wavelength

solves the dispersion relation for ocean surface waves by using the Newton-Raphson method

Solves the dispersion relation for ocean surface waves

USAGE:
[L,e,c] = wavelength(T,d,U,delta,alpha,tol)

DESCRIPTION:
Simple program that solves the
dispersion relation for ocean
surface waves using the
Newton-Raphson method
It can also account for wave-current
interaction by solving a modified form
of the dispersion relation proposed be
Jonsson (1970)

INPUT VARIABLES:
T = Wave Period, (seconds)
d = Water Depth, (m)
U = Current Velocity, (m/s)
delta = direction of current (rad) with
respect to the cross-shore direction
alpha = direction of waves (rad) with
respect to the cross-shore direction
tol = Maximum tolerance allowed for L
the default is 1e-6 (Generally 3 iterations)

OUTPUT VARIABLES:
L = Wave length, (m)
e = Relative error of L
c = Iteratios

NOTES:
For deep water - L = g*T^2/2/pi
For shallow water - L = T*sqrt(gd)

REFERENCES
Eckart, C. (1952) The Propagation of Gravity
Waves From Deep to Shallow Water, Natl. Bur. Standards,
Circular 521, Washington, DC, pp 165-173.

Jonsson, I.G., Skougaard, C., and Wang, J.D. (1970)
Interaction between waves and currents, Preceedings
of the 12th Coastal Engineering Conference,
ASCE, 489-507

nargin==0 runs a demo