Ocean tides around New Zealand

Abstract The distribution of amplitude and phase for eight ocean tidal constituents (M2, S2, N2, K2, K1, O1, P1, Q1) is presented as tidal maps for the New Zealand area. The distribution was calculated using a barotropic tidal model driven by TOPEX/ Poseidon data on the outer ocean boundaries. The maps exhibit the known features of the tides in this area such as a complete rotation of the semi‐diurnal tides around New Zealand and the reduced spring‐neap variations on the east coast. They also point out several new features for which there are few or no observations, such as diurnal trapped waves and shelf waves. A comparison of the model results with observations shows that sea level errors are within 0.1 m in amplitude and 10° in phase for the largest constituents at all locations, including sites where the data are of low quality and where the geometry is not adequately resolved. For locations where the geometry is adequately represented and the observations are of high quality, sea level errors are within 0.02 m in amplitude and 7° in phase. These results represent the most accurate and highest resolution calculations of tides and currents yet attained for this area.

[1]  R. Walters A three-dimensional, finite element model for coastal and estuarine circulation , 1992 .

[2]  R. Ray Ocean self‐attraction and loading in numerical tidal models , 1998 .

[3]  S. Stehman,et al.  Accuracy Assessment , 2003 .

[4]  R. A. Heath Phase distribution of tidal constituents around New Zealand , 1977 .

[5]  R. A. Heath A review of the physical oceanography of the seas around New Zealand ― 1982 , 1985 .

[6]  Walter H. F. Smith,et al.  Global Sea Floor Topography from Satellite Altimetry and Ship Depth Soundings , 1997 .

[7]  D. Pugh Tides, Surges and Mean Sea-Level , 1987 .

[8]  R. Walters A model for tides and currents in the English Channel and southern North Sea , 1987 .

[9]  J. Robert Benada Physical Oceanography Distributed Active Archive Center , 1997 .

[10]  Paul Schureman,et al.  Tides : a manual of the harmonic analysis and prediction of tides , 1924 .

[11]  Derek G. Goring,et al.  Observed and modelled tidal currents in the New Zealand region , 2001 .

[12]  M. E. Parke,et al.  Accuracy assessment of recent ocean tide models , 1997 .

[13]  A. Bennett,et al.  TOPEX/POSEIDON tides estimated using a global inverse model , 1994 .

[14]  Paul Schureman,et al.  Manual of harmonic analysis and prediction of tides / by Paul Schureman. , 2019 .

[15]  Roy A. Walters,et al.  Geometrically based, automatic generator for irregular triangular networks , 1993 .

[16]  C. Provost,et al.  Spectroscopy of the world ocean tides from a finite element hydrodynamic model , 1994 .

[17]  M. Foreman MANUAL FOR TIDAL HEIGHTS ANALYSIS AND PREDICTION , 2000 .