2.25 Vector identities

Several identities are listed below which can be verified under the assumption that the relevant derivatives exist and are continuous. The identities are expressed for: scalars eqn, eqn; vectors eqn, eqn, eqn; tensor eqn.

Algebraic operations

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Gradient derivatives

pict\relax \special {t4ht=

Divergence derivatives

pict\relax \special {t4ht=

Laplacian derivatives

pict\relax \special {t4ht=

Curl derivatives

pict\relax \special {t4ht=
Notes on CFD: General Principles - 2.25 Vector identities