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Originally Posted by BYDE What do you mean with 'isolated singularities'? |
They are not distributed over a panel. They are just points.
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Originally Posted by BYDE I'm not very familiar with the Havelock source as I use only the Rankine source (and I'm not a mathematician). |
A Havelock source is like a Rankine source that automatically satisfies the linearised free-surface boundary condition. There's more about this in the papers you found (with Tuck and Scullen)
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Originally Posted by BYDE However from the computational times reported above I guess there's a linear system being solved, to relate the influence of each source on the others. |
There's no need to do that in ship theory, but it is required in, for example, the Neumann-Kelvin problem.
The slowness of zgreen is mainly due to the fact that the wave elevations are calculated at tens of thousands of points, and no advantage is taken of lateral symmetry.
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Originally Posted by BYDE What kind of viscous effects does it model? |
It can model a variety of effects at the surface, depending on how many z-derivatives are involved in the free-surface boundary condition. zgreen uses a method involving two z-derivatives to simulate viscous wave-damping at the surface. Other codes I have use three z-derivatives (and a thickness) to simulate the effect of, say, a thin layer of ice slush on the surface.
Other enhancements include surface tension and the elasticity of the boundary layer on the free-surface.
Leo.