Difference between revisions of "Integral Equation for the Finite Depth Green Function at Surface"
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where | where | ||
G(x,\xi) is the [[Free-Surface Green Function]] for two-dimensional waves, with singularity at | G(x,\xi) is the [[Free-Surface Green Function]] for two-dimensional waves, with singularity at | ||
− | the water surface. We break the surface into <math>N</math>evenly spaced point | + | the water surface. We break the surface into <math>N</math> evenly spaced point |
<math>x_n = -L = hn</math> where <math>h=2L/N</math> and <math>n=0,1,\dots,N</math> | <math>x_n = -L = hn</math> where <math>h=2L/N</math> and <math>n=0,1,\dots,N</math> | ||
Revision as of 23:08, 9 November 2008
We want to solve
where G(x,\xi) is the Free-Surface Green Function for two-dimensional waves, with singularity at the water surface. We break the surface into [math]\displaystyle{ N }[/math] evenly spaced point [math]\displaystyle{ x_n = -L = hn }[/math] where [math]\displaystyle{ h=2L/N }[/math] and [math]\displaystyle{ n=0,1,\dots,N }[/math]
Matlab Code
A program to calculate the coefficients for the semi-infinite dock problems can be found here matrix_G_surface.m
Additional code
This program requires