CEE 811: Theory of Water Waves

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CEE 811 - Theory of Water Waves

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CEE 811: Theory of Water Waves, Fall 2002 (Wu), formerly Course Homepage of Wu

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Catalog Description

811 Theory of Water Waves. Irr; 3cr. Formulation of the free surface wave problem; small-amplitude wave theory; finite-amplitude wave theory; shallow-water waves; effect of structures on waves; density-stratified flow. P:Civ Engr 611 or cons inst. Hoopes.

Course Prerequisite(s)

See catalog description above.

Prerequisite knowledge and/or skills

Fluid mechanics
Basic calculus
Differential equations

Textbook(s) and/or other required material

Dean, R.G. and Dalrymple, R.A. (1991), Water Wave Mechanics for Engineers and Scientists,World Scientific.
Mei, C.C. (1983) The Applied Dynamics of Ocean Surface Waves, Wiley-Interscience.

Course objectives

The objectives of this course are to introduce students to the fundamental understanding of water wave theory and to apply the basic physical principles to the coastal and ocean environments

Topics covered

Review of hydrodynamics: Eulerian and Lagrangian view, Navier-Stokes Equation
Small amplitude water wave theory and formulation
Solution of linearized water wave boundary value problem, standing and progrerssive waves; waves with uniform current
Water wave properties: kinematics, pressure, wave energy, and group velocity
Transient Waves: Cauchy-Poisson wave problem (method of stationary phase), slowly modulated wave trains (multiple-scales analysis)
Refracion by slowly varying depth and current, diffraction (WKB method)
Long waves theory: reflection and transmission, seiching and harbor oscillations
Nonlinear shallow water wave theory: Boussinesq equation, Korteweq-de Vries (KdV) equation
Nonlinear dispersive waves in deep water: evolution of wave trains side-band instability, nonlinear Schrodinger equation

Class/laboratory schedule

Three fifty-minute lectures per week

Contribution of course to meeting the professional component

This course contributes primarily to the students' knowledge of college-level mathematics and/or basic sciences, but does not provide experimental experience.

The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.

This course emphasizes a fundamental understanding of water waves theory, especially connection between physics and mathematics.

Relationship of course to undergraduate degree program objectives and outcomes

This course serves students in a variety of engineering majors. The information below describes how the course contributes to the college's educational objectives.

CEE Objective 1: provide a comprehensive education in the fundamentals of civil and environmental engineering. College of Engineering objective: provide a comprehensive education in engineering fundamentals. The course provides students from various engineering disciplines Outcome 7: CEE students should have the ability to knowledge of mathematics and natural sciences to civil and environmental engineering

Assessment of student progress toward course objectives

Evaluation of accuracy of homework solutions, midterm and final exams

Person(s) who prepared this description

Chin H. Wu

Copyright 2007 The Board of Regents of the University of Wisconsin System
Date last modified: 03-Aug-2007
Content by: cee@engr.wisc.edu
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