[Python/1D] Add premixed counterflow flame configuration
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Ray Speth
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4 changed files with 262 additions and 0 deletions
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"""
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An opposed-flow premixed strained flame
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This script simulates a lean hydrogen-oxygen flame stabilized in a strained
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flowfield, with an opposed flow consisting of equilibrium products.
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"""
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import cantera as ct
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import numpy as np
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import os
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# parameter values
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p = 0.05 * ct.one_atm # pressure
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T_in = 373.0 # inlet temperature
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mdot_reactants = 0.12 # kg/m^2/s
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mdot_products = 0.06 # kg/m^2/s
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rxnmech = 'h2o2.cti' # reaction mechanism file
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comp = 'H2:1.6, O2:1, AR:7' # premixed gas composition
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initial_grid = np.linspace(0.0, 0.2, 12) # m
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tol_ss = [1.0e-7, 1.0e-13] # [rtol atol] for steady-state problem
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tol_ts = [1.0e-7, 1.0e-11] # [rtol atol] for time stepping
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loglevel = 1 # amount of diagnostic output (0 to 5)
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# Grid refinement parameters
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ratio = 3
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slope = 0.1
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curve = 0.2
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prune = 0.02
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# Set up the problem
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gas = ct.Solution(rxnmech)
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# set state to that of the unburned gas at the burner
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gas.TPX = T_in, p, comp
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# Create the flame simulation object
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sim = ct.CounterflowPremixedFlame(gas=gas, grid=initial_grid)
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# set the properties at the inlet
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sim.reactants.mdot = mdot_reactants
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sim.reactants.X = comp
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sim.reactants.T = T_in
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sim.products.mdot = mdot_products
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sim.flame.set_steady_tolerances(default=tol_ss)
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sim.flame.set_transient_tolerances(default=tol_ts)
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sim.set_initial_guess() # assume adiabatic equilibrium products
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sim.show_solution()
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sim.energy_enabled = False
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sim.solve(loglevel, False)
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sim.set_refine_criteria(ratio=ratio, slope=slope, curve=curve, prune=prune)
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sim.energy_enabled = True
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sim.solve(loglevel)
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# write the velocity, temperature, and mole fractions to a CSV file
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sim.write_csv('premixed_counterflow.csv', quiet=False)
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sim.show_stats()
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sim.show_solution()
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@ -496,3 +496,81 @@ class ImpingingJet(FlameBase):
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locs = np.array([0.0, 1.0])
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self.set_profile('u', locs, [u0, 0.0])
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self.set_profile('V', locs, [0.0, 0.0])
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class CounterflowPremixedFlame(FlameBase):
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""" A premixed counterflow flame """
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def __init__(self, gas, grid=None):
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"""
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:param gas:
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`Solution` (using the IdealGas thermodynamic model) used to
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evaluate all gas properties and reaction rates.
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:param grid:
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Array of initial grid points
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A domain of class `AxisymmetricStagnationFlow` named ``flame`` will
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be created to represent the flame. The three domains comprising the
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stack are stored as ``self.reactants``, ``self.flame``, and
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``self.products``.
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"""
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self.reactants = Inlet1D(name='reactants', phase=gas)
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self.reactants.T = gas.T
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self.products = Inlet1D(name='products', phase=gas)
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self.products.T = gas.T
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self.flame = AxisymmetricStagnationFlow(gas, name='flame')
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super(CounterflowPremixedFlame, self).__init__(
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(self.reactants, self.flame, self.products), gas, grid)
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def set_initial_guess(self, equilibrate=True):
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"""
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Set the initial guess for the solution.
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If `equilibrate` is True, then the products composition and temperature
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will be set to the equilibrium state of the reactants mixture.
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"""
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super(CounterflowPremixedFlame, self).set_initial_guess()
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Yu = self.reactants.Y
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Tu = self.reactants.T
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self.gas.TPY = Tu, self.flame.P, Yu
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rhou = self.gas.density
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uu = self.reactants.mdot / rhou
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self.gas.equilibrate('HP')
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Teq = self.gas.T
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Yeq = self.gas.Y
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if equilibrate:
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Tb = Teq
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Yb = Yeq
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self.products.Y = Yb
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self.products.T = Tb
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else:
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Tb = self.products.T
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Yb = self.products.Y
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self.gas.TPY = Tb, self.flame.P, Yb
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rhob = self.gas.density
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ub = self.products.mdot / rhob
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locs = np.array([0.0, 0.4, 0.6, 1.0])
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self.set_profile('T', locs, [Tu, Tu, Teq, Tb])
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for k in range(self.gas.n_species):
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self.set_profile(self.gas.species_name(k), locs,
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[Yu[k], Yu[k], Yeq[k], Yb[k]])
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# estimate strain rate
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self.gas.TPY = Teq, self.flame.P, Yeq
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zz = self.flame.grid
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dz = zz[-1] - zz[0]
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a = (uu + ub)/dz
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# estimate stagnation point
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x0 = rhou*uu * dz / (rhou*uu + rhob*ub)
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self.set_profile('u', [0.0, 1.0], [uu, -ub])
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self.set_profile('V', [0.0, x0/dz, 1.0], [0.0, a, 0.0])
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@ -427,3 +427,54 @@ class TestDiffusionFlame(utilities.CanteraTest):
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bad = utilities.compareProfiles(self.referenceFile, data,
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rtol=1e-2, atol=1e-8, xtol=1e-2)
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self.assertFalse(bad, bad)
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class TestCounterflowPremixedFlame(utilities.CanteraTest):
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referenceFile = '../data/CounterflowPremixedFlame-h2-mix.csv'
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# Note: to re-create the reference file:
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# (1) set PYTHONPATH to build/python2 or build/python3.
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# (2) Start Python in the test/work directory and run:
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# >>> import cantera.test
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# >>> t = cantera.test.test_onedim.TestCounterflowPremixedFlame("test_mixture_averaged")
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# >>> t.test_mixture_averaged(True)
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def test_mixture_averaged(self, saveReference=False):
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T_in = 373.0 # inlet temperature
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comp = 'H2:1.6, O2:1, AR:7' # premixed gas composition
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gas = ct.Solution('h2o2.xml')
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gas.TPX = T_in, 0.05 * ct.one_atm, comp
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initial_grid = np.linspace(0.0, 0.2, 12) # m
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sim = ct.CounterflowPremixedFlame(gas=gas, grid=initial_grid)
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# set the properties at the inlets
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sim.reactants.mdot = 0.12 # kg/m^2/s
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sim.reactants.X = comp
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sim.reactants.T = T_in
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sim.products.mdot = 0.06 # kg/m^2/s
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sim.flame.set_steady_tolerances(default=[1.0e-5, 1.0e-11])
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sim.flame.set_transient_tolerances(default=[1.0e-5, 1.0e-11])
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sim.set_initial_guess() # assume adiabatic equilibrium products
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sim.energy_enabled = False
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sim.solve(loglevel=0, refine_grid=False)
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sim.set_refine_criteria(ratio=3, slope=0.2, curve=0.4, prune=0.02)
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sim.energy_enabled = True
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sim.solve(loglevel=0, refine_grid=True)
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data = np.empty((sim.flame.n_points, gas.n_species + 4))
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data[:,0] = sim.grid
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data[:,1] = sim.u
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data[:,2] = sim.V
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data[:,3] = sim.T
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data[:,4:] = sim.Y.T
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if saveReference:
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np.savetxt(self.referenceFile, data, '%11.6e', ', ')
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else:
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bad = utilities.compareProfiles(self.referenceFile, data,
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rtol=1e-2, atol=1e-8, xtol=1e-2)
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self.assertFalse(bad, bad)
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71
test/data/CounterflowPremixedFlame-h2-mix.csv
Normal file
71
test/data/CounterflowPremixedFlame-h2-mix.csv
Normal file
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@ -0,0 +1,71 @@
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0.000000e+00, 2.239706e+00, 3.830767e-20, 3.730000e+02, 1.024394e-02, 1.283998e-18, 0.000000e+00, 1.016286e-01, 0.000000e+00, 0.000000e+00, 9.879711e-17, 1.653779e-20, 8.881275e-01
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4.545455e-03, 2.232065e+00, 1.680988e+00, 3.730000e+02, 1.024394e-02, 4.410437e-18, 1.170128e-19, 1.016286e-01, 0.000000e+00, 0.000000e+00, 1.575023e-15, 1.899296e-20, 8.881275e-01
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9.090909e-03, 2.209143e+00, 3.361976e+00, 3.730000e+02, 1.024394e-02, 5.210871e-17, 3.136048e-18, 1.016286e-01, 8.934199e-21, 6.632361e-18, 1.822182e-14, 6.418442e-20, 8.881275e-01
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1.363636e-02, 2.170939e+00, 5.042965e+00, 3.730000e+02, 1.024394e-02, 6.509156e-16, 3.553857e-17, 1.016286e-01, 1.930477e-19, 9.942383e-17, 1.993981e-13, 8.011458e-19, 8.881275e-01
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1.818182e-02, 2.117453e+00, 6.723953e+00, 3.730000e+02, 1.024394e-02, 8.115572e-15, 3.785243e-16, 1.016286e-01, 2.119031e-18, 1.336199e-15, 1.984998e-12, 1.255527e-17, 8.881275e-01
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2.045455e-02, 2.084979e+00, 7.564447e+00, 3.730000e+02, 1.024394e-02, 4.378054e-14, 1.752738e-15, 1.016286e-01, 1.027895e-17, 7.549541e-15, 7.505203e-12, 8.258077e-17, 8.881275e-01
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2.272727e-02, 2.048685e+00, 8.404941e+00, 3.730000e+02, 1.024394e-02, 2.120528e-13, 9.348774e-15, 1.016286e-01, 6.018683e-17, 5.099325e-14, 3.414165e-11, 6.539376e-16, 8.881275e-01
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2.500000e-02, 2.008570e+00, 9.245435e+00, 3.730000e+02, 1.024393e-02, 1.013969e-12, 5.073747e-14, 1.016286e-01, 4.366172e-16, 3.505389e-13, 1.590390e-10, 5.233234e-15, 8.881275e-01
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2.727273e-02, 1.964635e+00, 1.008593e+01, 3.730000e+02, 1.024393e-02, 4.824609e-12, 2.727807e-13, 1.016286e-01, 4.327509e-15, 2.380391e-12, 7.194298e-10, 4.105733e-14, 8.881275e-01
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2.954545e-02, 1.916880e+00, 1.092642e+01, 3.730001e+02, 1.024391e-02, 2.285130e-11, 1.443267e-12, 1.016286e-01, 5.311696e-14, 1.583438e-11, 3.035743e-09, 3.109911e-13, 8.881275e-01
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3.068182e-02, 1.891569e+00, 1.134667e+01, 3.730001e+02, 1.024388e-02, 5.692247e-11, 3.856092e-12, 1.016286e-01, 2.715754e-13, 4.997163e-11, 6.322056e-09, 1.060276e-12, 8.881275e-01
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3.181818e-02, 1.865303e+00, 1.176692e+01, 3.730003e+02, 1.024384e-02, 1.385926e-10, 1.117984e-11, 1.016286e-01, 1.430308e-12, 1.755725e-10, 1.431428e-08, 4.093437e-12, 8.881275e-01
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3.295455e-02, 1.838082e+00, 1.218716e+01, 3.730006e+02, 1.024375e-02, 3.348368e-10, 3.315774e-11, 1.016286e-01, 7.578356e-12, 6.295559e-10, 3.338277e-08, 1.606972e-11, 8.881276e-01
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3.409091e-02, 1.809906e+00, 1.260741e+01, 3.730014e+02, 1.024360e-02, 8.056474e-10, 9.824422e-11, 1.016286e-01, 3.914349e-11, 2.233774e-09, 7.759622e-08, 6.162682e-11, 8.881277e-01
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3.522727e-02, 1.780776e+00, 1.302766e+01, 3.730033e+02, 1.024331e-02, 1.931804e-09, 2.877819e-10, 1.016286e-01, 1.912371e-10, 7.740242e-09, 1.751583e-07, 2.258884e-10, 8.881279e-01
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3.579545e-02, 1.765855e+00, 1.323778e+01, 3.730051e+02, 1.024308e-02, 3.078894e-09, 5.137883e-10, 1.016286e-01, 4.572239e-10, 1.526139e-08, 2.606987e-07, 4.525480e-10, 8.881281e-01
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3.636364e-02, 1.750698e+00, 1.344791e+01, 3.730082e+02, 1.024275e-02, 4.904789e-09, 9.458724e-10, 1.016285e-01, 1.110435e-09, 3.151096e-08, 3.964115e-07, 9.582057e-10, 8.881283e-01
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3.693182e-02, 1.735310e+00, 1.365804e+01, 3.730135e+02, 1.024229e-02, 7.803947e-09, 1.764340e-09, 1.016284e-01, 2.712385e-09, 6.619679e-08, 6.103851e-07, 2.074401e-09, 8.881286e-01
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3.750000e-02, 1.719694e+00, 1.386817e+01, 3.730224e+02, 1.024164e-02, 1.239363e-08, 3.298050e-09, 1.016282e-01, 6.626320e-09, 1.391655e-07, 9.454891e-07, 4.498909e-09, 8.881290e-01
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3.863636e-02, 1.687810e+00, 1.428845e+01, 3.730586e+02, 1.023955e-02, 2.951741e-08, 1.027612e-08, 1.016273e-01, 3.125428e-08, 5.186338e-07, 2.176080e-06, 1.753154e-08, 8.881304e-01
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3.920455e-02, 1.671570e+00, 1.449861e+01, 3.730936e+02, 1.023789e-02, 4.648003e-08, 1.767658e-08, 1.016265e-01, 6.697868e-08, 9.624772e-07, 3.110204e-06, 3.142995e-08, 8.881314e-01
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3.977273e-02, 1.655177e+00, 1.470879e+01, 3.731514e+02, 1.023560e-02, 7.293899e-08, 3.049570e-08, 1.016252e-01, 1.410922e-07, 1.808082e-06, 4.378826e-06, 5.603954e-08, 8.881327e-01
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4.034091e-02, 1.638684e+00, 1.491901e+01, 3.732460e+02, 1.023243e-02, 1.140140e-07, 5.213087e-08, 1.016231e-01, 2.879960e-07, 3.377375e-06, 6.009563e-06, 9.731709e-08, 8.881346e-01
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4.090909e-02, 1.622179e+00, 1.512930e+01, 3.733993e+02, 1.022809e-02, 1.774884e-07, 8.758890e-08, 1.016198e-01, 5.651175e-07, 6.205582e-06, 7.964852e-06, 1.622073e-07, 8.881369e-01
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4.147727e-02, 1.605791e+00, 1.533970e+01, 3.736441e+02, 1.022216e-02, 2.752022e-07, 1.438602e-07, 1.016148e-01, 1.060604e-06, 1.114419e-05, 1.011349e-05, 2.569936e-07, 8.881400e-01
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4.204545e-02, 1.589707e+00, 1.555027e+01, 3.740289e+02, 1.021412e-02, 4.251914e-07, 2.301606e-07, 1.016072e-01, 1.898636e-06, 1.949017e-05, 1.223247e-05, 3.850875e-07, 8.881440e-01
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4.261364e-02, 1.574193e+00, 1.576110e+01, 3.746226e+02, 1.020329e-02, 6.549077e-07, 3.579551e-07, 1.015956e-01, 3.241118e-06, 3.314448e-05, 1.406180e-05, 5.457829e-07, 8.881491e-01
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4.318182e-02, 1.559617e+00, 1.597234e+01, 3.755211e+02, 1.018882e-02, 1.005880e-06, 5.407478e-07, 1.015779e-01, 5.288132e-06, 5.481372e-05, 1.540286e-05, 7.357317e-07, 8.881554e-01
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4.375000e-02, 1.546466e+00, 1.618416e+01, 3.768545e+02, 1.016964e-02, 1.540210e-06, 7.937436e-07, 1.015510e-01, 8.282391e-06, 8.828001e-05, 1.620201e-05, 9.531924e-07, 8.881633e-01
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4.431818e-02, 1.535380e+00, 1.639685e+01, 3.787948e+02, 1.014445e-02, 2.349345e-06, 1.133549e-06, 1.015102e-01, 1.251709e-05, 1.387523e-04, 1.655055e-05, 1.202628e-06, 8.881729e-01
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4.488636e-02, 1.527166e+00, 1.661075e+01, 3.815630e+02, 1.011169e-02, 3.565617e-06, 1.577898e-06, 1.014493e-01, 1.832941e-05, 2.132606e-04, 1.659862e-05, 1.496440e-06, 8.881842e-01
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4.545455e-02, 1.522791e+00, 1.682630e+01, 3.854299e+02, 1.006957e-02, 5.376496e-06, 2.144992e-06, 1.013602e-01, 2.604876e-05, 3.209808e-04, 1.646129e-05, 1.851654e-06, 8.881974e-01
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4.602273e-02, 1.523342e+00, 1.704406e+01, 3.907082e+02, 1.001607e-02, 8.040104e-06, 2.851788e-06, 1.012331e-01, 3.588274e-05, 4.733229e-04, 1.618629e-05, 2.280348e-06, 8.882123e-01
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4.659091e-02, 1.529939e+00, 1.726465e+01, 3.977314e+02, 9.949037e-03, 1.189844e-05, 3.711107e-06, 1.010568e-01, 4.776153e-05, 6.836128e-04, 1.577602e-05, 2.774335e-06, 8.882287e-01
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4.715909e-02, 1.543601e+00, 1.748875e+01, 4.068207e+02, 9.866277e-03, 1.738296e-05, 4.728775e-06, 1.008195e-01, 6.119963e-05, 9.662513e-04, 1.522049e-05, 3.289683e-06, 8.882461e-01
|
||||
4.772727e-02, 1.565101e+00, 1.771701e+01, 4.182454e+02, 9.765659e-03, 2.500700e-05, 5.904099e-06, 1.005106e-01, 7.525530e-05, 1.335400e-03, 1.451852e-05, 3.742850e-06, 8.882639e-01
|
||||
4.829545e-02, 1.594845e+00, 1.795005e+01, 4.321858e+02, 9.645221e-03, 3.534262e-05, 7.238465e-06, 1.001212e-01, 8.865681e-05, 1.803512e-03, 1.368690e-05, 4.029038e-06, 8.882811e-01
|
||||
4.886364e-02, 1.632812e+00, 1.818839e+01, 4.487126e+02, 9.503229e-03, 4.898547e-05, 8.757299e-06, 9.964570e-02, 1.000935e-04, 2.380272e-03, 1.276033e-05, 4.060002e-06, 8.882961e-01
|
||||
4.943182e-02, 1.678579e+00, 1.843239e+01, 4.677870e+02, 9.338172e-03, 6.651732e-05, 1.055326e-05, 9.908098e-02, 1.085697e-04, 3.072623e-03, 1.178463e-05, 3.802341e-06, 8.883070e-01
|
||||
5.000000e-02, 1.731426e+00, 1.868233e+01, 4.892823e+02, 9.148695e-03, 8.847680e-05, 1.286730e-05, 9.842533e-02, 1.136604e-04, 3.886296e-03, 1.080670e-05, 3.294397e-06, 8.883106e-01
|
||||
5.056818e-02, 1.790467e+00, 1.893835e+01, 5.130171e+02, 8.933502e-03, 1.153442e-04, 1.623869e-05, 9.767547e-02, 1.155644e-04, 4.828865e-03, 9.866206e-06, 2.633006e-06, 8.883025e-01
|
||||
5.113636e-02, 1.854781e+00, 1.920054e+01, 5.387875e+02, 8.691268e-03, 1.475384e-04, 2.176132e-05, 9.682246e-02, 1.149803e-04, 5.913940e-03, 8.991261e-06, 1.938440e-06, 8.882771e-01
|
||||
5.170455e-02, 1.923509e+00, 1.946899e+01, 5.663927e+02, 8.420584e-03, 1.854186e-04, 3.146553e-05, 9.584642e-02, 1.129334e-04, 7.165902e-03, 8.198245e-06, 1.315204e-06, 8.882278e-01
|
||||
5.227273e-02, 1.995901e+00, 1.974385e+01, 5.956467e+02, 8.119984e-03, 2.292834e-04, 4.880213e-05, 9.471017e-02, 1.106870e-04, 8.624510e-03, 7.493750e-06, 8.255231e-07, 8.881482e-01
|
||||
5.340909e-02, 2.149530e+00, 2.031309e+01, 6.584790e+02, 7.444662e-03, 3.324416e-04, 1.199876e-04, 9.186322e-02, 1.104581e-04, 1.222031e-02, 6.325468e-06, 2.961417e-07, 8.879023e-01
|
||||
5.454545e-02, 2.308876e+00, 2.090232e+01, 7.253015e+02, 6.654426e-03, 4.582037e-04, 2.750036e-04, 8.789136e-02, 1.299470e-04, 1.702876e-02, 5.442319e-06, 1.090941e-07, 8.875567e-01
|
||||
5.568182e-02, 2.470025e+00, 2.150922e+01, 7.947103e+02, 5.758986e-03, 6.032044e-04, 5.478329e-04, 8.234182e-02, 1.863507e-04, 2.337106e-02, 4.751226e-06, 6.707596e-08, 8.871859e-01
|
||||
5.681818e-02, 2.626944e+00, 2.213110e+01, 8.644763e+02, 4.797818e-03, 7.580874e-04, 9.440632e-04, 7.508989e-02, 2.936453e-04, 3.120087e-02, 4.159709e-06, 7.342125e-08, 8.869114e-01
|
||||
5.795455e-02, 2.771275e+00, 2.276512e+01, 9.315679e+02, 3.844471e-03, 9.072242e-04, 1.430392e-03, 6.664544e-02, 4.514138e-04, 3.988503e-02, 3.607635e-06, 9.571497e-08, 8.868323e-01
|
||||
5.909091e-02, 2.894663e+00, 2.340867e+01, 9.929688e+02, 2.986431e-03, 1.033371e-03, 1.945016e-03, 5.806136e-02, 6.399603e-04, 4.837376e-02, 3.087801e-06, 1.211896e-07, 8.869569e-01
|
||||
6.022727e-02, 2.991929e+00, 2.405963e+01, 1.046738e+03, 2.288793e-03, 1.124969e-03, 2.424934e-03, 5.042196e-02, 8.316664e-04, 5.569958e-02, 2.628380e-06, 1.429786e-07, 8.872053e-01
|
||||
6.136364e-02, 3.062356e+00, 2.471649e+01, 1.092452e+03, 1.771237e-03, 1.180030e-03, 2.829686e-03, 4.436696e-02, 1.007821e-03, 6.136965e-02, 2.255777e-06, 1.590520e-07, 8.874722e-01
|
||||
6.363636e-02, 3.132017e+00, 2.604890e+01, 1.162139e+03, 1.216535e-03, 1.199164e-03, 3.363280e-03, 3.736538e-02, 1.294801e-03, 6.776991e-02, 1.784561e-06, 1.790177e-07, 8.877890e-01
|
||||
6.818182e-02, 3.111370e+00, 2.877684e+01, 1.254641e+03, 9.800926e-04, 1.089375e-03, 3.690067e-03, 3.296239e-02, 1.715254e-03, 7.160443e-02, 1.387981e-06, 1.981085e-07, 8.879568e-01
|
||||
7.272727e-02, 2.993733e+00, 3.156866e+01, 1.324592e+03, 9.549913e-04, 9.641814e-04, 3.703905e-03, 3.131432e-02, 2.055455e-03, 7.301682e-02, 1.188674e-06, 1.951728e-07, 8.879889e-01
|
||||
8.181818e-02, 2.569462e+00, 3.740284e+01, 1.431192e+03, 9.422106e-04, 7.623320e-04, 3.492864e-03, 2.947226e-02, 2.563872e-03, 7.477488e-02, 9.598140e-07, 1.543097e-07, 8.879905e-01
|
||||
9.090909e-02, 1.975735e+00, 4.359425e+01, 1.530054e+03, 9.023709e-04, 5.924692e-04, 3.165220e-03, 2.788296e-02, 2.994404e-03, 7.650010e-02, 7.910978e-07, 1.034877e-07, 8.879616e-01
|
||||
1.000000e-01, 1.235525e+00, 5.015433e+01, 1.645905e+03, 8.425032e-04, 4.383452e-04, 2.752820e-03, 2.606349e-02, 3.444283e-03, 7.850959e-02, 6.264274e-07, 5.896770e-08, 8.879483e-01
|
||||
1.090909e-01, 3.376490e-01, 5.602931e+01, 1.795344e+03, 7.625503e-04, 2.996901e-04, 2.245758e-03, 2.365406e-02, 3.921275e-03, 8.102933e-02, 4.568992e-07, 2.882526e-08, 8.880869e-01
|
||||
1.181818e-01, -7.040644e-01, 5.711180e+01, 1.940089e+03, 6.439561e-04, 1.876396e-04, 1.667093e-03, 2.111366e-02, 4.103014e-03, 8.398935e-02, 3.519269e-07, 1.577076e-08, 8.882949e-01
|
||||
1.227273e-01, -1.237485e+00, 5.555543e+01, 1.986781e+03, 5.688921e-04, 1.448586e-04, 1.397558e-03, 2.025293e-02, 3.986022e-03, 8.535357e-02, 3.369177e-07, 1.338653e-08, 8.882958e-01
|
||||
1.272727e-01, -1.751261e+00, 5.310435e+01, 2.017118e+03, 4.913060e-04, 1.106683e-04, 1.162949e-03, 1.971983e-02, 3.778943e-03, 8.649010e-02, 3.349049e-07, 1.221638e-08, 8.882459e-01
|
||||
1.318182e-01, -2.234458e+00, 5.015567e+01, 2.034825e+03, 4.175097e-04, 8.415625e-05, 9.669757e-04, 1.947238e-02, 3.526391e-03, 8.735303e-02, 3.380617e-07, 1.167585e-08, 8.881792e-01
|
||||
1.363636e-01, -2.683220e+00, 4.696279e+01, 2.044243e+03, 3.522443e-04, 6.418490e-05, 8.079498e-04, 1.942756e-02, 3.265329e-03, 8.795938e-02, 3.425213e-07, 1.144841e-08, 8.881230e-01
|
||||
1.454545e-01, -3.479656e+00, 4.032791e+01, 2.051495e+03, 2.528431e-04, 3.866080e-05, 5.800924e-04, 1.960846e-02, 2.797705e-03, 8.865093e-02, 3.522782e-07, 1.143144e-08, 8.880709e-01
|
||||
1.545455e-01, -4.149531e+00, 3.361843e+01, 2.053659e+03, 1.918796e-04, 2.555810e-05, 4.436523e-04, 1.984200e-02, 2.456337e-03, 8.896810e-02, 3.630244e-07, 1.171960e-08, 8.880721e-01
|
||||
1.636364e-01, -4.696961e+00, 2.689593e+01, 2.054342e+03, 1.587197e-04, 1.927596e-05, 3.699367e-04, 2.001150e-02, 2.246460e-03, 8.910347e-02, 3.721669e-07, 1.206902e-08, 8.880903e-01
|
||||
1.727273e-01, -5.123070e+00, 2.017192e+01, 2.054586e+03, 1.422345e-04, 1.639130e-05, 3.334318e-04, 2.010817e-02, 2.134157e-03, 8.915845e-02, 3.781199e-07, 1.232747e-08, 8.881068e-01
|
||||
1.818182e-01, -5.427746e+00, 1.344791e+01, 2.054682e+03, 1.345430e-04, 1.510285e-05, 3.164500e-04, 2.015642e-02, 2.079708e-03, 8.918021e-02, 3.813165e-07, 1.247410e-08, 8.881172e-01
|
||||
1.909091e-01, -5.610664e+00, 6.723948e+00, 2.054723e+03, 1.311129e-04, 1.453849e-05, 3.088055e-04, 2.017908e-02, 2.054663e-03, 8.918876e-02, 3.828693e-07, 1.254685e-08, 8.881226e-01
|
||||
2.000000e-01, -5.671612e+00, 0.000000e+00, 2.054755e+03, 1.296169e-04, 1.435552e-05, 3.044406e-04, 2.019301e-02, 2.040182e-03, 8.919298e-02, 3.838667e-07, 1.259468e-08, 8.881250e-01
|
||||
|
Loading…
Add table
Reference in a new issue