No one ever answered my question, what formula do they use to predict tides in the fe model?

We use the following formula for predicting tides in the FE model:

h = H

_{o} + Sum{ƒH cos[at + (V

_{o}+u) - K]}

It provides for the summation of 10 of the principal constituents, and the resulting predicted heights can be registered by a curve with some manual tracing.

h = height of tide at any time t.

H

_{o} = mean height of water level above datum used for prediction.

H = mean amplitude of any constituent A.

ƒ = factor for reducing mean amplitude H to year of prediction.

a = speed of constituent A.

t = time reckoned from some initial epoch such as beginning of year of predictions.

(V

_{o}+u) = value of equilibrium argument of constituent A when t = 0.

K = epoch of constituent A.

Each of the principle constituents are defined in the

Tide and Current Glossary put out by the NOAA.