dispersion: Compute the dispersion relation of waves Find _k_ s.t....

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Compute the dispersion relation of waves Find k s.t. (2.pi.f)^2 = g.k.tanh(k.d)

Description

Compute the dispersion relation of waves Find k s.t. (2.pi.f)^2 = g.k.tanh(k.d)

Usage

dispersion(frequencies, depth, iter_max = 200, tol = 1e-06)

Arguments

frequencies	frequency vector
depth	depth (m)
iter_max	maximum number of iterations in the solver
tol	tolerance for termination.

Value

the wave numbers (same size as frequencies)

Examples

freq <- seq(from = 0, to = 1, length.out = 100)
k1 <- dispersion(freq, depth = 1)
k10 <- dispersion(freq, depth = 10)
kInf <- dispersion(freq, depth = Inf)
plot(freq, k1, type = "l")
lines(freq, k10, col = "red")
lines(freq, kInf, col = "green")

resourcecode documentation built on April 4, 2025, 4:45 a.m.