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

Robert Grosz

Dokumenty do zajęć:
DAO_exercise_3 - Skrypt do ćwiczeń
DAO_ex_03.pdf
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
Ćwiczenia

Robert Grosz

Dokumenty do zajęć:
DAO_exercise_1 - Skrypt do ćwiczeń
DAO_ex_01.pdf
Tasks
s1_ex_1,3.png
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

Szymon P. Malinowski

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

Material derivative. Governing equations.

 

Dokumenty do zajęć:
Wyklad01 - Prezentacja
DAO-w01-2020.pdf
video-lecture01-p2
zoom_0.mp4