymon P. Malinowski

25 stycznia 2021 18:00

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

Dokumenty do zajęć:
Theoretical exam - questions - Informacje dla studentów
DAO-exam-questions.pdf
Wykład

Robert Grosz

Ćwiczenia

Szymon P. Malinowski

21 stycznia 2021 15:15

Waves in the atmosphere

Dokumenty do zajęć:
Wykład 11 - Prezentacja
DAO-w11-2020.pdf
Wykład

Robert Grosz

Ćwiczenia

Szymon P. Malinowski

14 stycznia 2021 15:15

Omega equation

Dokumenty do zajęć:
Wykład 10 - Prezentacja
DAO-w10-2020.pdf
Wykład

Szymon P. Malinowski

7 stycznia 2021 00:00

Quasi-geostrophic vorticity theory. Tendency equation.

Dokumenty do zajęć:
Wykład 09
DAO-w09-2019.pdf
Wykład

Robert Grosz

Dokumenty do zajęć:
ex2.png
ex3,4.png
ex5.png
Ćwiczenia

Robert Grosz

Ćwiczenia

Szymon P. Malinowski

10 grudnia 2020 15:15

Circulation and vorticity

Dokumenty do zajęć:
Lecture 08 - Prezentacja
DAO-w08-2020.pdf
Wykład

Szymon P. Malinowski

3 grudnia 2020 15:00

Ekman Layer

Dokumenty do zajęć:
Lecture 07 - Prezentacja
DAO-w07-2020.pdf
Wykład

Szymon P. Malinowski

26 listopada 2020 15:15

Shallow water equations.

Dokumenty do zajęć:
Lecture 06 - Prezentacja
DAO-w06-2020.pdf
Wykład

Robert Grosz

Ćwiczenia

Szymon P. Malinowski

19 listopada 2020 05:15

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

Dokumenty do zajęć:
Lecture 05 - Prezentacja
DAO-w05-2020.pdf
Wykład

Robert Grosz

Ćwiczenia

Robert Grosz

Ćwiczenia

Szymon P. Malinowski

5 listopada 2020 15:35

Dokumenty do zajęć:
Lecture 04 - Prezentacja
DAO-w04-2020.pdf
Wykład

Robert Grosz

Dokumenty do zajęć:
DAO_exercise_3 - Skrypt do ćwiczeń
DAO_ex_03.pdf
s3_ex_1.JPG
h_s3_ex_2.jpg
s3_ex_3,4.JPG
h_s3_ex_2.JPG
h_s3_ex_5,6.JPG
Ćwiczenia

Robert Grosz

Dokumenty do zajęć:
DAO_exercise_2 - Skrypt do ćwiczeń
DAO_ex_02.pdf
Tasks
s2_ex_1.png
s2_ex_2.png
s2_ex_4,5.JPG
h_s2_ex_3.jpg
Ćwiczenia

Robert Grosz

Dokumenty do zajęć:
DAO_exercise_1 - Skrypt do ćwiczeń
DAO_ex_01.pdf
Tasks
s1_ex_1,3.png
s1_ex_5,6.JPG
h_s1_ex_2,4.jpg
Ćwiczenia

Szymon P. Malinowski

22 października 2020 15:15

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.

Dokumenty do zajęć:
Wykład 02-03 - Prezentacja
DAO-w02-3-2020.pdf
Wykład