CMS-Wave:Wave-current Interaction

From CIRPwiki
Jump to navigation Jump to search

Wave-current Interaction

The characteristic velocities cx, cy, and cθ are calculated as

  cx=cgcosθ+U (1)
  cy=cgsinθ+V (2)
  cθ=σsinh2kh(sinθhxcosθhy)+cosθsinθUxcos2θUy+sin2θVxcosθsinθVy (3)

The dispersion relationships between the relative angular frequency σ, the absolute angular frequency ω, the wave number vector k, and the current velocity vector U = U2 +V2 are (Jonsson 1990)

Symbol Description
c Wave celerity
cg Wave group velocity
σ Wave frequency
E Spectral wave density
k Wave number
h Total water depth
U Depth-averaged current velocity in x-direction
V Depth-averaged current velocity in y-direction

Documentation Portal