CIEG 672: Homework 3, due 9/26/07
1. D $ D, Problems 3.12, 4.9 2. Using asymptotic forms for large kh, describe the deep water form of the solution for a progressive water wave, including the potential, Eulerian velocities, Lagrangian trajectory, and disp

CIEG 672: Homework 3, due 10/3/08
1. Using asymptotic forms for large kh, describe the deep water form of the solution for a progressive water wave, including the potential, Eulerian velocities, Lagrangian trajectory, and dispersion relation. 2. The deep

CIEG 672: Homework 9, due 12/9/09
1. Calculate the reection and transmission coecients for waves propagating over a
periodic row of alternating hig and low steps with equal spacing and heights, as drawn
in class. You may pick how many steps there are, how

CIEG 672: Homework 3, due 10/7/09
1. Using asymptotic forms for large kh, describe the deep water form of the solution
for a progressive water wave, including the potential, Eulerian velocities, Lagrangian
particle trajectory, and dispersion relation.
2.

CIEG 672: Homework 3, due 9/29/10
1. Using asymptotic forms for large kh, describe the deep water form of the solution
for a progressive water wave, including the potential, Eulerian velocities, Lagrangian
particle trajectory, and dispersion relation.
2.

CIEG 672 Homework 5
Due October 13
Problem 1
Capillary waves coexist in the ocean with the larger and longer length wind waves
and swell that we normally think about in engineering applications. The surface current
associated with the orbital motion of th

CIEG 672: Homework 2, due 9/28/11
1. Using asymptotic forms for large kh, describe the deep water form of the solution
for a progressive water wave, including the potential, Eulerian velocities, Lagrangian
particle trajectory, and dispersion relation.
2.

CIEG 672: Homework 4, due 10/14/11
Problem 1 (The Ryan problem)
For the case of a standing wave in one horizontal direction, derive expressions for the energy
density, energy ux, mean surface elevation, mean pressure eld, and mean volume ux.
Examine the r