CMS-Wave:Wave Radiation Stresses

From CIRPwiki
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Wave Radiation Stresses

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

  (1)

where:

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.

References

  • 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.

Documentation Portal