CMS-Wave:Wave Radiation Stresses

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Wave Radiation Stresses

The wave radiation stresses are calculated using linear wave theory as (Longuet-Higgins and Stewart 1961; Dean and Dalrymple 1984)



f = the wave frequency [1/s]
= the wave direction [rad]
= wave energy = [N/m]
= significant wave height [m]
= wave unit vector = [-]

= wave group velocity [m/s]
= wave celerity [m/s]
= wave number [rad/s]

The wave radiation stresses and their gradients are computed within the wave model and interpolated in space and time in the flow model.


  • Dean, R. G., and R. A. Dalrymple. 1984. Water wave mechanics for engineers and scientists. Englewood Cliffs, NJ: Prentice-Hall.
  • Longuet-Higgins, M. S., and R. W. Stewart. 1961. The changes in amplitude of short gravity waves on steady non-uniform currents. Journal of Fluid Mechanics 10(4):529–549.

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