Fluid Dynamics of the Atmosphere and Ocean

Calendar

LEC #	TOPICS	KEY DATES
1	Introduction Class Aims  Class Administration (Problem Sets, Exams, Grades, etc.)  Scheduling Issues  Introduction to Fluid Dynamics	Problem set 1 out
2-5	Kinematics of Fluid Flow Eulerian and Lagrangian Representations of Flow  The Material Derivative  Trajectories, Streaklines, and Streamlines  Cauchy-Stokes Theorem  The Velocity Gradient Tensor	Problem set 1 due (Ses 2)  Problem set out (Ses 2)  Quiz 1 out (Ses 2)  Quiz 1 due (Ses 3)  Quiz 2 out (Ses 3)  Quiz 2 due (Ses 4)  Problem set 2 due (Ses 4)  Problem set 3 out (Ses 4)  Quiz 3 out (Ses 5)
6-9	Conservation Equations Reynolds Transport Theorem  Momentum Equations (Navier-Stokes, Boussinesq form of Navier-Stokes, Euler)  Total Energy Equation, Mechanical Energy Equation, Heat Equation  2nd Law of Thermodynamics	Quiz 3 due (Ses 6)  Problem set 3 due (Ses 7)  Problem set 4 out (Ses 7)  Problem set 4 due (Ses 9)
10-13	Vortex Flows, Circulation, and Vorticity Bernoulli Functions  Solid Body Rotation, Point Vortex, Rankine Vortex  Stokes’ Theorem  Potential Flows: Interacting Point Vortices  Kelvin’s Circulation Theorem  Helmholtz Vortex Theorems  Vorticity Equation	Problem set 5 out (Ses 10)  Quiz 4 out (Ses 10)  Quiz 4 due (Ses 11)  Problem set 5 due (Ses 12)  Problem set 6 out (Ses 12)  Quiz 5 out (Ses 12)  Quiz 5 due (Ses 13)
14-15	Impact of The Earth’s Rotation Momentum Equations in a Rotating Frame  Centripetal Acceleration, Coriolis Acceleration  Vorticity Equation in a Rotating Frame  Kelvin’s Circulation Theorem in a Rotating Frame	Quiz 6 out (Ses 14)  Problem set 6 due (Ses 15)  Problem set 7 out (Ses 15)  Quiz 6 due (Ses 15)
16-18	GFD Kinematics Simplified Momentum Equations  Inertial Flow, Geostrophy, Gradient Wind, Cyclostrophic Flow, Isallobaric Flow  Impact of Viscosity  Taylor-Proudman Theorem  Thermal Wind	Quiz 7 out (Ses 16)  Quiz 7 due (Ses 17)  Problem set 7 due (Ses 17)  Problem set 8 out (Ses 17)
19-20	Ekman Layers Brief Boundary Layer Introduction  Mass Transport in Ekman Layer; Ekman Pumping and Suction  Ekman Spiral  Sverdrup Transport	Problem set 8 due (Ses 19)  Problem set 9 out (Ses 20)
21-24	Waves Beta Effect  Wave Kinematics  Barotropic, Fixed Depth Rossby Waves  Shallow Water Equations, Shallow Water Gravity Waves, Inertia-Gravity Waves, Kelvin Waves  Potential Vorticity  Barotropic, Quasi-Geostrophic Rossby Waves  Kelvin-Helmholz Instability	Problem set 9 due (Ses 21)
25		Final exam due