Velocity gradient and material derivative
Change shear, spin, and dilatation. The cube shows L = D + W on a continuum element; the red particle traces a pathline, the material derivative of position.
Velocity gradient L
[ 0.00, 0.8, 0.0 ]
[ 0.0, 0.0, 0.0 ]
[ 0.0, 0.0, 0.00 ]
[ 0.0, 0.0, 0.0 ]
[ 0.0, 0.0, 0.00 ]