A request of WAMIT result with COG = (0,0,-14.4) about iea-15-240-rwt HOT 6 CLOSED

Hi, have you considered just transforming the existing WAMIT data files that are provided in the repo? If I'm thinking about this correctly, the math to convert the data from the current reference point at z=0 to a reference point with z=-14.4 could be implemented in a script -- probably much more quickly than it would take to recompute all the data files with WAMIT. The entries that would need to be adjusted would be the roll and pitch DOFs, and any cross-coupling (off-diagonal) entries involving those DOFs.

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Hi @hachikoi1

I agree with @mattEhall that it's probably better to transform the existing WAMIT data about z=0 to about z=-14.4 m. Make sure you account for the fact that both the moments and the rotation (roll and pitch) are about a new reference point.

Also, it is necessary to approximate the first-order motion response of the whole system when computing the second-order wave excitation. That's why XCG=0,0,-2.32m in the second-order input file. This XCG is that of the whole system including the tower and the turbine, not just the platform.

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Dear mattEhall and luwang00
Thank you very much for your suggestion. I will try the conversion method you described.

Best regards,

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Dear mattEhall and luwang00
Thank you very much for your advice. If I understand correctly, you mean that the hydrodynamic coefficients at COG (0 0 -14.4) can be evaluated based on those at PRP (0 0 0) using coordinate conversion, similar to the method mentioned in WEC-Sim/WEC-Sim#1051.

Take added mass term as an example. Theoretically, we can get added mass load and velocity at COG based on the added mass load, displacement and velocity at PRP. With the constraint conditions of Add_{COG}(1,1) = Add_{PRP}(1,1), Add_{COG}(2,2) = Add_{PRP}(2,2), Add_{COG}(3,3) = Add_{PRP}(3,3), Add_{COG}(6,6) = Add_{PRP}(6,6) and Add_{COG}(4,4) = Add_{COG}(5,5), we can ontain added mass matrix at COG, by solving the equation system of F_{addCOG} = -Add_{COG}*a_Cog at each time step, totalling 31 quantities. And multiple time steps must be introduced into the system of equations to solve them simultaneously

However, the method may give rise to unstable results for radiation and wave excitation terms, i.e. the results of the conversion vary considerably at each time step.

Or you mean that the conversion of the reference point of hydrodynamic coefficients can be achieved by multiplying the hydrodynamic coefficient matrix by conversion matrix?

Best regards,

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A coordinate conversion is what I had in mind. I'm not quickly grasping what you wrote or what is in the WEC-Sim link. That said, the link looked to be about transforming the quadratic drag matrix. For what it's worth, that would be very difficult because that matrix is for nonlinear terms, so I don't think it would be possible to accurately shift its reference point.

I'm also not sure what you mean by "the method may give rise to unstable results for radiation and wave excitation terms". As far as I know, its a transformation of linear matrices and the results should be exact; there shouldn't be any effect on stability.

This function here is an example of the sort of transformation I was thinking of (for matrices): https://github.com/WISDEM/RAFT/blob/8c0445086969f480e76b9409087cbd56dce19437/raft/helpers.py#L321
https://github.com/WISDEM/RAFT/blob/8c0445086969f480e76b9409087cbd56dce19437/raft/helpers.py#L321

It is simpler for excitation because you just adjust the pitch and roll moments by adding the surge or sway forces multiplied by the z shift in the reference point.

Matt

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Dear mattEhall
Many thanks for your sharing.
Best regards,
Tianyuan

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