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plot_PJ.py
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plot_PJ.py
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'''
Created on Jul 02, 2012
@author: mkraus
'''
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import cm, colors, gridspec
from matplotlib.ticker import MultipleLocator, FormatStrFormatter, ScalarFormatter
class PlotMHD2D(object):
'''
classdocs
'''
def __init__(self, diagnostics, nTime=0, nPlot=1):
'''
Constructor
'''
self.nrows = 2
self.ncols = 4
if nTime > 0 and nTime < diagnostics.nt:
self.nTime = nTime
else:
self.nTime = diagnostics.nt
self.iTime = 0
self.nPlot = nPlot
self.diagnostics = diagnostics
self.E_velocity = np.zeros_like(diagnostics.tGrid)
self.E_magnetic = np.zeros_like(diagnostics.tGrid)
self.energy = np.zeros_like(diagnostics.tGrid)
self.helicity = np.zeros_like(diagnostics.tGrid)
self.x = np.zeros(diagnostics.nx+1)
self.y = np.zeros(diagnostics.ny+1)
self.x[0:-1] = self.diagnostics.xGrid
self.x[ -1] = self.x[-2] + self.diagnostics.hx
self.y[0:-1] = self.diagnostics.yGrid
self.y[ -1] = self.y[-2] + self.diagnostics.hy
self.Bx = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.By = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.Vx = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.Vy = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.P = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.PB = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.J = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.B = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
self.V = np.zeros((diagnostics.nx+1, diagnostics.ny+1))
# self.read_data()
self.update_boundaries()
# set up figure/window size
self.figure = plt.figure(num=None, figsize=(16,9))
# set up plot margins
plt.subplots_adjust(hspace=2.5, wspace=0.25)
# plt.subplots_adjust(hspace=0.2, wspace=0.25)
plt.subplots_adjust(left=0.03, right=0.97, top=0.93, bottom=0.05)
# set up plot title
self.title = self.figure.text(0.5, 0.97, 't = 0.0' % (diagnostics.tGrid[self.iTime]), horizontalalignment='center')
# set up tick formatter
majorFormatter = ScalarFormatter(useOffset=False)
## -> limit to 1.1f precision
majorFormatter.set_powerlimits((-1,+1))
majorFormatter.set_scientific(True)
# add data for zero timepoint
self.add_timepoint()
# set up plots
self.axes = {}
self.conts = {}
self.cbars = {}
self.lines = {}
self.vecs = {}
# create subplots
gs = gridspec.GridSpec(20, 5)
self.gs = gs
self.axes["Bx"] = plt.subplot(gs[ 0: 4, 0])
self.axes["By"] = plt.subplot(gs[ 4: 8, 0])
self.axes["Vx"] = plt.subplot(gs[ 8:12, 0])
self.axes["Vy"] = plt.subplot(gs[12:16, 0])
self.axes["P"] = plt.subplot(gs[16:20, 0])
self.axes["PB"] = plt.subplot(gs[ 0:10,1:3])
self.axes["J"] = plt.subplot(gs[10:20,1:3])
self.axes["Emag"] = plt.subplot(gs[ 0: 5,3:5])
self.axes["Evel"] = plt.subplot(gs[ 5:10,3:5])
self.axes["E"] = plt.subplot(gs[10:15,3:5])
self.axes["H"] = plt.subplot(gs[15:20,3:5])
self.axes["Bx"].set_title('$B_{x} (x,y)$')
self.axes["By"].set_title('$B_{y} (x,y)$')
self.axes["Vx"].set_title('$V_{x} (x,y)$')
self.axes["Vy"].set_title('$V_{y} (x,y)$')
self.axes["P" ].set_title('$P (x,y)$')
self.axes["PB"].set_title('$B^{2} (x,y)$')
self.axes["J" ].set_title('$J (x,y)$')
self.conts["Bx"] = self.axes["Bx"].contourf(self.x, self.y, self.Bx.T, self.BxTicks, cmap=cm.jet)
self.cbars["Bx"] = self.figure.colorbar(self.conts["Bx"], ax=self.axes["Bx"], orientation='vertical', ticks=self.BxTicks)#, format='%0.2E'
self.conts["By"] = self.axes["By"].contourf(self.x, self.y, self.By.T, self.ByTicks, cmap=cm.jet)
self.cbars["By"] = self.figure.colorbar(self.conts["By"], ax=self.axes["By"], orientation='vertical', ticks=self.ByTicks)
self.conts["Vx"] = self.axes["Vx"].contourf(self.x, self.y, self.Vx.T, self.VxTicks, cmap=cm.jet)
self.cbars["Vx"] = self.figure.colorbar(self.conts["Vx"], ax=self.axes["Vx"], orientation='vertical', ticks=self.VxTicks)
self.conts["Vy"] = self.axes["Vy"].contourf(self.x, self.y, self.Vy.T, self.VyTicks, cmap=cm.jet)
self.cbars["Vy"] = self.figure.colorbar(self.conts["Vy"], ax=self.axes["Vy"], orientation='vertical', ticks=self.VyTicks)
self.conts["P" ] = self.axes["P"].contourf(self.x, self.y, self.P.T, self.PTicks, cmap=cm.jet)
self.cbars["P" ] = self.figure.colorbar(self.conts["P"], ax=self.axes["P"], orientation='vertical', ticks=self.PTicks)
# self.conts["PB"] = self.axes["PB"].contourf(self.x, self.y, self.PB.T, ticks=self.PBTicks)
# self.cbars["PB"] = self.figure.colorbar(self.conts["PB"], ax=self.axes["PB"], orientation='vertical', ticks=self.PBTicks)
self.conts["PB"] = self.axes["PB"].contourf(self.x, self.y, self.PB.T, 51, norm=self.PBnorm)
# self.cbars["PB"] = self.figure.colorbar(self.conts["PB"], ax=self.axes["PB"], orientation='vertical')
# self.conts["J" ] = self.axes["J"].contourf(self.x, self.y, self.J.T, ticks=self.JTicks)
# self.cbars["J" ] = self.figure.colorbar(self.conts["J"], ax=self.axes["J"], orientation='vertical', ticks=self.JTicks)
self.conts["J" ] = self.axes["J"].contourf(self.x, self.y, self.J.T, 51, norm=self.Jnorm)
# self.cbars["J" ] = self.figure.colorbar(self.conts["J"], ax=self.axes["J"], orientation='vertical')
tStart, tEnd, xStart, xEnd = self.get_timerange()
self.lines["Emag" ], = self.axes["Emag" ].plot(self.diagnostics.tGrid[tStart:tEnd], self.E_magnetic [tStart:tEnd])
self.lines["Evel" ], = self.axes["Evel" ].plot(self.diagnostics.tGrid[tStart:tEnd], self.E_velocity [tStart:tEnd])
self.lines["E" ], = self.axes["E" ].plot(self.diagnostics.tGrid[tStart:tEnd], self.energy [tStart:tEnd])
self.lines["H" ], = self.axes["H" ].plot(self.diagnostics.tGrid[tStart:tEnd], self.helicity [tStart:tEnd])
self.axes["Emag"].set_title('$E_{B} (t)$')
self.axes["Evel"].set_title('$E_{V} (t)$')
if self.diagnostics.plot_energy:
self.axes["E"].set_title('$E (t)$')
else:
self.axes["E"].set_title('$(E-E_0) / E_0 (t)$')
if self.diagnostics.plot_helicity:
self.axes["H"].set_title('$H (t)$')
else:
self.axes["H"].set_title('$(H-H_0) / H_0 (t)$')
self.axes["Emag" ].set_xlim((xStart,xEnd))
self.axes["Evel" ].set_xlim((xStart,xEnd))
self.axes["E" ].set_xlim((xStart,xEnd))
self.axes["H" ].set_xlim((xStart,xEnd))
self.axes["Emag" ].yaxis.set_major_formatter(majorFormatter)
self.axes["Evel" ].yaxis.set_major_formatter(majorFormatter)
self.axes["E" ].yaxis.set_major_formatter(majorFormatter)
self.axes["H" ].yaxis.set_major_formatter(majorFormatter)
# switch off some ticks
plt.setp(self.axes["Bx" ].get_xticklabels(), visible=False)
plt.setp(self.axes["By" ].get_xticklabels(), visible=False)
plt.setp(self.axes["Vx" ].get_xticklabels(), visible=False)
plt.setp(self.axes["Vy" ].get_xticklabels(), visible=False)
plt.setp(self.axes["PB" ].get_xticklabels(), visible=False)
plt.setp(self.axes["Emag" ].get_xticklabels(), visible=False)
plt.setp(self.axes["Evel" ].get_xticklabels(), visible=False)
plt.setp(self.axes["E" ].get_xticklabels(), visible=False)
self.update()
def read_data(self):
self.B [0:-1, 0:-1] = self.diagnostics.B [:,:]
self.B [ -1, 0:-1] = self.diagnostics.B [0,:]
self.B [ :, -1] = self.B[:,0]
self.Bx[0:-1, 0:-1] = self.diagnostics.Bx[:,:]
self.Bx[ -1, 0:-1] = self.diagnostics.Bx[0,:]
self.Bx[ :, -1] = self.Bx[:,0]
self.By[0:-1, 0:-1] = self.diagnostics.By[:,:]
self.By[ -1, 0:-1] = self.diagnostics.By[0,:]
self.By[ :, -1] = self.By[:,0]
self.V [0:-1, 0:-1] = self.diagnostics.V [:,:]
self.V [ -1, 0:-1] = self.diagnostics.V [0,:]
self.V [ :, -1] = self.V[:,0]
self.Vx[0:-1, 0:-1] = self.diagnostics.Vx[:,:]
self.Vx[ -1, 0:-1] = self.diagnostics.Vx[0,:]
self.Vx[ :, -1] = self.Vx[:,0]
self.Vy[0:-1, 0:-1] = self.diagnostics.Vy[:,:]
self.Vy[ -1, 0:-1] = self.diagnostics.Vy[0,:]
self.Vy[ :, -1] = self.Vy[:,0]
self.P[0:-1, 0:-1] = self.diagnostics.P[:,:]
self.P[ -1, 0:-1] = self.diagnostics.P[0,:]
self.P[ :, -1] = self.P[:,0]
self.PB[0:-1, 0:-1] = self.diagnostics.e_magnetic[:,:]
self.PB[ -1, 0:-1] = self.diagnostics.e_magnetic[0,:]
self.PB[ :, -1] = self.PB[:,0]
self.J[0:-1, 0:-1] = self.diagnostics.J[:,:]
self.J[ -1, 0:-1] = self.diagnostics.J[0,:]
self.J[ :, -1] = self.J[:,0]
def update_boundaries(self):
Bmin = min(self.diagnostics.Bx.min(), self.diagnostics.By.min(), -self.diagnostics.Bx.max(), -self.diagnostics.By.max())
Bmax = max(self.diagnostics.Bx.max(), self.diagnostics.By.max(), -self.diagnostics.Bx.min(), -self.diagnostics.By.min())
self.BxTicks = np.linspace(Bmin, Bmax, 11, endpoint=True)
self.ByTicks = np.linspace(Bmin, Bmax, 11, endpoint=True)
# self.BxNorm = colors.Normalize(vmin=Bxmin, vmax=Bxmax)
# self.ByNorm = colors.Normalize(vmin=Bymin, vmax=Bymax)
Vmin = 2. * min(self.diagnostics.Vx.min(), self.diagnostics.Vy.min(), -self.diagnostics.Vx.max(), -self.diagnostics.Vy.max())
Vmax = 2. * max(self.diagnostics.Vx.max(), self.diagnostics.Vy.max(), -self.diagnostics.Vx.min(), -self.diagnostics.Vy.min())
if Vmin == Vmax:
Vmin -= 1.
Vmax += 1.
self.VxTicks = np.linspace(Vmin, Vmax, 11, endpoint=True)
self.VyTicks = np.linspace(Vmin, Vmax, 11, endpoint=True)
Pmin = min(self.diagnostics.P.min(), -self.diagnostics.P.max())
Pmax = max(self.diagnostics.P.max(), -self.diagnostics.P.min())
if Pmin == Pmax:
Pmin -= 1.
Pmax += 1.
self.PTicks = np.linspace(Pmin, Pmax, 11, endpoint=True)
PBmin = min(self.diagnostics.e_magnetic.min(), -self.diagnostics.e_magnetic.max())
PBmax = min(self.diagnostics.e_magnetic.max(), -self.diagnostics.e_magnetic.min())
PBdiff = (PBmax - PBmin)
if PBmin == PBmax:
PBmin -= 1.
PBmax += 1.
# self.PBnorm = colors.Normalize(vmin=PBmin, vmax=PBmax)
self.PBnorm = colors.Normalize(vmin=PBmin - 0.2*PBdiff, vmax=PBmax + 0.2*PBdiff)
self.PBTicks = np.linspace(PBmin - 0.2*PBdiff, PBmax + 0.2*PBdiff, 51, endpoint=True)
Jmin = min(self.diagnostics.J.min(), -self.diagnostics.J.max())
Jmax = min(self.diagnostics.J.max(), -self.diagnostics.J.min())
Jdiff = (Jmax - Jmin)
if Jmin == Jmax:
Jmin -= 1.
Jmax += 1.
# self.Jnorm = colors.Normalize(vmin=Jmin, vmax=Jmax)
self.Jnorm = colors.Normalize(vmin=Jmin - 0.2*Jdiff, vmax=Jmax + 0.2*Jdiff)
self.JTicks = np.linspace(Jmin - 0.2*Jdiff, Jmax + 0.2*Jdiff, 51, endpoint=True)
def update(self, final=False):
if not (self.iTime == 1 or (self.iTime-1) % self.nPlot == 0 or self.iTime-1 == self.nTime):
return
self.read_data()
# self.update_boundaries()
for ckey, cont in self.conts.items():
for coll in cont.collections:
self.axes[ckey].collections.remove(coll)
self.conts["Bx"] = self.axes["Bx"].contourf(self.x, self.y, self.Bx.T, self.BxTicks, cmap=cm.jet, extend='both')
# self.cbars["Bx"] = self.figure.colorbar(self.conts["Bx"], ax=self.axes["Bx"], orientation='vertical', ticks=self.BxTicks)#, format='%0.2E'
self.conts["By"] = self.axes["By"].contourf(self.x, self.y, self.By.T, self.ByTicks, cmap=cm.jet, extend='both')
# self.cbars["By"] = self.figure.colorbar(self.conts["By"], ax=self.axes["By"], orientation='vertical', ticks=self.ByTicks)
self.conts["Vx"] = self.axes["Vx"].contourf(self.x, self.y, self.Vx.T, self.VxTicks, cmap=cm.jet, extend='both')
# self.cbars["Vx"] = self.figure.colorbar(self.conts["Vx"], ax=self.axes["Vx"], orientation='vertical', ticks=self.VxTicks)
self.conts["Vy"] = self.axes["Vy"].contourf(self.x, self.y, self.Vy.T, self.VyTicks, cmap=cm.jet, extend='both')
# self.cbars["Vy"] = self.figure.colorbar(self.conts["Vy"], ax=self.axes["Vy"], orientation='vertical', ticks=self.VyTicks)
# self.conts["P"] = self.axes["P"].contourf(self.x, self.y, self.P.T, self.PTicks, cmap=cm.jet, extend='both')
self.conts["P"] = self.axes["P"].contourf(self.x, self.y, self.P.T, self.PTicks, cmap=cm.jet, extend='both', ticks=self.PTicks)
# self.conts["PB"] = self.axes["PB"].contourf(self.x, self.y, self.PB.T, ticks=self.PBTicks)#, extend='neither')
self.conts["PB"] = self.axes["PB"].contourf(self.x, self.y, self.PB.T, 51, norm=self.PBnorm)#, extend='neither')
# self.cbars["PB"] = self.figure.colorbar(self.conts["PB"], ax=self.axes["PB"], orientation='vertical', ticks=self.PBTicks)
# self.conts["J"] = self.axes["J"].contourf(self.x, self.y, self.J.T, ticks=self.JTicks)#, extend='neither')
self.conts["J"] = self.axes["J"].contourf(self.x, self.y, self.J.T, 51, norm=self.Jnorm)#, extend='neither')
# self.cbars["J"] = self.figure.colorbar(self.conts["J"], ax=self.axes["J"], orientation='vertical', ticks=self.JTicks)
tStart, tEnd, xStart, xEnd = self.get_timerange()
self.lines["Emag"].set_xdata(self.diagnostics.tGrid[tStart:tEnd])
self.lines["Emag"].set_ydata(self.E_magnetic[tStart:tEnd])
self.axes ["Emag"].relim()
self.axes ["Emag"].autoscale_view()
self.axes ["Emag"].set_xlim((xStart,xEnd))
self.lines["Evel"].set_xdata(self.diagnostics.tGrid[tStart:tEnd])
self.lines["Evel"].set_ydata(self.E_velocity[tStart:tEnd])
self.axes ["Evel"].relim()
self.axes ["Evel"].autoscale_view()
self.axes ["Evel"].set_xlim((xStart,xEnd))
self.lines["E"].set_xdata(self.diagnostics.tGrid[tStart:tEnd])
self.lines["E"].set_ydata(self.energy[tStart:tEnd])
self.axes ["E"].relim()
self.axes ["E"].autoscale_view()
self.axes ["E"].set_xlim((xStart,xEnd))
self.lines["H"].set_xdata(self.diagnostics.tGrid[tStart:tEnd])
self.lines["H"].set_ydata(self.helicity[tStart:tEnd])
self.axes ["H"].relim()
self.axes ["H"].autoscale_view()
self.axes ["H"].set_xlim((xStart,xEnd))
plt.draw()
plt.show(block=final)
return self.figure
def add_timepoint(self):
self.E_magnetic [self.iTime] = self.diagnostics.E_magnetic
self.E_velocity [self.iTime] = self.diagnostics.E_velocity
if self.diagnostics.plot_energy:
self.energy [self.iTime] = self.diagnostics.energy
else:
self.energy [self.iTime] = self.diagnostics.E_error
if self.diagnostics.plot_helicity:
self.helicity [self.iTime] = self.diagnostics.helicity
else:
self.helicity [self.iTime] = self.diagnostics.H_error
self.title.set_text('t = %1.2f' % (self.diagnostics.tGrid[self.iTime]))
self.iTime += 1
def get_timerange(self):
tStart = self.iTime - (self.nTime+1)
tEnd = self.iTime
if tStart < 0:
tStart = 0
xStart = self.diagnostics.tGrid[tStart]
xEnd = self.diagnostics.tGrid[tStart+self.nTime]
return tStart, tEnd, xStart, xEnd