Intercomparison of near-bottom kinematics by several wave theories and field and laboratory data

Abstract This paper summarizes a study to identify the most suitable theories (models) for representing the near-bottom kinematics due to waves and/or currents. The basis for the evaluation of the various models included comparison of models with field and laboratory data and intercomparison of various models. Wave theories evaluated included two versions of the linear wave theory, the Stokes II, III and V order theory, the Cnoidal theory, the Extended Velocity Potential theory and the Stream Function theory.

[1]  Robert G. Dean,et al.  Water wave mechanics for engineers and scientists , 1983 .

[2]  Robert A. Dalrymple,et al.  A finite amplitude wave on a linear shear current , 1974 .

[3]  Hajime Ishida,et al.  Correlation of Water Particle Velocity with Water Level Variation for Irregular Waves , 1973 .

[4]  F. Masch,et al.  Cnoidal waves, tables of functions , 1961 .

[5]  Storm Wave Kinematics , 1978 .

[6]  R. Dean.  Stream function representation of nonlinear ocean waves , 1965 .

[7]  Robert G. Dean,et al.  Second-Order Directional Seas and Associated Wave Forces , 1979 .

[8]  E. Laitone.  Higher approximation to nonlinear water waves and the limiting heights of cnoidal, solitary and stokes' waves , 1963 .

[9]  V. Cardone,et al.  The directional Spectra and Kinematics of Surface Gravity Waves in Tropical Storm Delia , 1978 .

[10]  K. Lambrakos.  Extended Velocity Potential Wave Kinematics , 1981 .

[11]  K. Lambrakos.  The extended velocity potential versus stokes wave representation , 1981 .

[12]  Robert G. Dean,et al.  Relative Validities of Water Wave Theories , 1970 .

[13]  W. Munk.  THE SOLITARY WAVE THEORY AND ITS APPLICATION TO SURF PROBLEMS , 1949 .

[14]  J. D. Wheeler,et al.  METHOD FOR CALCULATING FORCES PRODUCED BY IRREGULAR WAVES , 1970 .

[15]  F. Vis.  ORBITAL VELOCITIES IN IRREGULAR WAVES , 1980 .

[16]  J. D. Wheeler,et al.  Methods for Calculating Forces Produced by Irregular Waves , 1969 .

[17]  R. G. Tickell,et al.  Measurements of particle velocities in laboratory-scale random waves , 1982 .