def vortexCylinder(): #VERTICAL STACK OF 2D FIELDS....3D FIELD
"""
"""
from vortexCore import vortexCore2
from lambda2 import lambda2_3d
gamma = 1 #strength of the vortex.
Rcore = 18 #radious of the vortex core.
s = 20 #size parameter of the field x*y points.
h = 3 #min is 1
q = N.array([[0, 0, 0]]) #point where the vortex will be located
[z, y, x] = N.mgrid[0:1, -s:s + 1, -s:s + 1]
[Z, Y, X] = N.mgrid[-h:h + 1, -s:s + 1, -s:s + 1]
[W, V, U] = N.zeros_like([Z, Y, X], dtype=float)
for i in range(len(Z)):
#vortexCore2(X,Y,C,Rcore,gamma):
[U_temp, V_temp] = vortexCore2(x[0], y[0], q, Rcore, gamma)
U[i] = U_temp
V[i] = V_temp
L2 = lambda2_3d(X, Y, Z, U, V, W)
#print L2[3]
#vF=mlab.quiver3d(Z,Y,X,W,V,U)
Lamda2 = mlab.contour3d(Z, Y, X, L2, transparent=True)
mlab.show()
return
def vortexCylinder(): #VERTICAL STACK OF 2D FIELDS....3D FIELD
"""
"""
from vortexCore import vortexCore2
from lambda2 import lambda2_3d
gamma = 1 #strength of the vortex.
Rcore = 18 #radious of the vortex core.
s = 20 #size parameter of the field x*y points.
h = 3 #min is 1
q = N.array([[0,0,0]]) #point where the vortex will be located
[z,y,x] = N.mgrid[0:1,-s:s+1, -s:s+1]
[Z,Y,X] = N.mgrid[-h:h+1,-s:s+1, -s:s+1]
[W,V,U] = N.zeros_like([Z,Y,X],dtype=float)
for i in range(len(Z)):
#vortexCore2(X,Y,C,Rcore,gamma):
[U_temp,V_temp] = vortexCore2(x[0],y[0],q,Rcore,gamma)
U[i]=U_temp
V[i]=V_temp
L2 = lambda2_3d(X,Y,Z,U,V,W)
#print L2[3]
#vF=mlab.quiver3d(Z,Y,X,W,V,U)
Lamda2 = mlab.contour3d(Z,Y,X,L2,transparent=True)
mlab.show()
return
def vortexTube_2d():
"""
function that generates a 2d vortex field and writes it to a vtk file
provide check for the functions Lambda2 and vortexCore.
"""
from vortexCore import vortexCore2
from lambda2 import lambda2_2d
gamma = 10 #strength of the vortex.
Rcore = 10 #radious of the vortex core.
s = 15 #size parameter of the field x*y points.
centers = N.array([[0, 0, 0]]) #points where the vortex will be located
[Y, X] = N.mgrid[-s:s + 1, -s:s + 1]
[V, U] = N.zeros_like([Y, X], dtype=float)
#vortexCore2(X,Y,C,Rcore,gamma):
[U, V] = vortexCore2(X, Y, centers, Rcore, gamma)
L2 = lambda2_2d(X, Y, U, V)
l2 = plt.imshow(L2, cmap='OrRd', extent=[-s, s + 1, -s, s + 1])
l2bar = plt.colorbar()
l2bar.set_label('Lambda2')
vF = plt.quiver(X, Y, U, V, pivot='middle', color=None)
return
def vortexTube_2d():
"""
function that generates a 2d vortex field and writes it to a vtk file
provide check for the functions Lambda2 and vortexCore.
"""
from vortexCore import vortexCore2
from lambda2 import lambda2_2d
gamma = 10 #strength of the vortex.
Rcore = 10 #radious of the vortex core.
s = 15 #size parameter of the field x*y points.
centers = N.array([[0,0,0]]) #points where the vortex will be located
[Y,X] = N.mgrid[-s:s+1, -s:s+1]
[V,U] = N.zeros_like([Y,X],dtype=float)
#vortexCore2(X,Y,C,Rcore,gamma):
[U,V] = vortexCore2(X,Y,centers,Rcore,gamma)
L2 = lambda2_2d(X,Y,U,V)
l2 = plt.imshow(L2,cmap='OrRd',extent=[-s,s+1,-s,s+1])
l2bar = plt.colorbar()
l2bar.set_label('Lambda2')
vF = plt.quiver(X,Y,U,V,pivot='middle',color= None)
return