The problem of predicting tides was so important that it attracted many Physics and Maths heavy weights. You can well imagine how important predicting tides would have been for D-day landing. One related fascinating historical artifact is the special purpose analogue computer designed by Lord Kelvin in the 1860s based on Fourier series, harmonic analysis. Think difference engine in it's cogs and cams glory, but speci…
Have you seen the SF bay model? https://www.youtube.com/watch?v=i70wkxmumAw
Hyperlocal ocean modeling for science, defense, and recreational applications.
Anecdotally works very well in Tidal harbors with multiple rivers.