Computes flow apophyses, vorticity vectors, kinematic vorticity numbers, and instantaneous stretching axes from eigenvalues and eigenvectors of velocity gradient tensor
Usage
flow_apophyses(x)
vorticity_axis(x)
kinematic_vorticity_from_velgrad(x)
instantaneous_stretching(x)
instantaneous_stretching_axes(x)Value
vorticity_axis and instantaneous_stretching_axes return "Vec3" object;
"flow_apophyses" returns "Plane" object; kinematic_vorticity_from_velgrad and
instantaneous_stretching return numeric.
Examples
d <- defgrad_from_generalshear(k = 2.5, gamma = 0.9)
l <- velgrad(d, time = 10)
flow_apophyses(l)
vorticity_axis(l)
#> Vector (Vec3) object (n = 1):
#> x y z
#> 0 0 1
kinematic_vorticity_from_velgrad(l)
#> [1] 0.7007364
instantaneous_stretching_axes(l)
#> Vector (Vec3) object (n = 3):
#> x y z
#> [1,] 0.3785365 0.9255864 0
#> [2,] 0.9255864 -0.3785365 0
#> [3,] 0.0000000 0.0000000 1
instantaneous_stretching(l)
#> [1] 0.11003269 -0.01840362 -0.09162907