Prediction and analysis of tides and tidal currents

TL;DR

This paper introduces an efficient algorithm for tidal harmonic analysis and prediction that reduces computation time and handles data inadequacies by using linear equations and the Goertzel iteration.

Contribution

The paper presents a novel algorithm that improves tidal prediction accuracy and efficiency by incorporating approximate relationships and a stable solution method.

Findings

Reduced computation time with Goertzel iteration

Effective handling of inadequate data scenarios

Improved stability in solving harmonic analysis equations

Abstract

An efficient algorithm of tidal harmonic analysis and prediction is presented in this paper. Some conditions are found by means of the known approximate relationships between the harmonic constants of the tidal constituents. A system of linear equations for least squares solutions under these restricted conditions is obtained. In the case of inadequate data, ill conditioning in the system of equations that has appeared in other algorithms is conveniently avoided. In solving the resultant normal equations, the Goertzel iteration is adopted so that the whole computation time is dramatically reduced.