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mergereads.py
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from __future__ import print_function
from __future__ import division
from builtins import str
from builtins import zip
from past.utils import old_div
import matplotlib
from matplotlib import rc
from matplotlib import axes
from numpy import *
from pylab import *
from scipy.integrate import *
from scipy.interpolate import *
from matplotlib.colors import BoundaryNorm
from matplotlib.patches import Ellipse
#Uncomment the following if you want to use LaTeX in figures
rc('font',**{'family':'serif','serif':['Times']})
rc('mathtext',fontset='cm')
rc('mathtext',rm='stix')
rc('text', usetex=True)
# #add amsmath to the preamble
matplotlib.rcParams['text.latex.preamble']=[r"\usepackage{amssymb,amsmath}"]
import numpy as np
import matplotlib.pyplot as plt
import numpy.random
import time
import harm_script as h
import reader as rk
ioff()
# last stable orbit
def arms(a):
z1=1.+(1.-a*a)**(old_div(1.,3.))*((1.+a)**(old_div(1.,3.))+(1.-a)**(old_div(1.,3.)))
z2=sqrt(3.*a*a+z1*z1)
# if (a>0.):
# r=3.+z2-sqrt((3.-z1)*(3.+z1+2.*z2))
# else:
r=3.+z2-sign(a)*sqrt((3.-z1)*(3.+z1+2.*z2))
return r
# black hole horizon (Sasha's clone):
def bhole(rhor):
ax = gca()
el = Ellipse((0,0), 2*rhor, 2*rhor, facecolor='k', alpha=1)
art=ax.add_artist(el)
art.set_zorder(20)
draw()
def dinforead(prefix):
# mesh data:
dfile=prefix+'_dinfo.dat'
fd=open(dfile, 'r')
s=str.split(str.strip(fd.readline()))
nr=int(s[0]) ; nh=int(s[1]) ; nphi=int(s[2])
s=str.split(str.strip(fd.readline()))
a=double(s[0])
s=str.split(str.strip(fd.readline()))
if(s):
t=double(s[0])
else:
t=0.
print("Kerr a = "+str(a))
fd.close()
return nr, nh, nphi, a, t
def tedplotter(dire):
nr, nh, nphi, a, t=dinforead(dire+'/merge')
rfile=dire+'/merge_r.dat'
fr=open(rfile, 'r')
s=str.split(str.strip(fr.readline()))
r=[]
while(s):
r.append(s[0])
s=str.split(str.strip(fr.readline()))
fr.close()
r=asarray(r, dtype=double)
# nr=size(r)
# polar angle mesh:
hfile='/home/pasha/harm/harmpi/'+dire+'/merge_h.dat'
fh=open(hfile, 'r')
s=str.split(str.strip(fh.readline()))
th=[]
while(s):
th.append(s[0])
s=str.split(str.strip(fh.readline()))
fh.close()
th=asarray(th, dtype=double)
# nh=size(th)
# 2d-grid (order??)
h2,r2=meshgrid(th,r)
print(shape(r2))
print(nr, nh)
# pressure:
pfile=dire+'/merge_p.dat'
fp=open(pfile, 'r')
s=str.split(str.strip(fp.readline()))
p=[]
while(s):
p.append(s[0])
s=str.split(str.strip(fp.readline()))
fp.close()
p=asarray(p, dtype=double) ; p=reshape(p, [nr, nh])
# TudMA, TudEM
trr=[] ; thh=[] ; tpp=[] ; trp=[] ; thp=[]
tmafile=dire+'/merge_tudma.dat'
ftma=open(tmafile, 'r')
s=str.split(str.strip(ftma.readline()))
rho=[]
while(s):
trr.append(s[5])
thh.append(s[10])
tpp.append(s[15])
trp.append(s[7])
thp.append(s[11])
s=str.split(str.strip(ftma.readline()))
ftma.close()
trr=reshape(asarray(trr, dtype=double), [nr, nh])
thh=reshape(asarray(thh, dtype=double), [nr, nh])
tpp=reshape(asarray(tpp, dtype=double), [nr, nh])
trp=reshape(asarray(trp, dtype=double), [nr, nh])
thp=reshape(asarray(thp, dtype=double), [nr, nh])
emtrr=[] ; emthh=[] ; emtpp=[] ; emtrp=[] ; emthp=[]
temfile=dire+'/merge_tudem.dat'
ftem=open(temfile, 'r')
s=str.split(str.strip(ftem.readline()))
rho=[]
while(s):
emtrr.append(s[5])
emthh.append(s[10])
emtpp.append(s[15])
emtrp.append(s[7])
emthp.append(s[11])
s=str.split(str.strip(ftem.readline()))
ftem.close()
emtrr=reshape(asarray(emtrr, dtype=double), [nr, nh])
emthh=reshape(asarray(emthh, dtype=double), [nr, nh])
emtpp=reshape(asarray(emtpp, dtype=double), [nr, nh])
emtrp=reshape(asarray(emtrp, dtype=double), [nr, nh])
emthp=reshape(asarray(emthp, dtype=double), [nr, nh])
alevs1=1e-3*0.5
alevs2=1.0*0.5
na=30
alevs=(old_div(alevs2,alevs1))**(old_div(arange(na),double(na-1)))*alevs1
alevs=around(alevs, 3)
alevs[0]=0.
alevs=unique(alevs)
cmap = plt.get_cmap('jet')
cmap.set_bad('white',1.)
norm = BoundaryNorm(alevs, ncolors=cmap.N, clip=False)
rmax=15.
rhor = 1.+(1.-a**2)**0.5
clf()
fig=figure()
subplot(121)
contourf(r2*sin(h2), r2*cos(h2),fabs(old_div((trp+emtrp),p)), levels=alevs, norm=norm, cmap=cmap)
colorbar()
contour(r2*sin(h2), r2*cos(h2),(old_div((trp+emtrp),p)), colors='w', levels=[0.])
contour(r2*sin(h2), r2*cos(h2),p, colors='w', linestyles='dotted')
xlim(0., rmax)
ylim(old_div(-rmax,2.), old_div(rmax,2.))
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
title(r'$\alpha_{r\varphi}$')
subplot(122)
contourf(r2*sin(h2), r2*cos(h2),fabs(old_div((thp+emthp),p)), levels=alevs, norm=norm, cmap=cmap)
colorbar()
contour(r2*sin(h2), r2*cos(h2),(old_div((thp+emthp),p)), colors='w', levels=[0.])
contour(r2*sin(h2), r2*cos(h2),p, colors='w', linestyles='dotted')
xlim(0., rmax)
ylim(old_div(-rmax,2.), old_div(rmax,2.))
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
title(r'$\alpha_{z\varphi}$')
fig.set_size_inches(15, 5)
fig.tight_layout(pad=0., h_pad=-2.)
savefig(dire+'/alphas.eps')
close()
# reading all the averaged maps of the variables
def velread(prefix='merge_', nope=False, ifaphi=True):
# prefix = 'titan2/merge_'
rfile=prefix+'_r.dat'
fr=open(rfile, 'r')
s=str.split(str.strip(fr.readline()))
r=[]
while(s):
r.append(s[0])
s=str.split(str.strip(fr.readline()))
fr.close()
r=asarray(r, dtype=double)
hfile=prefix+'_h.dat'
fh=open(hfile, 'r')
s=str.split(str.strip(fh.readline()))
h=[]
while(s):
h.append(s[0])
s=str.split(str.strip(fh.readline()))
fh.close()
h=asarray(h, dtype=double)
h2,r2=meshgrid(h,r)
nr,nh=shape(h2)
# density:
rhofile=prefix+'_rho.dat'
frho=open(rhofile, 'r')
s=str.split(str.strip(frho.readline()))
rho=[]
while(s):
rho.append(s[0])
s=str.split(str.strip(frho.readline()))
frho.close()
rho=asarray(rho, dtype=double)
rho=reshape(rho, [nr, nh])
# pressure:
pfile=prefix+'_p.dat'
fp=open(pfile, 'r')
s=str.split(str.strip(fp.readline()))
p=[]
while(s):
p.append(s[0])
s=str.split(str.strip(fp.readline()))
fp.close()
p=asarray(p, dtype=double)
p=reshape(p, [nr, nh])
# magnetic pressure:
pfile=prefix+'_mp.dat'
fmp=open(pfile, 'r')
s=str.split(str.strip(fmp.readline()))
mp=[]
while(s):
mp.append(s[0])
s=str.split(str.strip(fmp.readline()))
fmp.close()
mp=asarray(mp, dtype=double)
mp=reshape(mp, [nr, nh])
# velocities:
uufile=prefix+'_uu.dat'
udfile=prefix+'_ud.dat'
puufile=prefix+'_puu.dat'
pudfile=prefix+'_pud.dat'
mpuufile=prefix+'_mpuu.dat'
mpudfile=prefix+'_mpud.dat'
uu0,uur, uuh, uup = rk.uread(uufile,[nr,nh]) # density-averaged velocity
ud0,udr, udh, udp = rk.uread(udfile,[nr,nh]) # density-averaged velocity
u0=sqrt(fabs(uu0*ud0)) ; ur=sqrt(fabs(uur*udr))*sign(uur) ; uh=sqrt(fabs(uuh*udh))*sign(uuh)
up=sqrt(fabs(uup*udp))*sign(uup)
if(nope):
pu0,pur, puh, pup = u0,ur, uh, up
mpu0,mpur, mpuh, mpup = u0,ur, uh, up
else:
puu0,puur, puuh, puup = rk.uread(puufile,[nr,nh]) # pressure-averaged velocity
pud0,pudr, pudh, pudp = rk.uread(pudfile,[nr,nh]) # pressure-averaged velocity
mpuu0,mpuur, mpuuh, mpuup = rk.uread(mpuufile,[nr,nh]) # pressure-averaged velocity
mpud0,mpudr, mpudh, mpudp = rk.uread(mpudfile,[nr,nh]) # pressure-averaged velocity
pu0=sqrt(fabs(puu0*pud0)) ; pur=sqrt(fabs(puur*pudr))*sign(puur) ; puh=sqrt(fabs(puuh*pudh))*sign(puuh) ; pup=sqrt(fabs(puup*pudp))*sign(puup)
mpu0=sqrt(fabs(mpuu0*mpud0)) ; mpur=sqrt(fabs(mpuur*mpudr))*sign(mpuur) ; mpuh=sqrt(fabs(mpuuh*mpudh))*sign(mpuuh) ; mpup=sqrt(fabs(mpuup*mpudp))*sign(mpuup)
if(ifaphi):
# vector potential A_phi:
pfile=prefix+'_aphi.dat'
faphi=open(pfile, 'r')
s=str.split(str.strip(faphi.readline()))
aphi=[]
while(s):
aphi.append(s[0])
s=str.split(str.strip(faphi.readline()))
faphi.close()
aphi=asarray(aphi, dtype=double)
aphi=reshape(aphi, [nr, nh])
else:
aphi=rho
return r2, h2, rho, p, mp, u0, ur, uh, up, pu0, pur, puh, pup, mpu0, mpur, mpuh, mpup, aphi
# plots mean (phi- and t-averaged) maps of densities and velocities
def mplotter(dire='.',nope=False):
dmatrix=False
nr, nh, nphi, a, t=dinforead(dire+'/merge')
r2, h2, rho, p, pm, u0, ur, uh, up, pu0, pur, puh, pup, mpu0, mpur, mpuh, mpup, aphi = velread(dire+'/merge')
#
# velocity correlation matrix:
if(dmatrix):
dfile=dire+'/merge_corv.dat'
fd=open(dfile, 'r')
# s=str.split(str.strip(fd.readline()))
dxy=zeros([3,3,nr,nh], dtype=double)
# vtrace1=zeros([nr,nh], dtype=double)
for kx in arange(nr):
for ky in arange(nh):
s=str.split(str.strip(fd.readline()))
dxy[0,0,kx,ky]=double(s[0])
dxy[1,1,kx,ky]=double(s[1])
dxy[2,2,kx,ky]=double(s[2])
dxy[0,1,kx,ky]=double(s[3])
dxy[1,0,kx,ky]=double(s[3])
dxy[1,2,kx,ky]=double(s[4])
dxy[2,1,kx,ky]=double(s[4])
dxy[0,2,kx,ky]=double(s[5])
dxy[2,0,kx,ky]=double(s[5])
#
vtrace=trace(dxy, axis1=0, axis2=1)
# print "vtrace = "+str(vtrace1.min())+" to "+str(vtrace1.max())
# print "vtrace = "+str(vtrace1.min())+" to "+str(vtrace1.max())
# vertical slice:
rrangemin=10. ; rrangemax=12.
rrange=double((r2>rrangemin)*(r2<rrangemax))
# averaging over radial velocity
vtracemean=old_div((vtrace*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
urmean=old_div((ur*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
upmean=old_div((up*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
uhmean=old_div((uh*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
th=unique(h2)
fig=figure()
clf()
plot(cos(th), sqrt(vtracemean), label='velocity RMS', color='b')
plot(cos(th), urmean, label='radial velocity', color='r')
plot(cos(th), -urmean, color='r', linestyle='dotted')
plot(cos(th), upmean, label='rotation velocity', color='k')
# plot(cos(th), th*0.+rrangemin/(rrangemin**1.5+a), color='k', linestyle='dotted')
# plot(cos(th), th*0.+rrangemax/(rrangemax**1.5+a), color='k', linestyle='dotted')
plot(cos(th), uhmean, label='latitudinal velocity', color='g')
plot(cos(th), -uhmean, color='g', linestyle='dotted')
yscale('log')
legend(loc='best')
xlabel(r'$\cos\theta$')
ylabel('$v/c$')
fig.set_size_inches(12, 6)
savefig(dire+'/velcompare.eps')
close()
ono=20 # number of angular frequency levels
rmin=old_div(h.Risco(a),2.)
rhor = 1.+(1.-a**2)**0.5
rmax=20.
rlevs=(rmax/rmin*1.5)**(old_div(arange(ono),double(ono)))*rmin
olevs=old_div(1.,(rlevs**1.5+a))
olevs=olevs[::-1]
olevs[ono-1]=olevs.max()*10.
cmap = plt.get_cmap('jet')
cmap.set_bad('white',1.)
# grr=1./(1.-2./r+a**2/r**2)
norm = BoundaryNorm(olevs, ncolors=cmap.N, clip=True)
# density plot:
clf()
contourf(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), cmap=cmap, nlevels=30)
contour(r2*sin(h2), r2*cos(h2), aphi, colors='k')
xlim(0., rmax)
ylim(old_div(-rmax,2.), old_div(rmax,2.))
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
savefig(dire+'/rho.eps')
savefig(dire+'/rho.png')
# beta magnetization plot:
beta1=0.1 ; beta2=1000. ; nbeta=30
betalevs=log10((old_div(beta2,beta1))**(old_div(arange(nbeta),double(nbeta-1)))*beta1)
clf()
contourf(r2*sin(h2), r2*cos(h2), log10(old_div(p,pm)),levels=betalevs)
colorbar()
contour(r2*sin(h2), r2*cos(h2), log10(old_div(p,pm)),levels=[0.], colors='w', linewidths=2.)
xlim(0., rmax)
ylim(old_div(-rmax,2.), old_div(rmax,2.))
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
savefig(dire+'/beta.eps')
savefig(dire+'/beta.png')
# radial velocity
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), up,levels=olevs,norm=norm)
colorbar()
contour(r2*sin(h2), r2*cos(h2), old_div(1.,((r2*sin(h2))**1.5+a)), colors='k',levels=olevs,linewidths=1)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
fig.set_size_inches(8, 8)
savefig(dire+'/omega.eps')
savefig(dire+'/omega.png')
vlevs=(arange(ono)/double(ono)*2.-1.)*0.01
vlevs[0]=ur.min()*1.1
vlevs[ono-1]=ur.max()*1.1
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
hdisk=0.25
wdisk=double(fabs(cos(h2))<hdisk)
wwind=double(fabs(cos(h2))>hdisk)
urmean=old_div(((rho*ur)*wdisk).mean(axis=1),(rho*wdisk).mean(axis=1))
urmeanp=old_div(((p*pur)*wdisk).mean(axis=1),(p*wdisk).mean(axis=1))
# flow lines:
nx=20 ; ny=21
xmin=0. ; xmax=30.
ymin=-10. ; ymax=10.
cs=1. #p/rho/(4./3.)
xflow=(xmax-xmin)*(arange(nx)+0.5)/double(nx)+xmin ; yflow=(ymax-ymin)*(arange(ny)+0.5)/double(ny)+ymin
x2,y2=meshgrid(xflow, yflow)
# vxfun=interp2d(r2*sin(h2), r2*cos(h2), ur*sin(h2)+uh*cos(h2),kind='linear')
# vyfun=interp2d(r2*sin(h2), r2*cos(h2), -uh*sin(h2)+ur*cos(h2),kind='linear')
# vx=vxfun(xflow, yflow) ; vy=vyfun(xflow, yflow)
xgrid=(r2*sin(h2)).flatten() ; ygrid=(r2*cos(h2)).flatten()
vxflow=(ur/cs*sin(h2)+uh/cs*cos(h2)).flatten()
vyflow=(-uh/cs*sin(h2)+ur/cs*cos(h2)).flatten()
pvxflow=(pur/cs*sin(h2)+puh/cs*cos(h2)).flatten()
pvyflow=(-puh/cs*sin(h2)+pur/cs*cos(h2)).flatten()
# vxflow=xgrid ; vyflow=ygrid
vx=griddata(list(zip(xgrid, ygrid)),vxflow, (x2,y2),method='nearest')
vy=griddata(list(zip(xgrid, ygrid)),vyflow, (x2,y2),method='nearest')
pvx=griddata(list(zip(xgrid, ygrid)),pvxflow, (x2,y2),method='nearest')
pvy=griddata(list(zip(xgrid, ygrid)),pvyflow, (x2,y2),method='nearest')
vmin=1e-8 # sqrt((vx**2+vy**2)).min()*9.
vmax=0.1 # sqrt((vx**2+vy**2)).max()*1.1
vlevs=log10((old_div(vmax,vmin))**(old_div(arange(20),double(19)))*vmin)
vlevs[0]=-30.
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
# vmax=0.01
# vmin=-0.01
# vlevs=(vmax-vmin)*(arange(20)/double(19))+vmin
# norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), log10(old_div(sqrt(ur**2+uh**2),cs)),levels=vlevs,norm=norm)
# contourf(xflow, yflow, sqrt(vx**2+vy**2),levels=vlevs,norm=norm)
colorbar()
streamplot(xflow, yflow, pvx, pvy,color='k')
streamplot(xflow, yflow, vx, vy,color='w')
xlim(xmin, xmax)
ylim(ymin, ymax)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
fig.set_size_inches(15, 8)
savefig(dire+'/stream.eps')
savefig(dire+'/stream.png')
close()
# near eqplane:
xscale=10.
nx=7
ny=5
xflow=xscale*(arange(nx))/double(nx-1) ; yflow=xscale*hdisk*((arange(ny))/double(ny-1)*2.-1.)
x2,y2=meshgrid(xflow, yflow)
vx=griddata(list(zip(xgrid, ygrid)),vxflow, (x2,y2),method='nearest')
vy=griddata(list(zip(xgrid, ygrid)),vyflow, (x2,y2),method='nearest')
pvx=griddata(list(zip(xgrid, ygrid)),pvxflow, (x2,y2),method='nearest')
pvy=griddata(list(zip(xgrid, ygrid)),pvyflow, (x2,y2),method='nearest')
vratmin=0.6 # 0.2
vratmax=1.1 # 1.
nv=10
vratlevs=(arange(nv+1))/double(nv)*(vratmax-vratmin)+vratmin
# vratlevs[9]=1.3
clf()
fig=figure()
# (sqrt(pur**2+puh**2))/(sqrt(ur**2+uh**2))
contourf(r2*sin(h2), r2*cos(h2), old_div(pur,ur), levels=vratlevs, cmap='jet')
colorbar()
contour(r2*sin(h2), r2*cos(h2), old_div(pur,ur), levels=[1.], colors='w')
plot([0.,xscale], [0.,0.], color='k', linestyle='dotted')
# streamplot(xflow, yflow, pvx, pvy,color='k')
streamplot(xflow, yflow, vx, vy,color='k')
xlim(0.5, xscale)
ylim(-xscale*hdisk, xscale*hdisk)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
fig.set_size_inches(5*2+1, 5*2*hdisk+1.5)
fig.tight_layout(pad=0.5)
savefig(dire+'/streamband.eps')
savefig(dire+'/streamband.png')
close()
vratmin=0.5 # 0.2
vratmax=2.5 # 1.
nv=10
vratlevs=(arange(nv+1))/double(nv)*(vratmax-vratmin)+vratmin
clf()
fig=figure()
# (sqrt(pur**2+puh**2))/(sqrt(ur**2+uh**2))
contourf(r2*sin(h2), r2*cos(h2), old_div(mpur,pur), levels=vratlevs, cmap='jet')
colorbar()
contour(r2*sin(h2), r2*cos(h2), old_div(mpur,pur), levels=[1.], colors='w')
plot([0.,xscale], [0.,0.], color='k', linestyle='dotted')
# streamplot(xflow, yflow, pvx, pvy,color='k')
streamplot(xflow, yflow, vx, vy,color='k')
xlim(0.5, xscale)
ylim(-xscale*hdisk, xscale*hdisk)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
fig.set_size_inches(5*2+1, 5*2*hdisk+1.5)
fig.tight_layout(pad=0.5)
savefig(dire+'/streamband_mag.eps')
savefig(dire+'/streamband_mag.png')
close()
# vertical slice:
rrange=double((r2>5.)*(r2<10.))
urhmean=old_div((ur*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
uhhmean=old_div((uh*rho*rrange).mean(axis=0),(rho*rrange).mean(axis=0))
urhmeanp=old_div((pur*p*rrange).mean(axis=0),(p*rrange).mean(axis=0))
uhhmeanp=old_div((puh*p*rrange).mean(axis=0),(p*rrange).mean(axis=0))
# print shape(urhmean)
# print shape(h)
th=unique(h2)
clf()
fig=figure()
subplot(211)
plot(cos(th), urhmean, color='k')
plot(cos(th), urhmeanp, color='r')
# plot(cos(th), uhhmean, color='k', linestyle='dotted')
# plot(cos(th), uhhmeanp, color='r', linestyle='dotted')
xlabel(r'$\cos\theta$')
ylabel(r'$u^r$')
ylim(-0.035,0.005)
xlim(-hdisk, hdisk)
subplot(212)
plot(cos(th), old_div(urhmeanp,urhmean), color='k')
xlabel(r'$\cos\theta$')
ylabel(r'$\langle u^r\rangle_p / \langle u^r\rangle_\rho$')
xlim(-hdisk, hdisk)
ylim(0.,1.)
fig.set_size_inches(8, 6)
fig.tight_layout(pad=1.0,h_pad=0.5, w_pad=0.5)
savefig(dire+'/vverts.eps')
savefig(dire+'/vverts.png')
close()
clf()
contourf(r2*sin(h2), r2*cos(h2), uh,levels=vlevs,norm=norm)
colorbar()
# contour(r2*sin(h2), r2*cos(h2), 1./((r2*sin(h2))**1.5+a), colors='k',levels=olevs,linewidths=1)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
savefig(dire+'/uh.eps')
# turbulent velocity parameters:
vmin=1e-8
vmax=10.
ono=100
vlevs=(old_div(vmax,vmin))**(old_div(arange(ono),double(ono-1)))*vmin
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
if(dmatrix&False):
clf()
fig=figure()
# subplot(331)
contourf(r2*sin(h2), r2*cos(h2), vtrace,levels=vlevs,norm=norm)
colorbar()
# contour(r2*sin(h2), r2*cos(h2), 1./((r2*sin(h2))**1.5+a), colors='k',levels=olevs,linewidths=1)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
# contour(r2*sin(h2), r2*cos(h2), cos(h2), colors='y',linestyles='dashed',levels=[-hdisk, hdisk])
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
savefig(dire+'/vturb.eps')
close()
vlevs=(2.*(old_div(arange(ono),double(ono-1)))-1.)*0.5
vlevs[0]=-1.
vlevs[ono-1]=1.
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
clf()
fig=figure()
subplot(331)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[0,0],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{rr}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(332)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[0,1],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{r\theta}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(333)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[0,2],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{r\varphi}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(334)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[1,0],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\theta r}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(335)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[1,1],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\theta\theta}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(336)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[1,2],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\theta\varphi}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(337)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[2,0],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\varphi r}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(338)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[2,1],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\varphi\theta}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
subplot(339)
contourf(r2*sin(h2), r2*cos(h2), old_div(dxy[2,2],vtrace),levels=vlevs,norm=norm)
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3), colors='w',linestyles='dotted')
title(r'$\Delta_{\varphi\varphi}$')
xlim(0., 20.)
ylim(-10., 10.)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
fig.set_size_inches(12, 12)
fig.tight_layout(pad=1.0,h_pad=0.5, w_pad=0.5)
savefig(dire+'/dmatrix.eps')
close()
if(dmatrix&False):
# the tetrad has reasonable physical sense only if u^h << u^r,phi
drrdisk=old_div((dxy[0,0]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
dhhdisk=old_div((dxy[1,1]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
dppdisk=old_div((dxy[2,2]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
drpdisk=old_div((dxy[0,2]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
drhdisk=old_div((dxy[0,1]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
dhpdisk=old_div((dxy[1,2]*wdisk*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
dhpdiskplus=old_div((dxy[1,2]*wdisk*cos(h2)*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
# dhpdiskplus=(dxy[1,2]*wdisk*cos(h2)*rho).mean(axis=1)/(wdisk*rho).mean(axis=1)
drhdiskplus=old_div((dxy[1,0]*wdisk*cos(h2)*rho).mean(axis=1),(wdisk*rho).mean(axis=1))
# drhdiskplus=(dxy[1,0]*wdisk*cos(h2)*rho).mean(axis=1)/(wdisk*rho).mean(axis=1)
dtot=drrdisk+dhhdisk+dppdisk
clf()
plot(r, old_div(drrdisk,dtot), color='k')
plot(r, old_div(dhhdisk,dtot), color='g')
plot(r, old_div(dppdisk,dtot), color='r')
plot(r, old_div(drpdisk,dtot), color='r', linestyle='dotted')
plot(r, old_div(drhdisk,dtot), color='g', linestyle='dotted')
plot(r, old_div(dhpdisk,dtot), color='orange', linestyle='dotted')
plot(r, old_div(dhpdiskplus,dtot), color='orange', linestyle='dashed')
plot(r, old_div(drhdiskplus,dtot), color='g', linestyle='dashed')
plot(r*0.+h.Risco(a), arange(nr)/double(nr-1)*2.-1., color='k', linestyle='dotted')
xlabel(r'$r$')
ylabel(r'$\Delta_{ik} / \Delta_{\rm tot}$')
xscale('log')
xlim(1,20)
# ylim(-1e-2,1e-2)
savefig(dire+'/dmatrix_rslice.eps')
drrvert=old_div((dxy[0,0]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
dhhvert=old_div((dxy[1,1]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
dppvert=old_div((dxy[2,2]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
drpvert=old_div((dxy[0,2]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
drhvert=old_div((dxy[0,1]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
dhpvert=old_div((dxy[1,2]*rrange*rho).mean(axis=0),(rrange*rho).mean(axis=0))
dvertot=drrvert+dhhvert+dppvert
clf()
plot(cos(th), old_div(drrvert,dvertot), color='k')
plot(cos(th), old_div(dhhvert,dvertot), color='g')
plot(cos(th), old_div(dppvert,dvertot), color='r')
plot(cos(th), old_div(drpvert,dvertot), color='r', linestyle='dotted')
plot(cos(th), old_div(drhvert,dvertot), color='k', linestyle='dotted')
plot(cos(th), old_div(dhpvert,dvertot), color='orange', linestyle='dotted')
xlabel(r'$\cos \theta$')
ylabel(r'$\Delta_{ik} / \Delta_{\rm tot}$')
savefig(dire+'/dmatrix_thslice.eps')
close('all')
# reading R\Theta file in ascii ; plotting the results of framerip
def ascframe(prefix='dumps/dump000', xmax=40.):
rfile=prefix+'_r.dat'
hfile=prefix+'_h.dat'
rhofile=prefix+'_rho.dat'
pfile=prefix+'_p.dat'
pmfile=prefix+'_pm.dat'
uufile=prefix+'_uu.dat'
udfile=prefix+'_ud.dat'
bfile=prefix+'_b.dat'
orifile=prefix+'_ori.dat'
nr, nh, nphi, a, t=dinforead(prefix)
# radial mesh:
fr=open(rfile, 'r')
s=str.split(str.strip(fr.readline()))
r=[]
while(s):
r.append(s[0])
s=str.split(str.strip(fr.readline()))
fr.close()
r=asarray(r, dtype=double)
nr=size(r)
# polar angle mesh:
fh=open(hfile, 'r')
s=str.split(str.strip(fh.readline()))
th=[]
while(s):
th.append(s[0])
s=str.split(str.strip(fh.readline()))
fh.close()
th=asarray(th, dtype=double)
nh=size(th)
# 2d-grid (order??)
h2,r2=meshgrid(th,r)
print(shape(r2))
print(nr, nh)
# density:
frho=open(rhofile, 'r')
s=str.split(str.strip(frho.readline()))
rho=[]
while(s):
rho.append(s[0])
s=str.split(str.strip(frho.readline()))
frho.close()
rho=asarray(rho, dtype=double)
rho=reshape(rho, [nr, nh])
# pressure:
fp=open(pfile, 'r') ; fpm=open(pmfile, 'r')
s=str.split(str.strip(fp.readline()))
sm=str.split(str.strip(fpm.readline()))
p=[] ; pm=[]
while(s):
p.append(s[0]) ; pm.append(sm[0])
s=str.split(str.strip(fp.readline()))
sm=str.split(str.strip(fpm.readline()))
fp.close() ; fpm.close()
p=asarray(p, dtype=double) ; pm=asarray(pm, dtype=double)
p=reshape(p, [nr, nh]) ; pm=reshape(pm, [nr, nh])
# velocity field:
fuu=open(uufile, 'r')
s=str.split(str.strip(fuu.readline()))
ur=[] ; uh=[] ; omega=[]
while(s):
ur.append(s[1])
uh.append(s[2])
omega.append(old_div(double(s[3]),double(s[0])))
s=str.split(str.strip(fuu.readline()))
fuu.close()
ur=asarray(ur, dtype=double) ; uh=asarray(uh, dtype=double)
ur=reshape(ur, [nr, nh]) ; uh=reshape(uh, [nr, nh])
omega=asarray(omega, dtype=double)
omega=reshape(omega, [nr, nh])
# origin variables:
fori=open(orifile, 'r')
s=str.split(str.strip(fori.readline()))
orr=[] ; orth=[] ; orphi=[]
while(s):
orr.append(s[0]) ; orth.append(s[1]) ; orphi.append(s[2])
s=str.split(str.strip(fori.readline()))
fori.close()
orr=reshape(asarray(orr, dtype=double), [nr, nh])
orth=reshape(asarray(orth, dtype=double), [nr, nh])
orphi=reshape(asarray(orphi, dtype=double), [nr, nh])
# magnetic field (the last component is A_\phi)
fb=open(bfile, 'r')
s=str.split(str.strip(fb.readline()))
aphi=[]
while(s):
aphi.append(s[3])
s=str.split(str.strip(fb.readline()))
fb.close()
aphi=reshape(asarray(aphi, dtype=double), [nr, nh])
print("size(aphi) = "+str(shape(aphi)))
rhor=1.+sqrt(1.-a**2)
cmap = plt.get_cmap('jet')
ono=30
lmin=-5.
lmax=1.
lrholevs=(lmax-lmin)*arange(ono)/double(ono)+lmin
norm = BoundaryNorm(lrholevs, ncolors=cmap.N, clip=True)
x=r2*sin(h2) ; y=r2*cos(h2)
clf()
fig=figure()
contourf(x, y, log10(rho+1e-3),levels=lrholevs,norm=norm,cmap=cmap)
contour(x, y, aphi, colors='k')
xlim(0.,xmax)
ylim(-xmax/4.,xmax/2.)
bhole(rhor)
# need to put time in dinfo!
title('t='+str(t)+' ('+prefix+')')
savefig(prefix+'_rho.eps')
savefig(prefix+'_rho.png')
close()
nxx=10
rlevs=xmax*np.arange(nxx)/np.double(nxx) ; thlevs=np.pi*np.arange(nxx)/np.double(nxx)
clf()
contourf(x, y, orr,cmap=cmap, levels=rlevs)
colorbar()
contour(x, y, r2, colors='w', levels=rlevs)
contour(x, y, h2, colors='w', levels=thlevs)
contour(x, y, orr, colors='k', levels=rlevs)
contour(x, y, orth, colors='k', levels=thlevs)
plt.xlim(0., xmax) ; plt.ylim(-xmax/4., xmax/2.)
plt.savefig(prefix+"_ori.png")
close()
lmin=-2.
lmax=5.
lbetalevs=(lmax-lmin)*arange(ono)/double(ono)+lmin
norm = BoundaryNorm(lbetalevs, ncolors=cmap.N, clip=True)
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), log10(p/pm),levels=lbetalevs,norm=norm,cmap=cmap)
colorbar()
contour(r2*sin(h2), r2*cos(h2), aphi, colors='k')
xlim(0.,xmax)
ylim(-xmax/2.,xmax/2.)
bhole(rhor)
# need to put time in dinfo!
title('t='+str(t)+' ('+prefix+')')
savefig(prefix+'_beta.eps')
savefig(prefix+'_beta.png')
close()
vlevs=(arange(ono)/double(ono)*2.-1.)*0.1
wv=where((r2<10.)&(r2>5.)&(fabs(cos(h2))<0.25))
# vlevs[0]=ur[wv].min()*1.5
# vlevs[ono-1]=ur[wv].max()*1.5
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), ur,levels=vlevs,norm=norm)
colorbar()
contour(r2*sin(h2), r2*cos(h2), ur,levels=[0.], color='w', linestyles='dotted')
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3),levels=lrholevs, colors='w')
xlim(0.,xmax)
ylim(-xmax/2.,xmax/2.)
bhole(rhor)
title('t='+str(t))
savefig(prefix+'_ur.eps')
savefig(prefix+'_ur.png')
close()
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), omega,levels=vlevs,norm=norm)
colorbar()
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3),levels=lrholevs, colors='w')
xlim(0.,xmax)
ylim(-xmax/2.,xmax/2.)
bhole(rhor)
title('t='+str(t))
savefig(prefix+'_o.eps')
savefig(prefix+'_o.png')
close()
nx=20 ; ny=20
xmin=0. ; ymin=-xmax/4. ; ymax=xmax/2.
xflow=(xmax-xmin)*(arange(nx)+0.5)/double(nx)+xmin ; yflow=(ymax-ymin)*(arange(ny)+0.5)/double(ny)+ymin
x2,y2=meshgrid(xflow, yflow)
xgrid=(r2*sin(h2)).flatten() ; ygrid=(r2*cos(h2)).flatten()
vxflow=(ur*sin(h2)+uh*cos(h2)).flatten()
vyflow=(-uh*sin(h2)+ur*cos(h2)).flatten()
vx=griddata(list(zip(xgrid, ygrid)),vxflow, (x2,y2),method='nearest')
vy=griddata(list(zip(xgrid, ygrid)),vyflow, (x2,y2),method='nearest')
vmin=1e-8 # sqrt((vx**2+vy**2)).min()*9.
vmax=1.0 # sqrt((vx**2+vy**2)).max()*1.1
vlevs=log10((old_div(vmax,vmin))**(old_div(arange(20),double(19)))*vmin)
vlevs[0]=-30.
norm = BoundaryNorm(vlevs, ncolors=cmap.N, clip=True)
clf()
fig=figure()
contourf(r2*sin(h2), r2*cos(h2), log10(sqrt(ur**2+uh**2)),levels=vlevs,norm=norm)
colorbar()
title('t='+str(t))
contour(r2*sin(h2), r2*cos(h2), log10(rho+1e-3),levels=lrholevs, colors='w')
streamplot(xflow, yflow, vx, vy,color='k')
xlim(xmin, xmax)
ylim(ymin, ymax)
xlabel(r'$\varpi$')
ylabel(r'$z$')
bhole(rhor)
plot([arms(a), arms(a)], [-1., 1.], color='w') #, linestyle='dotted')
fig.set_size_inches(10, 6)
savefig(prefix+'_stream.eps')
savefig(prefix+'_stream.png')
close()
# reading R\Phi file in ascii
def eqframe(prefix, xmax=40.):
rfile=prefix+'_eq_r.dat'
phifile=prefix+'_eq_phi.dat'
rhofile=prefix+'_eq_rho.dat'
pfile=prefix+'_eq_p.dat'
pmfile=prefix+'_eq_pm.dat'
uufile=prefix+'_eq_uu.dat'
udfile=prefix+'_eq_ud.dat'
nr, nh, nphi, a, t=dinforead(prefix)
# radial mesh:
fr=open(rfile, 'r')
s=str.split(str.strip(fr.readline()))
r=[]
while(s):
r.append(s[0])
s=str.split(str.strip(fr.readline()))
fr.close()
r=asarray(r, dtype=double)
nr=size(r)
# azimuthal angle mesh:
fh=open(phifile, 'r')
s=str.split(str.strip(fh.readline()))
phi=[]
while(s):
phi.append(s[0])
s=str.split(str.strip(fh.readline()))
fh.close()
phi=asarray(phi, dtype=double)
# nh=size(phi)
# 2d-grid (order??)
h2,r2=meshgrid(phi,r)
print(shape(r2))
print(nr, nphi)
# density:
frho=open(rhofile, 'r')
s=str.split(str.strip(frho.readline()))
rho=[]
while(s):
rho.append(s[0])
s=str.split(str.strip(frho.readline()))
frho.close()
rho=asarray(rho, dtype=double)
# print shape(rho)
rho=reshape(rho, [nr, nphi])
# pressure(s):
fp=open(pfile, 'r') ; fpm=open(pmfile, 'r')
s=str.split(str.strip(fp.readline())) ; sm=str.split(str.strip(fpm.readline()))
p=[] ; pm=[]
while(s):
p.append(s[0]) ; pm.append(sm[0])
s=str.split(str.strip(fp.readline())) ; sm=str.split(str.strip(fpm.readline()))