What are vector identities in CFD?

Our Productive CFD course explains vector identities for manipulating CFD equations

Productive CFD

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

pict\relax \special {t4ht=

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