Difference between revisions of "Kochin Function"
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The Kochin function | The Kochin function | ||
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\mathbf{H}(\tau)=\iint_{\Gamma_s}\left( -\frac{\delta\phi}{\delta n} | \mathbf{H}(\tau)=\iint_{\Gamma_s}\left( -\frac{\delta\phi}{\delta n} | ||
+ \phi\frac{\delta}{\delta n}\right) e^{kz}e^{ik(x\cos\tau | + \phi\frac{\delta}{\delta n}\right) e^{kz}e^{ik(x\cos\tau | ||
| − | +y\sin\tau)} | + | +y\sin\tau)}\mathrm{d}S, |
</math></center> | </math></center> | ||
where <math>\delta/\delta n</math> is the inward normal derivative, | where <math>\delta/\delta n</math> is the inward normal derivative, | ||
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the [[Radiated Energy in Three-Dimensions]], and the [[Wave Forces in Three-Dimensions]] | the [[Radiated Energy in Three-Dimensions]], and the [[Wave Forces in Three-Dimensions]] | ||
can be calculated from the Kochin Function. | can be calculated from the Kochin Function. | ||
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| + | [[Category:Linear Water-Wave Theory]] | ||
Latest revision as of 19:25, 8 February 2010
The Kochin function [math]\displaystyle{ \mathbf{H}(\tau) }[/math] is given by
where [math]\displaystyle{ \delta/\delta n }[/math] is the inward normal derivative, [math]\displaystyle{ \phi }[/math] is the velocity potential and [math]\displaystyle{ \Gamma_s }[/math] is the wetted body surface.
Many physical parameters, such as the Scattered Wave in Three-Dimensions, the Radiated Energy in Three-Dimensions, and the Wave Forces in Three-Dimensions can be calculated from the Kochin Function.
