Current and wind drag loads due to translational relative velocity

Current and wind loads are computed using the standard OCIMF method. For further details see [OCIMF]. This method has been developed for tankers but can be applied on other vessel types, if polar coefficients are provided. According to this method, only drag loads due to surge and sway relative velocity is considered; no drag loads due to yaw angular velocity is modeled.

Note

While the OCIMF method calculates the drag loads on stationary bodies, with an absolute fluid velocity, FRyDoM consider instead the relative fluid velocity past the body.

The generalized flow force, given by the OCIMF formulae, is :

\[\begin{split}\mathcal{F}_{flow} = \frac{1}{2} \rho_{fluid} \begin{bmatrix} C_X(\theta) A_X \\ C_Y(\theta) A_Y \\ 0\\0\\0\\ C_N(\theta) A_N \end{bmatrix} |\mathbf{u}|^2\end{split}\]

where

  • \((C_X, C_Y, C_N)\) are the polar flow coefficients, respectively in surge sway and yaw, relatively to \(\theta\) (no dimension),
  • \(\rho_{fluid}\) is the fluid density (air or water),
  • \(\mathbf{u}\) is the relative velocity of the fluid, past the body. See the Fig:A and Fig:B.
  • \(\theta\) is the angle between the body heading and fluid flow velocity.
  • \(A_X, A_Y, A_N\) are the projected area of the body: above the waterline for the wind, below the waterline for the current.

Note

The surge and sway forces are calculated in the body reference frame and projected on the horizontal plane of the world reference frame afterwards, so that we do not get any vertical components. The yaw moment is also projected, so that the moment acts about the vertical direction only.

Relative wind velocity

Fig. 11 Relative wind velocity, past the body

Relative current velocity

Fig. 12 Relative current velocity, past the body

References

[OCIMF]Oil Companies International Marine Forum, 1994. Prediction of Wind and Current Loads on VLCCs, 2nd edition, Witherby & Co., London.