Tidal Prediction with Harmonic Analysis


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Tides in large bodies of water are created primarily by the gravitational actions of the moon and the sun. Predictions of the tides is important primarily for navigation, and tidal predictions are made around the world and published for general use. Tides can be predicted by harmonic analysis, which is the superposition of many sinusoidal components with amplitudes and frequencies determined by a local analysis of the measured tide. For an online discription of this process, see Tony Phillips' page.

This example shows the tides predicted at Breakwater Harbor in Delaware. The tidal components by name are shown in the table. You may choose the number of tidal components to superimpose (from 1 to 18) and you may choose the number of days to plot (up to 60--more than that is beyond the screen resolution). Also, if you would like to examine just one component, choose Single rather than Sum with the Choice button--the component associated with the number in the "Number of Harmonics?" box will be plotted as scaled by the first tidal component (here, M(2)), which must be the largest. For example, to compare the difference between the principal lunar tide M(2), which is semi-diurnal, with the K(1) tide, which is diurnal, type first '1' in the Number of Components box and hit Calculate. Then type '4' in the Number box to get the fourth component, K(1). If you plot only 5 days or so, it will be easier to see the number of tides per day. Also, if you would like to examine just one component, choose Single rather than Sum with the Choice button--the component associated with the number in the "Number of Harmonics?" box will be plotted as scaled by the first tidal component (here, M(2)), which must be the largest.

You may edit these components (but not add any more than there are here) and change the name of the site. The new tides will be computed.

Comments: Robert A. Dalrymple
Center for Applied Coastal Research
University of Delaware, Newark DE 19716
USA