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Computing the divergence of a vector

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Default Computing the divergence of a vector
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I'd like to compute the divergence of a vector for use in a source term. Suppose that it takes the form:
\nabla \cdot \vec{j} = \nabla \cdot \left( k \nabla \alpha \right)
where k is some constant and \alpha is a user-defined scalar (so I have access to its gradient via C_UDSI_G).

I know it is possible to get the divergence by specifying each component of \vec{j} as its own user-defined scalar, using C_UDSI_G to get the correct components \partial j_x/\partial x, \partial j_y/\partial y, \partial j_z/\partial z and then summing them.
Surely there must be a better way to do this than specifying three additional user-defined scalars for this purpose alone?
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