OpenFOAM guide/Gauss' theorem

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The divergence theorem relates surface and volume integrals for vectors:

( \iint\limits_S ) \mathbf{A} \bullet \mathbf{dS}
\equiv
( \iiint\limits_V )
\left (
	\boldsymbol \nabla \bullet \mathbf{A}
\right ) dV
Due to notational limits with LaTeX, the brackets enclosing integrals are actually those integrals with a closed circle superposed on them

See also: