Ocean tides, part I: Global ocean tidal equations

References

• Bogdanov , C. T. 1961 . New Charts of the Cotidal Lines of Semidiurnal Tidal Waves (M2 S2) for the Pacific Ocean . Soviet Oceanography , I : 28
   Google Scholar
• Boussinesq , J. 1877 . Théorie de L'écoulement Tourbillant . Mém. Prés. Acad. Sci. , XXIII : 46 Paris
   Google Scholar
• 1977 . British Admiralty Tide Tables Vols. 1, 2, and 3 ,
   Google Scholar
• Busse , F. H. and Whitehead , J. A. 1971 . Instabilities of Convection Rolls in a High Prandtl Number Fluid . Journal of Fluid Mechanics , 47 : 305
   Web of Science ®Google Scholar
• Cartwright , D. E. and Tayler , R. J. 1971 . New Computations of the Tide‐Generating Potential . Geophys. J. Roy. Astr. Soc. , 23 : 45
   Web of Science ®Google Scholar
• Cox , M. D. 1970 . A Mathematical Model of the Indian Ocean . Deep‐Sea Research , 17 : 45
   Google Scholar
• Darwin , G. H. 1883 . Report on the Harmonic Analysis of Tidal Observations , Brit. Assoc. for Adv. Sci. Rep., See also Sci. Pap. 1 Cambridge 1907
   Google Scholar
• Defant , A. 1961 . Physical Oceanography , Vol. II , New York : Pergamon Press .
   Google Scholar
• Dietrich , G. 1963 . General Oceanography , New York : Interscience Publishers, John Wiley & Sons .
   Google Scholar
• Doodson , A. T. 1921 . The Harmonic Development of the Tide‐Generating Potential , 100 London : Proc. Roy. Soc. . Ser. A,
   Google Scholar
• Estes , R. 1975 . A Computer Software System for the Generation of Global Numerical Solutions of Diurnal and Semidiurnal Ocean Tides , Contract NAS5–20045 Business and Technol. Syst. TR‐75–27
   Google Scholar
• Estes , R. 1977 . A Computer Software System for the Generation of Global Ocean Tides Including Crustal Loading Effects , Contract NAS5–20045 Business and Technol. Syst. TR‐77–41
   Google Scholar
• Farrell , W. E. 1972a . Deformation of the Earth by Surface Loads . Rev. Geophys. Space Phys. , 10 : 261
   Web of Science ®Google Scholar
• Farrell , W. E. 1972b . Global Calculations of Tidal Loading . Nature , 238 : 43
   Web of Science ®Google Scholar
• Farrell , W. E. 1973 . Earth Tides, Ocean Tides, and Tidal Loading . Phil. Trans. Roy. Soc, London , 274 : 253 Ser. A,
   Web of Science ®Google Scholar
• Friedrich , H. J. 1970 . Preliminary Results from a Numerical Multilayer Model for the Circulation in the North Atlantic . Deutsche Hydr. Zeit. , 23 : 145
   Google Scholar
• Goad , C. C. and Douglas , B. C. 1977a . Determination of the M2 Ocean Tide Parameters from Satellite Orbit Perturbations . J. Geophys. Res. , 82 : 898
   Web of Science ®Google Scholar
• Goad , C. C. and Douglas , B. C. Lunar Longitude Deceleration and Tidal Parameters Estimated from Satellite Orbital Perturbations . Presented to the Eighth International Symposium on Earth Tides . Bonn, Federal Republic of Germany.
   Google Scholar
• Grace , S. F. 1931 . The Semi‐diurnal Lunar Tidal Motion of the Red Sea . Mon. Not. Roy. Astr. Soc, Geophys. Suppl. , 2 : 316
   Google Scholar
• Hansen , W. 1966 . Die Reproduktion der Bewegungsvorgänge im Meere mit Hilfe Hydrodynamisch‐Numerischer Verfahren , V Mitteilungen des Inst. f. Meereskunde der Univ. Hamburg .
   Google Scholar
• Harris , R. A. 1904 . “ Manual of Tides, Part IVb ” . In Report of the Superintendent , 313 U.S. Coast and Geodetic Survey .
   Google Scholar
• Hendershott , M. C. 1972 . The Effects of Solid‐Earth Deformation on Global Ocean Tides. Geophys . J. Roy. Astr. Soc , 29 : 380
   Web of Science ®Google Scholar
• Hendershott , M. C. 1975 . Global Numerical Tide Solutions with Inclusion of Ocean Self‐Gravitation and of Solid Earth Tidal Loading , Grenoble, , France : XVI General Assembly of IUGG .
   Google Scholar
• Hendershott , M. C. 1977 . Numerical Models of Ocean Tides . The Sea , 6 : 47
   Google Scholar
• Holland , W. R. and Hirschman , A. D. 1972 . A Numerical Calculation of the Circulation in the North Atlantic Ocean . J. Phys. Oceanogr. , 2 : 336
   Google Scholar
• Ladyzhenskaya , O. A. 1969 . The Mathematical Theory of Viscous Incompressible Flow , New York : Science Publishers, Gordon and Breach .
   Google Scholar
• Luther , D. S. and Wunsch , C. 1975 . Tidal Charts of the Central Pacific Ocean . J. Phys. Ocean. , 5 : 227
   Web of Science ®Google Scholar
• Munk , W. H. and Palmen , E. 1951 . Note on the Dynamics of the Antarctic Circumpolar Current . Tellus , 3 : 53
   Google Scholar
• Pekeris , C. L. and Accad , Y. 1969 . Solution of Laplace's Equation for the M2 Tide in the World Oceans . Phil. Trans. Roy. Soc, London , 265 : 413 Ser. A,
   Web of Science ®Google Scholar
• Richardson , L. F. 1922 . Weather Prediction by Numerical Methods , London : Cambridge University Press .
   Google Scholar
• Richtmyer , R. D. 1957 . Difference Methods for Initial‐Value Problems , New York : Interscience Publishers, Inc. .
   Google Scholar
• Schlichting , H. 1968 . Boundary‐Layer Theory , New York : McGraw‐Hill Book Co. .
   Google Scholar
• Schwiderski , E. W. 1972 . Bifurcation of Convection in Internally Heated Fluid Layers . The Phys. of Fluids , 15 : 1882
   Web of Science ®Google Scholar
• Schwiderski , E. W. 1976 . “ Preliminary M2 Tide ” . In Computer Tape, NSWC/DL Dahlgren, Virginia
   Google Scholar
• Schwiderski , E. W. 1978a . Hydrodynamically Defined Ocean Bathymetry , NSWC/DL‐TR 3888
   Google Scholar
• Schwiderski , E. W. 1978b . Global Ocean Tides, Part I: A Detailed Hydrodynamical Interpolation Model , NSWC/DL‐TR 3866
   Google Scholar
• Schwiderski , E. W. 1979a . Review Paper in preparation . On Charting Global Ocean Tides ,
   Google Scholar
• Schwiderski , E. W. 1979b . Ocean Tides, Part II: A Hydrodynamical Interpolation Model . Marine Geodesy , 3
   Web of Science ®Google Scholar
• Schwiderski , E. W. 1979c . Global Ocean Tides, Part II: The Semidiurnal Principal Lunar Tide (M2) , NSWC/DL‐TR (in press).
   Google Scholar
• Shilov , G. E. 1968 . Generalized Functions and Partial Differential Equations , New York : Gordon and Breach .
   Google Scholar
• Smith , S. M. , Menard , H. M. and Sharman , G. 1966 . World‐wide Ocean Depths and Continental Elevations Averaged for Areas Approximating One‐Degree Squares of Latitude and Longitude , LaJolla, California : Scripps Institution of Oceanography . Ref. 65–8,
   Google Scholar
• Thomson , W. and Kelvin , Lord . 1868 . Repon of Committee for the Purpose of Harmonic Analysis of Tidal Observations , Brit. Assoc. Adv. Sci. Rep. London
   Google Scholar
• Whitaker , S. 1968 . Introduction to Fluid Mechanics , Englewood Cliffs, New Jersey : Prentice‐Hall, Inc. .
   Google Scholar
• Zahel , W. 1970 . Die Reproduktion Gezeitenbedingter Bewegungsvorgänge im Weltozean Mittels des Hydrodynamisch‐Numerischen Verfahrens , XVII Mitteilungen des Inst. f. Meereskunde der Univ. Hamburg .
   Google Scholar
• Zahel , W. 1973 . The Diurnal K1 Tide in the World Ocean—A Numerical Investigation . Pure Appl. Geophys. , 109 : 1819
   Web of Science ®Google Scholar
• Zahel , W. 1975 . “ A Global Hydrodynamic‐Numerical 1o Model of the Ocean Tides ” . In The Oscillation System of the M2 Tide and Its Distribution of Energy Dissipation , Grenoble, , France : XVI General Assembly of R7GG .
   Google Scholar