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Jet_Analysis.py
639 lines (491 loc) · 20.6 KB
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Jet_Analysis.py
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import pyPLUTO as pp
import PhyConst as phc
import os
import numpy as np
import asciidata
from scipy import integrate
##############--DATA ANALYSIS CLASS--##########################
#
# This Class has all the functions for the analysing the Data.
# and getting fancy quantities from data.
# CALLED AFTER pyPLUTO.pload object is defined.
#
################################################################
class Force(object):
def al_perp(self,Data):
[r2d, z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
Tool = pp.Tools()
GrdA3 = Tool.Grad(r2d*Data.A3,Data.x1,Data.x2,Data.dx1,Data.dx2)
magGrdA3 = np.sqrt(GrdA3[:,:,0]**2 + GrdA3[:,:,1]**2)
grda3_dict={}
grda3_dict['GrdA3r']=GrdA3[:,:,0]
grda3_dict['GrdA3z']=GrdA3[:,:,1]
grda3_dict['magGrdA3']=magGrdA3
return grda3_dict
def al_para(self,Data):
Br = Data.b1
Bz = Data.b2
Bpol = np.sqrt(Data.b1**2 + Data.b2**2)
Bpara_dict = {}
Bpara_dict['Br'] = Br
Bpara_dict['Bz'] = Bz
Bpara_dict['Bpol'] = Bpol
return Bpara_dict
def Gravity(self,Data):
rg = 0.21
zg = 0.21
[r2d, z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
Tool = pp.Tools()
gravdeno = ((r2d + rg)**2 + (z2d + zg)**2)**(1.5)
gravphi = -1.0/(((r2d + rg)**2 + (z2d + zg)**2)**(0.5))
gradphi = Tool.Grad(gravphi,Data.x1,Data.x2,Data.dx1,Data.dx2)
grda3 = self.al_perp(Data)
Bpara = self.al_para(Data)
Grav_afl = (1.0/(Bpara['Bpol']))*(Bpara['Br']*gradphi[:,:,0] + Bpara['Bz']*gradphi[:,:,1])
Grav_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*gradphi[:,:,0] + grda3['GrdA3z']*gradphi[:,:,1])
Grav_force_dict = {}
Grav_force_dict['G_r'] = (1.0*(r2d+rg))/(gravdeno)
Grav_force_dict['G_z'] = (1.0*(z2d+zg))/(gravdeno)
Grav_force_dict['Grav_tfl']=Data.rho*Grav_tfl
Grav_force_dict['Grav_afl']=Data.rho*Grav_afl
return Grav_force_dict
def Pressure(self,Data):
Tool = pp.Tools()
Prgrad = Tool.Grad(Data.pr,Data.x1,Data.x2,Data.dx1,Data.dx2)
grda3 = self.al_perp(Data)
Press_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*Prgrad[:,:,0] + grda3['GrdA3z']*Prgrad[:,:,1])
Bpara = self.al_para(Data)
Press_afl = (1.0/(Bpara['Bpol']))*(Bpara['Br']*Prgrad[:,:,0] + Bpara['Bz']*Prgrad[:,:,1])
Press_force_dict ={}
Press_force_dict['Fp_r'] = -1.0*(Prgrad[:,:,0]/Data.rho)
Press_force_dict['Fp_z'] = -1.0*(Prgrad[:,:,1]/Data.rho)
Press_force_dict['Press_tfl']= Press_tfl
Press_force_dict['Press_afl']= Press_afl
return Press_force_dict
def Centrifugal(self,Data):
[r2d,z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
grda3 = self.al_perp(Data)
Centri_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*((Data.v3*Data.v3)/r2d))
Bpara = self.al_para(Data)
Centri_afl = (1.0/(Bpara['Bpol']))*(Bpara['Br']*((Data.v3*Data.v3)/r2d))
Centri_force_dict={}
Centri_force_dict['Fcf_r'] = (Data.v3*Data.v3)/r2d
Centri_force_dict['Fcf_z'] = np.zeros(r2d.shape)
Centri_force_dict['Centri_tfl'] = Data.rho*Centri_tfl
Centri_force_dict['Centri_afl'] = Data.rho*Centri_afl
return Centri_force_dict
def Mag_Pressure(self,Data):
magpol = np.sqrt(Data.b1**2 + Data.b2**2)
magpr = 0.5*magpol**2
bphipr = 0.5*Data.b3**2
Tool = pp.Tools()
Grdpolmagpr = Tool.Grad(magpr,Data.x1,Data.x2,Data.dx1,Data.dx2)
Grdphimagpr = Tool.Grad(bphipr,Data.x1,Data.x2,Data.dx1,Data.dx2)
grda3 = self.al_perp(Data)
PolMagpr_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*Grdpolmagpr[:,:,0] + grda3['GrdA3z']*Grdpolmagpr[:,:,1])
PhiMagpr_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*Grdphimagpr[:,:,0] + grda3['GrdA3z']*Grdphimagpr[:,:,1])
Bpara = self.al_para(Data)
PolMagpr_afl = (1.0/(Bpara['Bpol']))*(Bpara['Br']*Grdpolmagpr[:,:,0] + Bpara['Bz']*Grdpolmagpr[:,:,1])
PhiMagpr_afl = (1.0/(Bpara['Bpol']))*(Bpara['Br']*Grdphimagpr[:,:,0] + Bpara['Bz']*Grdphimagpr[:,:,1])
[r2d,z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
pinch = 2.0*(bphipr)/r2d
pinch_tfl = (1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*pinch)
pinch_afl = (1.0/(Bpara['Br']))*(Bpara['Bpol']*pinch)
Magnetic_pressure_dict={}
Magnetic_pressure_dict['bpolpr_tfl']=PolMagpr_tfl
Magnetic_pressure_dict['bphipr_tfl']=PhiMagpr_tfl
Magnetic_pressure_dict['pinch_tfl'] = pinch_tfl
Magnetic_pressure_dict['bpolpr_afl']=PolMagpr_afl
Magnetic_pressure_dict['bphipr_afl']=PhiMagpr_afl
Magnetic_pressure_dict['pinch_afl'] = pinch_afl
return Magnetic_pressure_dict
def Lorentz(self,Data):
[r2d,z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
Tool = pp.Tools()
grb1 = Tool.Grad(Data.b1,Data.x1,Data.x2,Data.dx1,Data.dx2)
grb2 = Tool.Grad(Data.b2,Data.x1,Data.x2,Data.dx1,Data.dx2)
grb3 = Tool.Grad(Data.b3,Data.x1,Data.x2,Data.dx1,Data.dx2)
grI = Tool.Grad(r2d*Data.b3,Data.x1,Data.x2,Data.dx1,Data.dx2) # This is gradient of current r*Bphi used to estimate Jz
Jr = -grb3[:,:,1]
Jphi= grb1[:,:,1] - grb2[:,:,0]
Jz = (1.0/r2d)*grI[:,:,0]
Loren_force_dict={}
Loren_force_dict['Fl_r']= (Jphi*Data.b2 - Jz*Data.b3)/Data.rho
Loren_force_dict['Fl_z']= (Jr*Data.b3 - Jphi*Data.b1)/Data.rho
Loren_force_dict['Fl_phi']=(Jz*Data.b1 - Jr*Data.b2)/Data.rho
return Loren_force_dict
def Stellar_Rad(self,Data,**kwargs):
[r2d,z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
Gravforce = self.Gravity(Data)
Mstar = kwargs.get('Mstar',30.0)
urho = kwargs.get('urho',5.0e-14)
ul = kwargs.get('ul',1.0)
Gammae = kwargs.get('Gammae',0.2369)
Qo = kwargs.get('Qo',1400.0)
Alpha = kwargs.get('Alpha',0.55)
print '-----------------------------------------------'
print 'xfl : ',kwargs.get('xfl',5.0)
print 'Alpha : ',Alpha
print 'Gammae: ',Gammae
print 'Qo : ',Qo
print 'ul : ',ul
print 'urho : ',urho
print 'Mstar : ',Mstar
print '-----------------------------------------------'
sigmae = 0.4
clight = 3.0e10
G = 6.67e-8
Msun = 2.0e33
AU=1.5e13
uvel = np.sqrt((G*Mstar*Msun)/(ul*AU))
Dless = uvel/(urho*ul*AU*sigmae*clight)
Kpara = (Dless**(Alpha))*((Qo**(1.0-Alpha))/(1.0-Alpha))
Tool = pp.Tools()
grv1 = Tool.Grad(Data.v1,Data.x1,Data.x2,Data.dx1,Data.dx2)
grv2 = Tool.Grad(Data.v2,Data.x1,Data.x2,Data.dx1,Data.dx2)
DvrDr = np.abs(grv1[:,:,0])
DvrDz = np.abs(grv1[:,:,1])
DvzDr = np.abs(grv2[:,:,0])
DvzDz = np.abs(grv2[:,:,1])
xrat = z2d/r2d
prf = 1.0/(1.0+xrat**2)
dvdl = prf*(DvrDr + (xrat**2)*DvzDz + xrat*(DvrDz + DvzDr))
Mt = Kpara*((1.0/Data.rho)*dvdl)**(Alpha)
Rad_r = Mt*Gammae*Gravforce['G_r']
Rad_z = Mt*Gammae*Gravforce['G_z']
grda3 = self.al_perp(Data)
StRad_tfl = Data.rho*(1.0/(grda3['magGrdA3']))*(grda3['GrdA3r']*Rad_r + grda3['GrdA3z']*Rad_z)
Bpara = self.al_para(Data)
StRad_afl = Data.rho*(1.0/(Bpara['Bpol']))*(Bpara['Br']*Rad_r + Bpara['Bz']*Rad_z)
Rad_force_dict={'dvdl':dvdl,'Mt':Mt,'Fr_r':Rad_r,'Fr_z':Rad_z,'StRad_tfl':StRad_tfl, 'StRad_afl':StRad_afl}
return Rad_force_dict
def Disk_Rad(self,Data,**kwargs):
Ld = asciidata.open(kwargs.get('file','/Users/bhargavvaidya/test_linediskrpcor_55.dat'))
r2d = np.asarray(Ld[0]).reshape(516,1028)
z2d = np.asarray(Ld[1]).reshape(516,1028)
Srl = np.asarray(Ld[2]).reshape(516,1028)
Svl = np.asarray(Ld[3]).reshape(516,1028)
Mstar = kwargs.get('Mstar',30.0)
urho = kwargs.get('urho',5.0e-14)
ul = kwargs.get('ul',0.1)
Gammae = kwargs.get('Gammae',0.2369)
Zeta = kwargs.get('Zeta',0.4644)
Lambda = kwargs.get('Lambda',0.4969)
Qo = kwargs.get('Qo',1400.0)
Alpha = kwargs.get('Alpha',0.55)
print '-----------------------------------------------'
print 'xfl : ',kwargs.get('xfl',5.0)
print 'Alpha : ',Alpha
print 'Gammae: ',Gammae
print 'Zeta : ',Zeta
print 'Lambda: ',Lambda
print 'Qo : ',Qo
print 'ul : ',ul
print 'urho : ',urho
print 'Mstar : ',Mstar
print '-----------------------------------------------'
sigmae = 0.4
clight = 3.0e10
G = 6.67e-8
Msun = 2.0e33
AU=1.5e13
uvel = np.sqrt((G*Mstar*Msun)/(ul*AU))
Dless = uvel/(urho*ul*AU*sigmae*clight)
prefactor = (3.0/2.0)*(1.0/np.pi)*Gammae*Zeta*Lambda
Kpara = (Dless**(Alpha))*((Qo**(1.0-Alpha))/(1.0-Alpha))
Tool = pp.Tools()
grv2 = Tool.Grad(Data.v2,Data.x1,Data.x2,Data.dx1,Data.dx2)
DvzDz = np.abs(grv2[:,:,1])
dvdl = DvzDz
Disk_Mt = Kpara*((1.0/Data.rho)*dvdl)**(Alpha)
Disk_Rad_r = Disk_Mt*prefactor*Srl[2:514,2:1026]
Disk_Rad_z = Disk_Mt*prefactor*Svl[2:514,2:1026]
DiskRad_force_dict={'d_dvdl':dvdl,'d_Mt':Disk_Mt,'d_Fr_r':Disk_Rad_r,'d_Fr_z':Disk_Rad_z}
return DiskRad_force_dict
def proj_force(self,Data,CompX,CompY,**kwargs):
Flr = CompX
Flz = CompY
magpol_p = np.sqrt(Flr*Flr + Flz*Flz)
phi = np.arctan2(Data.b2,Data.b1)
theta = np.zeros(phi.shape)
Flper_r_p=np.zeros(phi.shape)
Flper_z_p=np.zeros(phi.shape)
magFlper=np.zeros(phi.shape)
alpha = np.arctan2(Flz,Flr)
for i in range(phi.shape[0]):
for j in range(phi.shape[1]):
if (alpha[i,j] > phi[i,j]):
theta[i,j] = (alpha[i,j] - phi[i,j])
magFlper[i,j] = magpol_p[i,j]*np.sin(theta[i,j])
Flper_r_p[i,j] = -1.0*magFlper[i,j]*np.sin(phi[i,j])
Flper_z_p[i,j] = magFlper[i,j]*np.cos(phi[i,j])
else:
theta[i,j] = 2.0*np.pi + (alpha[i,j] - phi[i,j])
magFlper[i,j] = magpol_p[i,j]*np.sin(theta[i,j])
Flper_r_p[i,j] = -1.0*magFlper[i,j]*np.sin(phi[i,j])
Flper_z_p[i,j] = magFlper[i,j]*np.cos(phi[i,j])
magFlpara = magpol_p*np.cos(theta)
Flpara_r_p = magFlpara*np.cos(phi)
Flpara_z_p = magFlpara*np.sin(phi)
magFlpara_p = np.sqrt(Flpara_r_p*Flpara_r_p + Flpara_z_p*Flpara_z_p)
magFlper_p = np.sqrt(Flper_r_p*Flper_r_p + Flper_z_p*Flper_z_p)
Dummy = np.zeros(Data.rho.shape)
para_flvalues_dict = self.newFline_vals(Data,magFlpara_p,Dummy,**kwargs)
perp_flvalues_dict = self.newFline_vals(Data,magFlper_p,Dummy,**kwargs)
Qy = para_flvalues_dict['Qy']
para_flvalues=para_flvalues_dict['Fl_Val']
perp_flvalues=perp_flvalues_dict['Fl_Val']
projection_dict={'Magnitude': magpol_p,'Al_Para_r':Flpara_r_p,'Al_Para_z':Flpara_z_p,'Al_Per_r':Flper_r_p,'Al_Per_z':Flper_z_p, 'para_flvalues': para_flvalues,'perp_flvalues': perp_flvalues,'Qy':Qy}
return projection_dict
def newFline_vals(self,Data,CompX,CompY,**kwargs):
Im = pp.Image()
fl_dict=Im.field_line(Data.b1,Data.b2,Data.x1,Data.x2,Data.dx1,Data.dx2,kwargs.get('xfl',5.0),0.001)
Qx = fl_dict['qx']
Qy = fl_dict['qy']
Final_Values = np.zeros(shape=(2,len(Qx)))
for i in range(len(Qx)):
Final_Values[:,i] = Im.field_interp(CompX,CompY,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Final_Values_dict={'Qy':Qy,'Fl_Val':Final_Values}
return Final_Values_dict
def Fline_values(self,Data,**kwargs):
Im = pp.Image()
fl_dict=Im.field_line(Data.b1,Data.b2,Data.x1,Data.x2,Data.dx1,Data.dx2,kwargs.get('xfl',5.0),0.001)
Qx = fl_dict['qx']
Qy = fl_dict['qy']
Gdict=self.Gravity(Data)
Pdict=self.Pressure(Data)
Cdict=self.Centrifugal(Data)
Ldict=self.Lorentz(Data)
MagPdict = self.Mag_Pressure(Data)
StRdict=self.Stellar_Rad(Data,**kwargs)
Dummy = np.zeros(Data.rho.shape)
Fl_Gr = np.zeros(shape=(2,len(Qx)))
tFl_Gr = np.zeros(shape=(2,len(Qx)))
aFl_Gr = np.zeros(shape=(2,len(Qx)))
Fl_Pr = np.zeros(shape=(2,len(Qx)))
tFl_Pr = np.zeros(shape=(2,len(Qx)))
aFl_Pr = np.zeros(shape=(2,len(Qx)))
Fl_Cf = np.zeros(shape=(2,len(Qx)))
tFl_Cf = np.zeros(shape=(2,len(Qx)))
aFl_Cf = np.zeros(shape=(2,len(Qx)))
Fl_Lf = np.zeros(shape=(2,len(Qx)))
tFl_Lf1 = np.zeros(shape=(2,len(Qx)))
tFl_Lf2 = np.zeros(shape=(2,len(Qx)))
tFl_Pinch = np.zeros(shape=(2,len(Qx)))
aFl_Lf1 = np.zeros(shape=(2,len(Qx)))
aFl_Lf2 = np.zeros(shape=(2,len(Qx)))
aFl_Pinch = np.zeros(shape=(2,len(Qx)))
Fl_StRf = np.zeros(shape=(2,len(Qx)))
tFl_StRf = np.zeros(shape=(2,len(Qx)))
aFl_StRf = np.zeros(shape=(2,len(Qx)))
Fl_DiskRf = np.zeros(shape=(2,len(Qx)))
for i in range(len(Qx)):
Fl_Gr[:,i] = Im.field_interp(Gdict['G_r'],Gdict['G_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Fl_Pr[:,i] = Im.field_interp(Pdict['Fp_r'],Pdict['Fp_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Fl_Cf[:,i] = Im.field_interp(Cdict['Fcf_r'],Cdict['Fcf_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Fl_Lf[:,i] = Im.field_interp(Ldict['Fl_r'],Ldict['Fl_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Fl_StRf[:,i] = Im.field_interp(StRdict['Fr_r'],StRdict['Fr_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Gr[:,i] = Im.field_interp(Gdict['Grav_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Pr[:,i] = Im.field_interp(Pdict['Press_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Cf[:,i] = Im.field_interp(Cdict['Centri_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Lf1[:,i] = Im.field_interp(MagPdict['bpolpr_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Lf2[:,i] = Im.field_interp(MagPdict['bphipr_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_Pinch[:,i] = Im.field_interp(MagPdict['pinch_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
tFl_StRf[:,i] = Im.field_interp(StRdict['StRad_tfl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Gr[:,i] = Im.field_interp(Gdict['Grav_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Pr[:,i] = Im.field_interp(Pdict['Press_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Cf[:,i] = Im.field_interp(Cdict['Centri_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Lf1[:,i] = Im.field_interp(MagPdict['bpolpr_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Lf2[:,i] = Im.field_interp(MagPdict['bphipr_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_Pinch[:,i] = Im.field_interp(MagPdict['pinch_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
aFl_StRf[:,i] = Im.field_interp(StRdict['StRad_afl'],Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
if kwargs.get('DiskRad',False) == True:
DiskRdict = self.Disk_Rad(Data,**kwargs)
for i in range(len(Qx)):
Fl_DiskRf[:,i] = Im.field_interp(DiskRdict['d_Fr_r'],DiskRdict['d_Fr_z'],Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
var_fl = {}
keys_list =['Qy','Fl_Gr','Fl_Pr','Fl_Cf','Fl_Lf','Fl_StRf','Fl_DiskRf','tFl_Gr','tFl_Pr','tFl_Cf','tFl_Lf1','tFl_Lf2','tFl_Pinch','tFl_StRf', 'aFl_Gr','aFl_Pr','aFl_Cf','aFl_Lf1','aFl_Lf2','aFl_Pinch','aFl_StRf']
matrix_list =[Qy,Fl_Gr,Fl_Pr,Fl_Cf,Fl_Lf,Fl_StRf,Fl_DiskRf,tFl_Gr,tFl_Pr,tFl_Cf,tFl_Lf1,tFl_Lf2,tFl_Pinch,tFl_StRf,aFl_Gr,aFl_Pr,aFl_Cf,aFl_Lf1,aFl_Lf2,aFl_Pinch,aFl_StRf]
for i in range(len(keys_list)):
var_fl[keys_list[i]]=matrix_list[i]
#print var_fl.keys()
#var_fl={'Qy':Qy,'Fl_Gr':Fl_Gr,'Fl_Pr':Fl_Pr,'Fl_Cf':Fl_Cf,'Fl_Lf':Fl_Lf,'Fl_StRf':Fl_StRf,'Fl_DiskRf':Fl_DiskRf}
return var_fl
class quantities(object):
def Mflux(self,Data,**kwargs):
G = 6.67e-8
Msun = 2.0e33
AU = 1.5e13
year = 365.0*3600.0*24.0
rho = Data.rho
v2 = Data.v2
v1 = Data.v1
x1 = Data.x1
x2 = Data.x2
rin = kwargs.get('rin',50.0)
zin = kwargs.get('zin',150.0)
ul = kwargs.get('ul',1.0)
urho = kwargs.get('urho',5.0e-14)
Mstar = kwargs.get('Mstar',30.0)
uvel = np.sqrt((G*Mstar*Msun)/(ul*AU))
rneed = np.abs(x1-rin).argmin()
if kwargs.get('normalize',False)==True:
zneed2 = np.abs(x2-(zin-0.5*rin)).argmin()
else:
zneed2 = np.abs(x2-0.001).argmin()
zneed = np.abs(x2-zin).argmin()
if kwargs.get('scale',False)==True:
phx1 = x1*ul*AU
phx2 = x2*ul*AU
phv1 = v1*uvel
phv2 = v2*uvel
phrho= rho*urho
Mfr = 2.0*np.pi*phx1[rneed]*integrate.trapz(phrho[rneed,zneed2:zneed]*phv1[rneed,zneed2:zneed],phx2[zneed2:zneed])
Mfz = 2.0*np.pi*integrate.trapz(phrho[0:rneed,zneed]*phv2[0:rneed,zneed]*phx1[0:rneed],phx1[0:rneed])
Mfr = (Mfr/Msun)*year
Mfz = (Mfz/Msun)*year
print "Radial Mass flux is", Mfr
print "Vertical Mass Flux is",Mfz
print "Vertical/Radial : ", Mfz/Mfr
else:
Mfr = 2.0*np.pi*x1[rneed]*integrate.trapz(rho[rneed,zneed2:zneed]*v1[rneed,zneed2:zneed],x2[zneed2:zneed])
Mfz = 2.0*np.pi*integrate.trapz(rho[0:rneed,zneed]*v2[0:rneed,zneed]*x1[0:rneed],x1[0:rneed])
print "Radial Mass flux is", Mfr
print "Vertical Mass Flux is",Mfz
print "Vertical/Radial :", Mfz/Mfr
return {'Mfr':Mfr,'Mfz':Mfz}
def Crit_points(self,Data,xfl=None):
Im = pp.Image()
if xfl is None: xfl = 5.0
Vpol = np.sqrt(Data.v1**2 + Data.v2**2)
Bpol = np.sqrt(Data.b1**2 + Data.b2**2)
Btot = np.sqrt(Data.b1**2 + Data.b2**2 + Data.b3**2)
Valfven = Bpol/np.sqrt(Data.rho)
Vfast = Btot/np.sqrt(Data.rho)
Varat = Vpol/Valfven
Vfrat = Vpol/Vfast
Dummy = np.zeros(shape=Valfven.shape)
fldict = Im.field_line(Data.b1,Data.b2,Data.x1,Data.x2,Data.dx1,Data.dx2,xfl,0.001)
Qx = fldict['qx']
Qy = fldict['qy']
Fl_Varat = np.zeros(shape=(2,len(Qx)))
Fl_Vfrat = np.zeros(shape=(2,len(Qx)))
for i in range(len(Qx)):
Fl_Varat[:,i] = Im.field_interp(Varat,Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Fl_Vfrat[:,i] = Im.field_interp(Vfrat,Dummy,Data.x1,Data.x2,Data.dx1,Data.dx2,Qx[i],Qy[i])
Val1 = [Qx[np.abs(Fl_Varat[0,:]-1.0).argmin()],Qy[np.abs(Fl_Varat[0,:]-1.0).argmin()]]
Val2 = [Qx[np.abs(Fl_Vfrat[0,:]-1.0).argmin()],Qy[np.abs(Fl_Vfrat[0,:]-1.0).argmin()]]
print '------------------------------------------------'
print '[Qx,Qy] at Alfven :', Val1
print '[Qx,Qy] at Fast :', Val2
print 'Opening Angle at Alfven :',90.0-(180.0/np.pi)*np.arctan(Val1[1]/(Val1[0]-xfl))
print 'Opening Angle at Fast :',90.0-(180.0/np.pi)*np.arctan(Val2[1]/(Val2[0]-xfl))
print '------------------------------------------------'
return [Val1,Val2,90.0-(180.0/np.pi)*np.arctan(Val1[1]/(Val1[0]-xfl)),90.0-(180.0/np.pi)*np.arctan(Val2[1]/(Val2[0]-xfl))]
def Current(self,Data):
D = Data
[r2d, z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
Cur = r2d*D.b3
return Cur
def Magspeed(self,Data):
magspeeddict={}
Vpol = np.sqrt(Data.v1**2 + Data.v2**2)
Bpol = np.sqrt(Data.b1**2 + Data.b2**2)
Btot = np.sqrt(Data.b1**2 + Data.b2**2 + Data.b3**2)
Alfv = Bpol/np.sqrt(Data.rho)
Alftot = Btot/np.sqrt(Data.rho)
Gam = 5.0/3.0
cs = np.sqrt((Gam*Data.pr)/Data.rho)
Magslow = np.sqrt(0.5*(Alftot**2 + cs**2) - 0.5*np.sqrt((Alftot**2 + cs**2)**2 - 4.0*(Alfv**2)*(cs**2)))
magfast = np.sqrt(0.5*(Alftot**2 + cs**2) + 0.5*np.sqrt((Alftot**2 + cs**2)**2 - 4.0*(Alfv**2)*(cs**2)))
magspeeddict={'fast':magfast,'slow':Magslow,'alfven':Alfv}
return magspeeddict
def Force_Multi(self,Data,**kwargs):
D = Data
[r2d, z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
T = pp.Tools()
gradvr = T.Grad(D.v1,D.x1,D.x2,D.dx1,D.dx2)
gradvz = T.Grad(D.v2,D.x1,D.x2,D.dx1,D.dx2)
dvrdr = gradvr[:,:,0]
dvrdz = gradvr[:,:,1]
dvzdr = gradvz[:,:,0]
dvzdz = gradvz[:,:,1]
xrat = z2d/r2d
dvdl = (1.0/(1.0 + xrat**2.0))*(np.abs(dvrdr) + xrat*(np.abs(dvrdz)+np.abs(dvzdr)) + (xrat**2.0)*(np.abs(dvzdz)))
G = 6.67e-8
Msun = 2.0e33
AU = 1.5e13
year = 365.0*3600.0*24.0
sigmae = 0.4
clight = 3.0e10
Qo = 1400.0
alp = kwargs.get('alpha',0.55)
ul = kwargs.get('ul',1.0)
urho = kwargs.get('urho',5.0e-14)
Mstar = kwargs.get('Mstar',30.0)
uvel = np.sqrt((G*Mstar*Msun)/(ul*AU))
Kpara = (Qo**(1.0-alp))/(1.0-alp)
Dless = uvel/(sigmae*clight*urho*ul*AU)
codeval = (1.0/D.rho)*np.abs(dvdl)
Mt = Kpara*(codeval*Dless)**(alp)
return Mt
def dvdl(self,Data,**kwargs):
D = Data
[r2d, z2d] = np.meshgrid(Data.x1,Data.x2)
r2d=r2d.T
z2d=z2d.T
T = pp.Tools()
gradvr = T.Grad(D.v1,D.x1,D.x2,D.dx1,D.dx2)
gradvz = T.Grad(D.v2,D.x1,D.x2,D.dx1,D.dx2)
dvrdr = gradvr[:,:,0]
dvrdz = gradvr[:,:,1]
dvzdr = gradvz[:,:,0]
dvzdz = gradvz[:,:,1]
xrat = z2d/r2d
if kwargs.get('Disk',False) == True:
dvdl = np.abs(dvzdz)
else:
dvdl = (1.0/(1.0 + xrat**2.0))*(np.abs(dvrdr) + xrat*(np.abs(dvrdz)+np.abs(dvzdr)) + (xrat**2.0)*(np.abs(dvzdz)))
return dvdl
def Lsob(self,Data,**kwargs):
D = Data
if kwargs.get('Disk',False) == True:
DvDl = self.dvdl(D,Disk=True)
else:
DvDl = self.dvdl(D,Star=True)
Gamma = 5.0/3.0
Vpol = np.sqrt(D.v1**2 + D.v2**2)
csound = np.sqrt(Gamma*(D.pr/D.rho))
Lsob2D = csound/DvDl
VpolAvg = np.zeros(shape=D.v1.shape)
LsobAvg = np.zeros(shape=D.v1.shape)
Area = np.zeros(shape=D.v1.shape)
for j in range(D.n2):
for i in range(D.n1):
LsobAvg[i,j] = Lsob2D[i,j]*D.dx1[i]*D.dx2[j]
Area[i,j] = D.dx1[i]*D.dx2[j]
VpolAvg[i,j] = Vpol[i,j]*D.dx1[i]*D.dx2[j]
LsAvg = np.sum(LsobAvg)
ArAvg = np.sum(Area)
VpAvg = np.sum(VpolAvg)
Pol_Vel_Avg = VpAvg/ArAvg
Sob_Length_Avg = LsAvg/ArAvg
Growth_Rate = Sob_Length_Avg/Pol_Vel_Avg
LineInst_Dict = {'VpAvg':Pol_Vel_Avg,'Omega': Growth_Rate,'Lsob':Sob_Length_Avg}
return LineInst_Dict