[aspect-devel] How to grab the radius of every interior sphere made up from cell faces in the domain and some MPI questions
Wolfgang Bangerth
bangerth at tamu.edu
Sun Oct 25 09:53:25 PDT 2015
On 10/25/2015 11:49 AM, Ian Rose wrote:
>
> r_{lmi} =
> \int \int \int drho(r,phi,theta) Y_{lm} R_i(r) dtheta dphi dr
>
> where R_i(r) are the basis functions in radial direction.
>
> Ah, but this is the beauty of the multipole expansion. As long as all the
> mass sources are completely external or completely internal to our
> circumscribing sphere, then the radial functions are entirely determined, and
> are just powers of r (where the power is related to the order of the multipole
> and whether it is external or internal).
Exactly, i.e.,
R_i(r) = r^i
if I see it correctly, for some set of exponents i. Or do I misunderstand and
you want to imply that it should be
R_l = r^{-l}
or similar, and that we don't need another index 'i' at all?
Best
W.
--
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Wolfgang Bangerth email: bangerth at math.tamu.edu
www: http://www.math.tamu.edu/~bangerth/
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