Wave kinematics - Morrison equation
Wave kinematics - Morrison equation
(OP)
In order to apply Morrison's equation for calculation of wave load on an offshore jacket, I would like to calculate wave kinematics i.e. water particle velocities, surface elevation and acceleration using the fifth (5th) order Stokes wave theory as API RP2A recommends.
I've managed to find the solution (calculate wave length L) and the equations for velocities and surface elevation and the coefficients involved (Aij, Bij), but cannot find acceleration equations (Du/Dt=ax, Dw/Dt=az).
1. Could you help on finding these equations?
2. It would be very helpful also if you provide a site or a paper with a simplified example in order to evaluate my calculations.
Thank you in advance
I've managed to find the solution (calculate wave length L) and the equations for velocities and surface elevation and the coefficients involved (Aij, Bij), but cannot find acceleration equations (Du/Dt=ax, Dw/Dt=az).
1. Could you help on finding these equations?
2. It would be very helpful also if you provide a site or a paper with a simplified example in order to evaluate my calculations.
Thank you in advance





RE: Wave kinematics - Morrison equation
http://www.vulcanhammer.net/marine/
These papers may help with the equation:
http://www.oe.fau.edu/~ananth/TermWave2006.pdf
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RE: Wave kinematics - Morrison equation
Basically, to get your wave particle accelerations and velocities you need to go back to first principles. The legwork will probably have been done in textbooks and give formulae for vertical and horizontal components. These will be dependent on the properties of your design wave, and the wave phase.
RE: Wave kinematics - Morrison equation
Does anbody have a link I could access with details of the CD and CM coefficients used in Morrisons Equation. I am looking to assess some offshore structure loads.
Thanks
Any help would be most appreciated