Rain Drop in a Puddle

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Uploaded by on Mar 17, 2009

Solution of u_tt+(1/3)u_rrrr-u_rr-(1/5)u_t=0, where u is the wave surface height and r is the radial coordinate. The solution is found analytically in time and using Fourier Series in space. The code was written in Matlab.

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Uploader Comments (barlowns)

  • @gianniacampora

    Sure thing...I don't remember where I hid the code on my computer, but here is a link to spectral solver example I gave my class:

    people.clarkson.edu/~barlowns/­MA331/spectral.m

    It is set with the Fourier coefficients a,b, and c for the convective-diffusion equation. For the "puddle equation" (really just a generic 4th order dispersive wave equation), use

    a=1; b=-1/5; c=1/3*k.^4+k.^2; %puddle

    instead. have fun!

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  • Please, is it possible to obtain the Matlab code? I am very interested in this simulation.

    thank you very much.

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