ocen 671 ocean wave mechanics · • text: water wave mechanics for engineers and scientists, r.g....

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OCEN 671 Ocean Wave Mechanics Dr. James M. Kaihatu CEOB 808D 862-3511; [email protected]

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OCEN 671 Ocean Wave Mechanics

Dr. James M. Kaihatu CEOB 808D

862-3511; [email protected]

Your Host •  Instructor: Dr. James M. Kaihatu

–  CE/TTI 808D –  Ph: 979-862-3511; email:

[email protected] –  Office hours: MW 1400-1600

–  Ph.D. University of Delaware 1994 –  1987-1989: Coastal Engineering

Research Center –  1994-2006: Naval Research

Laboratory (DC & MS) –  2006-present: Zachry Department

of Civil Engineering, Texas A&M University

Bordeaux the Mutt, with her minion

Why Study Ocean Wave Mechanics?

•  Engineers –  Levee Design! –  Offshore platform

design –  Dredging –  Coastal structures and

harbor design –  Beach erosion

mitigation –  Sewage outfall design –  Boating and watercraft

design –  etcetcetc

Levee break at Inner Harbor Navigational Canal, New Orleans, LA

Why Study Ocean Wave Mechanics?

•  Geologists –  River delta formation

and evolution –  Stratigraphy –  Beach erosion and

shoreline change –  Cliff erosion –  Sediment supply –  Tidal inlets –  Etcetcetc…

Mississippi River Delta

Why Study Ocean Wave Mechanics?

•  Planners –  Prediction of

hazardous conditions –  Navigation –  Development control –  Ship routing –  Berthing –  Military concerns –  Etcetcetc.

Forecast of waveheights in the global ocean

OCEN671 •  MWF 9:10-10:00, CVLB115 •  Office hours: 1400-1600 MW; please make advance

arrangements for different time •  Pre-requisite: OCEN362 or equivalent •  Text: Water Wave Mechanics for Engineers and

Scientists, R.G. Dean and R.A. Dalrymple (1984 Prentice-Hall; 1989 World Scientific)

•  Will deviate from text with notes, particularly in mathematical development, but will follow topic order of book

•  Individual subtopics within chapters may be adjusted depending on progress of class or nature of material

•  Mid-term: 30%; final exam: 40%; homework: 30%

OCEN671

•  Notes are available: – http://ceprofs.civil.tamu.edu/jkaihatu – Follow links to .pdf files – Do not worry about section numbers in notes – Please ask if writing is illegible… – The password is……

OCEN671

•  Optional additional reference texts: –  Applied Dynamics of Ocean Surface Waves, C.C. Mei, Wiley-

Interscience 1983; World Scientific 199? –  The Dynamics of the Upper Ocean, O.M. Phillips, Cambridge

University Press 1980. –  Wind Waves, B. Kinsman, Dover 1984. –  Water Waves, J.J. Stoker, Interscience 1957. –  Waves in the Ocean, P. LeBlond and L. Mysak, Elsevier 1978. –  Coastal Engineering Manual, U.S. Army Corps of Engineers,

available online at: http://chl.erdc.usace.army.mil/chl.aspx?p=s&a=ARTICLES;104 (Part 2 – Chapter 1 recommended)

OCEN671

•  Homework given out after completion of each chapter

•  Homework is due at the end of class on due date – 10% penalty each day (not class) it is late

except for University-recognized excuse •  Prior notification must be given, except when this

is not possible (emergencies, etc.) •  Email notification is acceptable

OCEN671

•  Exams: – Mid-term: October 12 (tentative)

•  Take home –due back Oct 14

– Final: December 12 •  8:00-10:00 am

– Time conflicts can be reasonably accommodated with advance notice.

Ocean Waves – An Introduction

•  Ocean waves: subset of waves in fluids •  Waves occur at any interface between

fluids of two densities •  Atmospheric wave above (Iowa)

Ocean Waves – An Introduction

•  What causes waves on the ocean?

Wind Ships

Undersea Earthquakes Um…Miscellanous

Ocean Waves – An Introduction

•  Ocean waves are inherently nonlinear

Waves in the ocean of different frequencies affect each other (interact)

Ocean Waves – An Introduction

•  Ocean waves are inherently random

Waves of many different frequencies and directions exist in the ocean

Ocean Waves – An Introduction

In this course: assume waves are linear •  Waves of different frequencies and

directions do not interact •  Random wave fields are built up from

superposition

At first: assume waves are monochromatic •  Waves defined by a single

frequency and direction •  Useful for studying details

of wave kinematics and dynamics

Ocean Waves – An Introduction

Ocean waves are dispersive – waves travel at speeds dependent on their frequencies

Ocean Waves – An Introduction

Ocean waves have many different scales

Course Content •  Review of Mathematics and Fluid Mechanics

–  Potential Function, Stream Function, Bernoulli Equation –  Kinematic and Dynamic Boundary Conditions

•  Water Wave Problem –  Formulation –  Linearization

•  Kinematics and Dynamics –  Phase speed, group speed, pressure field –  Internal velocities, wave energy

•  Transformation –  Refraction, diffraction, shoaling –  Wave breaking –  Numerical modeling

Course Content •  Long Waves

–  Tides, Seiches, Storm Surge

•  Wavemakers –  Flap –  Paddle –  Directional wavemakers

•  Random Waves –  Wave statistics –  Wave spectra, directional spectra, parameterized spectra

•  Nonlinear Properties of Linear Waves –  Mass flux, momentum flux –  Radiation stress –  Wave setdown, wave setup

•  Introduction to Nonlinear Waves –  Stokes waves –  Cnoidal waves

Recommended Video

•  “Waves Across the Pacific” – Various forms on YouTube – Narrator and lead researcher: Dr. Walter

Munk, Scripps Institute of Oceanography – Covers wind wave generation, dispersion,

swell propagation, wave measurement…