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Problems with differential equations

Posted 11 years ago

Hi, I'm trying to solve a little oceanographic problem. I wanna plot the stream lines of a system composed by the Sverdrup equation (equation regulating water motion) and the continuity equation (conservation of mass); and all this in spherical coordinates, so in a shell DR around the Earth (but keeping only the radial and longitudinal coordinates, which in the end is just a slice of the spherical shell). I attach also the code. 2 omega sin (phi) is the Coriolis parameter. w is the radial water velocity and v is the longitudinal one.

Any idea?

thanks a lot in advance for any suggestion! Lorenzo

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POSTED BY: Lorenzo Rossato
2 Replies
Posted 11 years ago

Thanks, yes I also tried a simple version of the problem in cartesian coordinates (in attach) but I get the same error. Basically I'm trying to show to my professor the advantages of using mathematica for simulations but I'm a bit rusty... Boundary conditions are an open question, meaning that I'm just aiming at showing some plots of possible water currents; there are no specific constraints

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POSTED BY: Lorenzo Rossato
POSTED BY: David Reiss
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