## From Vorticity to Velocity

As we have already seen earlier on, to obtain the velocity field from the vorticity one we have to solve the following equation:

Since the Green function for the Poisson equation is: we obtain:

which becomes after few steps:

.

So far we have applied the SEM to the vorticity and then calculated the velocity field. In particular, the structure created were isotropic:

What if we applied a modified SEM:

We get then:

.

## Integration of the formula stated

I am defining a matlab script which should integrate the u equation!!

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Topic revision: r4 - 2010-11-15 - 11:32:33 - RuggeroPoletto
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