Difference between revisions of "Template:Frequency domain equations for the radiation modes"

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(Created page with 'The body boundary condition for a radiation mode is just <center><math> \partial_{n}\phi=n_m,\ \ \mathbf{x}\in\partial\Omega_{\mathrm{B}}, </math></center>')
 
 
(5 intermediate revisions by the same user not shown)
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The body boundary condition for a radiation mode is just
+
The body boundary condition for a radiation mode <math>m</math> is just
 
<center><math>
 
<center><math>
\partial_{n}\phi=n_m,\ \ \mathbf{x}\in\partial\Omega_{\mathrm{B}},
+
\partial_{n}\phi=\mathbf{n}_\nu,\ \ \mathbf{x}\in\partial\Omega_{\mathrm{B}},
 
</math></center>
 
</math></center>
 +
where <math>\mathbf{n}_{\nu}</math> is the normal derivative of the <math>\nu</math> mode on the
 +
body surface directed out of the fluid.

Latest revision as of 12:46, 26 April 2011

The body boundary condition for a radiation mode [math]\displaystyle{ m }[/math] is just

[math]\displaystyle{ \partial_{n}\phi=\mathbf{n}_\nu,\ \ \mathbf{x}\in\partial\Omega_{\mathrm{B}}, }[/math]

where [math]\displaystyle{ \mathbf{n}_{\nu} }[/math] is the normal derivative of the [math]\displaystyle{ \nu }[/math] mode on the body surface directed out of the fluid.