1-D spherical finite volume discretisation
I'm trying to discretise the conservative equations using FVM for a 1-D spherical geometry (i.e. spherical symmetry).
After applying the Gaus's theorem I get the following for spatial discretisation of the diffusive terms
I know that for 1-D Cartesian the face area vector is simply where i is the unit vector in the x-direction.
However, what will be the face area vector for a spherical geometry? Surely it can't just be the unit vector.
I know that the area element in spherical coordinates is given by
symbol. So in 1-D can I assume it to be just r^2?
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