OpenFOAM guide/Stoke's theorem

Stokes theorem relates a line integral to a surface integral:

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

See also:

• divergence theorem
• gradient theorem