Catalog Description:

• EOC 4422: Ocean Wave Mechanics.
  Small amplitude wave theory, finite amplitude waves, wave generation, wave forecasting, wave measurements. Wave force on fixed structures, floating bodies and moored bodies.

Pre-requisites:

• EOC 3123 (Fluid Mechanics I with a grade of C or above).
• EOC 3114 (Vibrations).

Textbook:

• Water Wave Mechanics for Engineers and Scientists, by Dean, R.G. and Dalrymple, R. A., World Scientific Publications.

Other References:

• Lecture Notes (attendance required)
• Marine Hydrodynamics, by J. N. Newman, MIT Press.

Coordinator:

• P. Ananthakrishnan, Department of Ocean Engineering.

Goals/Objectives:

• The objective of the course is to provide the students with a basic and applied knowledge of water wave mechanics as required in the design of ocean structures, marine vehicles and harbours; in the protection of shores; and for the prediction of sea states.

Course Topics:

1. Potential flow, Laplace's equation, boundary value problems.
2. Small amplitude waves, linearized boundary conditions.
3. Periodic, progressive and standing wave solutions.
4. Wave kinematics, dispersion relation, shallow- and deep-water waves.
5. Phase and group velocity, energy propagation, capillary waves.
6. Wave and current interaction, shoaling waves and refraction.
7. Long wave theory, tides in channels, storm surge.
8. Wave radiation, wave-maker theory.
9. Wave forces, Froude-Krylov and Morison-Equation Methods.
10. Response of freely floating and moored bodies to waves.
11. Wind waves, wave statistics and spectra.
12. Finite-amplitude wave theories.
13. Internal waves.

Computer Projects:

• Development of algorithms for the computation of wave forces on arbitrarily-shaped bodies.

Laboratory Projects:

• Wave tank experiments:
  1. measurements of wave;
  2. relation between wave-maker motion and radiation waves - comparisons with linear wave-maker theory.

Grading Policy:

1. Homework problems (weekly assignments) -- 10%.
2. Three mid-term tests -- 30%.
3. Final examination -- 30%.
4. Laboratory experiments and report -- 10%.
5. Term Project and report -- 10%.
6. Class participation and student portfolios -- 10%.

Course Outcomes:

1. An ability to apply the knowledge of mathematics for formulation and analysis of ocean-wave and boundary-value fluids problems.
2. A thorough knowledge of the basic properties of ocean waves in deep and coastal waters, and mechanisms of wave generation.
3. An ability to determine wave forces on fixed and floating structures.
4. A basic knowledge of the relation between atmosphere and sea states, and wave modeling and spectra.
5. An ability to make measurements of surface waves and analyze experimental data.