Rate and spin of velocity gradient tensor

Rate and spin of velocity gradient tensor

Usage

velgrad_rate(x)

velgrad_spin(x)

Arguments

x

3x3 matrix. Velocity gradient tensor.

Value

3x3 matrix

Examples

R <- defgrad_from_comp(xx = 2, xy = 1, zz = 0.5)
L <- velgrad_from_defgrad(R, time = 10)
velgrad_rate(L)
#>            [,1]       [,2]        [,3]
#> [1,] 0.06931472 0.03465736  0.00000000
#> [2,] 0.03465736 0.00000000  0.00000000
#> [3,] 0.00000000 0.00000000 -0.06931472
velgrad_spin(L)
#>             [,1]       [,2] [,3]
#> [1,]  0.00000000 0.03465736    0
#> [2,] -0.03465736 0.00000000    0
#> [3,]  0.00000000 0.00000000    0