Phys 693 Ice Ocean Dynamics

Spring 2002 Lecture Schedule

MWF: 1:00-2:00PM: Room 204 Nat. Sciences Building
Physics 693: Winter/Spring 02: W. D. Hibler, III

23 Jan: Gen. Characteristics of Ice ocean system. Vectors, Cartesian and Curvilinear Co-ord. Systems, Orthogonal and Non orthogonal co-ordinate systems.
25 Jan: Newtons Laws; Contact Stress Vector: Euler's Equation of Motion in Cartesian Cordinates; Cauchy's Theorem.
28 Jan: Tensor Notation. Dyadics; Principal Axes of stress tensor; Mohrs Circle construction.
30 Jan: Co-ordinate invariant equation of motion. Vector field theory and Equation of motion in arbitrary orthorgonal curvilinear co-ordinate system. Material Derivative:Eulerian and Lagrangrian frames.
1 Feb. Rotating Co-ordinate Systems: Renormalization of gravity and coriolis forces. Conservation equations for Temperature and Salinity.
4 Feb. Turbulence and Eddy Viscosites in Horizontal Equations of Motion of Ocean
6 Feb. Scale Analysis of Oceanic Momentum Equations. Boussinesq Approximation: Geostrophic Currents, Thermal Wind Equation.
8 Feb. More on Geostrophic currents. Integrated Sverdrup transport if time permits.
11 Feb: Linear Ekman Layer Theory: drag coefficients and stress turning angles on sea ice lower surface
13 Feb: Nonlinear Boundary layers I: Constant Stress Approximation.
15 Feb: Nonlinear Boundary layers II: Variable Turning Angles and Quadratic Drag. Time dependent phenomenon, inertial oscillations.
18 Feb: Wind driven sea ice drift; Basic Equations; comparison with observations
20 Feb. Continuum Mechanics Deformation Analysis: Strain Rate Tensor
22 Feb: Sea Ice Kinematics; Spatially inhomogeneous strain rate analysis; Least Squares strain rate analysis
25 Feb: Field Equations of Continuum Mechanics: General Energy Equation; Generalized Gauss Theorem
27 Feb: Ice Thickness Redistribution Theory: Mechanical redistribution
1 Mar: Energetics of Sea ice Ridging: Mechanical energetic Consistency with Rheology: Estimates of Frictional Energy loss from numerical models.
4 Mar : Sea Ice Rheology: General Principles
6 Mar: Reiner Rivlin Fluid: Plastic Potential Functions.
8 Mar: Some Examples of Plastic Flow Problems: Solutions of Reiner Rivlin Fluid Flow.
11 Mar: Coupled ice conservation equations and plastic build up solutions. Cavitating Fluid Ice interaction approximation.
13 Mar: Mohr Coulom Material: Dilatation; Analytic Solution of Sea Ice Arching Problem
15 Mar: Mechanics of lead formation; Interpretation of plastic failure in terms of lead formation; Characteristics
SPRING BREAK
25 Mar: General Principles of Anisotropic Rheologies; Anisotropic Mixing and
Eddy viscosity coefficients in Ocean Circulation Models. Anisotropic yield surface for sea ice
27 Mar:Kinematic Waves in Sea Ice. Non steady phenomenon. Time scales and stability.
29 Mar: Surface Long and Short-wave radiation balance: General principles in climate system.
1 April: Surface Energy Exchanges, Sensible and Latent Heat Turbulent Exchanges
3 April: Analytic and Slab thermodynamic models of sea ice
5 April: Sea Ice Thermodynamics; Brine Pockets; conservation of Energy in multi level sea ice distribution models.
8 April: Coupling of thickness distribution with sea ice thermodynamics: Solutions with specified kinematics. Idealized Box sea ice models.
10 April: General principles of Thermohaline Circulation: Observational Base
12 April: Thermohaline Circulation: Stommel and idealized Box Models; role of Sea ice.
15 April: Finite Difference Initial Value Methods for Ice/Ocean model studies. Stability
18 April: Stability Analysis for Wave Equation, Diffusion Equation, Different time stepping schemes and their stability.
22 April: EGS meeting: possibly guest lecturer
24 April: EGS meeting: possibly guest lecturer
26 April: All campus day: no classes
29 April: Energy Conserving Finite Difference Methods; Non linear instabilities; ice advection.
1 May: Ice Ocean models: Conservation of momentum and Energy; Ice Ocean equations in curvilinear co-ordinates; essential structure of level ocean models.
3 May: Generalized Sverdrup Flow with Topography: Theory
6 May: Some examples of prognostic and diagnostic solutions of ice ocean models.

Please note that courses are offered in a variety of departments that are appropriate for your research specialty and intererests. Additional course listings for Spring 2002 can be found in the UAF course catalog.

Go back to Atmospheric Sciences Home Page

Please feel welcome to send questions and comments to the atmospheric science group