Commit of upper level dir.

This commit is contained in:
Harry Moffat 2009-03-24 19:52:14 +00:00
parent 371d130a70
commit 53b937679d
9 changed files with 20 additions and 824 deletions

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@ -1,17 +1,33 @@
#!/bin/sh
PY_DEMOS = flame1.py flame2.py stflame1.py npflame1.py free_h2_air.py \
adiabatic_flame.py fixed_T_flame.py
PY_DEMOS = flame1 flame2 stflame1 npflame1 free_h2_air \
adiabatic_flame fixed_T_flame
PYTHON_CMD = @PYTHON_CMD@
all:
@(for py in $(PY_DEMOS) ; do \
echo "running $${py}..."; \
(cd $${py} ; @MAKE@ ) \
done)
run:
@(for py in $(PY_DEMOS) ; do \
echo "running $${py}..."; \
$(PYTHON_CMD) "$${py}"; \
(cd $${py} ; @MAKE@ run ) \
done)
test:
@(for py in $(PY_DEMOS) ; do \
echo "running $${py}..."; \
(cd $${py} ; @MAKE@ test ) \
done)
clean:
rm -f *.log *.csv *.xml
@(for py in $(PY_DEMOS) ; do \
echo "running $${py}..."; \
(cd $${py} ; @MAKE@ clean ) \
done)
# end of file

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#
# ADIABATIC_FLAME - A freely-propagating, premixed methane/air flat
# flame with multicomponent transport properties
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.FreeFlame import FreeFlame
################################################################
#
# parameter values
#
p = OneAtm # pressure
tin = 300.0 # unburned gas temperature
mdot = 0.04 # kg/m^2/s
comp = 'CH4:0.45, O2:1, N2:3.76' # premixed gas composition
initial_grid = [0.0, 0.001, 0.01, 0.02, 0.029, 0.03] # m
tol_ss = [1.0e-5, 1.0e-9] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-5, 1.0e-9] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
gas = GRI30('Mix')
gas.addTransportModel('Multi')
# set its state to that of the unburned gas
gas.setState_TPX(tin, p, comp)
f = FreeFlame(gas = gas, grid = initial_grid, tfix = 600.0)
# set the upstream properties
f.inlet.set(mole_fractions = comp, temperature = tin)
f.set(tol = tol_ss, tol_time = tol_ts)
f.showSolution()
f.set(energy = 'off')
f.setRefineCriteria(ratio = 10.0, slope = 1, curve = 1)
f.setMaxJacAge(50, 50)
f.setTimeStep(1.0e-5, [1, 2, 5, 10, 20])
f.solve(loglevel, refine_grid)
f.save('ch4_adiabatic.xml','no_energy',
'solution with the energy equation disabled')
f.set(energy = 'on')
f.setRefineCriteria(ratio = 3.0, slope = 0.1, curve = 0.2)
f.solve(loglevel, refine_grid)
f.save('ch4_adiabatic.xml','energy',
'solution with the energy equation enabled')
print 'mixture-averaged flamespeed = ',f.u()[0]
gas.switchTransportModel('Multi')
f.flame.setTransportModel(gas)
f.solve(loglevel, refine_grid)
f.save('ch4_adiabatic.xml','energy_multi',
'solution with the energy equation enabled and multicomponent transport')
# write the velocity, temperature, density, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('adiabatic_flame.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)', 'rho (kg/m3)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n], gas.density()]
+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to adiabatic_flame.csv'
print 'multicomponent flamespeed = ',u[0]
f.showStats()

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#
# FIXED_T_FLAME - A burner-stabilized, premixed methane/air flat flame
# with multicomponent transport properties and a specified
# temperature profile
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.BurnerFlame import BurnerFlame
from string import atof
# read temperature vs. position data from a file.
# The file is assumed to have one z, T pair per line, separated by a comma.
def getTempData(filename):
# open the file containing the temperature data for reading
f = open(filename)
z = []
t = []
lines = f.readlines()
# check for unix/Windows/Mac line ending problems
if len(lines) == 1:
print 'Warning: only one line found. Possible text file line-ending'
print 'problem?'
print 'The one line found is: ',lines[0]
for line in lines:
if line[0] == '#': # use '#' as the comment character
pass
else:
try:
zval, tval = line.split(',')
z.append(atof(zval))
t.append(atof(tval))
except:
pass
print 'read',len(z),'temperature values.'
f.close()
# convert z values into non-dimensional relative positions.
n = len(z)
zmax = z[n-1]
for i in range(n):
z[i] = z[i]/zmax
return [z,t]
################################################################
#
# parameter values
#
p = OneAtm # pressure
tburner = 373.7 # burner temperature
mdot = 0.04 # kg/m^2/s
comp = 'CH4:0.65, O2:1, N2:3.76' # premixed gas composition
# The solution domain is chosen to be 1 cm, and a point very near the
# downstream boundary is added to help with the zero-gradient boundary
# condition at this boundary.
initial_grid = [0.0, 0.0025, 0.005, 0.0075, 0.0099, 0.01] # m
tol_ss = [1.0e-5, 1.0e-9] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-5, 1.0e-4] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic, and
# transport properties. It is created with two transport managers, to
# enable switching from mixture-averaged to multicomponent transport
# on the last solution.
gas = GRI30('Mix')
gas.addTransportModel('Multi')
# set its state to that of the unburned gas at the burner
gas.setState_TPX(tburner, p, comp)
# create the BurnerFlame object.
f = BurnerFlame(gas = gas, grid = initial_grid)
# set the properties at the burner
f.burner.set(massflux = mdot, mole_fractions = comp, temperature = tburner)
# read in the fixed temperature profile
[zloc, tvalues] = getTempData('tdata.dat')
# set the temperature profile to the values read in
f.flame.setFixedTempProfile(zloc, tvalues)
f.set(tol = tol_ss, tol_time = tol_ts)
# show the initial estimate for the solution
f.showSolution()
# don't solve the energy equation
f.set(energy = 'off')
# first solve the flame with mixture-averaged transport properties
f.setRefineCriteria(ratio = 3.0, slope = 0.3, curve = 1)
f.setMaxJacAge(50, 50)
f.setTimeStep(1.0e-5, [1, 2, 5, 10, 20])
f.solve(loglevel, refine_grid)
f.save('ch4_flame_fixed_T.xml','mixav',
'solution with mixture-averaged transport')
print '\n\n switching to multicomponent transport...\n\n'
gas.switchTransportModel('Multi')
f.flame.setTransportModel(gas)
f.setRefineCriteria(ratio = 3.0, slope = 0.1, curve = 0.2)
f.solve(loglevel, refine_grid)
f.save('ch4_flame_fixed_T.xml','multi',
'solution with multicomponent transport')
# write the velocity, temperature, density, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('flame_fixed_T.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)', 'rho (kg/m3)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n], gas.density()]
+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to flame_fixed_T.csv'
f.showStats()

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#
# FLAME1 - A burner-stabilized flat flame
#
# This script simulates a burner-stablized lean hydrogen-oxygen flame
# at low pressure.
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.BurnerFlame import BurnerFlame
################################################################
#
# parameter values
#
p = 0.05*OneAtm # pressure
tburner = 373.0 # burner temperature
mdot = 0.06 # kg/m^2/s
rxnmech = 'h2o2.cti' # reaction mechanism file
mix = 'ohmech' # gas mixture model
comp = 'H2:1.8, O2:1, AR:7' # premixed gas composition
# The solution domain is chosen to be 50 cm, and a point very near the
# downstream boundary is added to help with the zero-gradient boundary
# condition at this boundary.
initial_grid = [0.0, 0.02, 0.04, 0.06, 0.08, 0.1,
0.15, 0.2, 0.4, 0.49, 0.5] # m
tol_ss = [1.0e-5, 1.0e-13] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-4, 1.0e-9] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic,
# and transport properties
#
gas = IdealGasMix(rxnmech, mix)
# set its state to that of the unburned gas at the burner
gas.set(T = tburner, P = p, X = comp)
f = BurnerFlame(gas = gas, grid = initial_grid)
# set the properties at the burner
f.burner.set(massflux = mdot, mole_fractions = comp, temperature = tburner)
f.set(tol = tol_ss, tol_time = tol_ts)
f.setMaxJacAge(5, 10)
f.set(energy = 'off')
f.init()
f.showSolution()
f.solve(loglevel, refine_grid)
f.setRefineCriteria(ratio = 200.0, slope = 0.05, curve = 0.1)
f.set(energy = 'on')
f.solve(loglevel,refine_grid)
f.save('flame1.xml')
f.showSolution()
# write the velocity, temperature, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('flame1.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)', 'rho (kg/m3)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n], gas.density()]
+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to flame1.csv'
f.showStats()

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#
# FLAME2 - A burner-stabilized, premixed methane/air flat flame
# with multicomponent transport properties
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.BurnerFlame import BurnerFlame
################################################################
#
# parameter values
#
p = OneAtm # pressure
tburner = 373.7 # burner temperature
mdot = 0.04 # kg/m^2/s
comp = 'CH4:0.65, O2:1, N2:3.76' # premixed gas composition
# The solution domain is chosen to be 1 cm, and a point very near the
# downstream boundary is added to help with the zero-gradient boundary
# condition at this boundary.
initial_grid = [0.0, 0.0025, 0.005, 0.0075, 0.0099, 0.01] # m
tol_ss = [1.0e-5, 1.0e-9] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-5, 1.0e-4] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic, and
# transport properties. It is created with two transport managers, to
# enable switching from mixture-averaged to multicomponent transport
# on the last solution.
gas = GRI30('Mix')
gas.addTransportModel('Multi')
# set its state to that of the unburned gas at the burner
gas.setState_TPX(tburner, p, comp)
f = BurnerFlame(gas = gas, grid = initial_grid)
# set the properties at the burner
f.burner.set(massflux = mdot, mole_fractions = comp, temperature = tburner)
f.set(tol = tol_ss, tol_time = tol_ts)
f.showSolution()
f.set(energy = 'off')
f.setRefineCriteria(ratio = 10.0, slope = 1, curve = 1)
f.setMaxJacAge(50, 50)
f.setTimeStep(1.0e-5, [1, 2, 5, 10, 20])
f.solve(loglevel, refine_grid)
f.save('ch4_flame1.xml','no_energy',
'solution with the energy equation disabled')
f.set(energy = 'on')
f.setRefineCriteria(ratio = 3.0, slope = 0.1, curve = 0.2)
f.solve(loglevel, refine_grid)
f.save('ch4_flame1.xml','energy',
'solution with the energy equation enabled')
gas.switchTransportModel('Multi')
f.flame.setTransportModel(gas)
f.solve(loglevel, refine_grid)
f.save('ch4_flame1.xml','energy_multi',
'solution with the energy equation enabled and multicomponent transport')
f.flame.enableSoret()
f.solve(loglevel, refine_grid)
f.save('ch4_flame1.xml','energy_multi_soret',
'solution with the energy equation enabled and multicomponent transport with thermal diffusion')
# write the velocity, temperature, density, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('flame2.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)', 'rho (kg/m3)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n], gas.density()]
+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to flame2.csv'
f.showStats()

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#
# A freely-propagating premixed hydrogen/air flame
#
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.FreeFlame import FreeFlame
################################################################
#
# parameter values
#
p = OneAtm # pressure
tin = 300.0 # unburned gas temperature
rxnmech = 'ohn.cti' # reaction mechanism file
mix = 'gas' # gas mixture model
comp = 'H2:2, O2:1, N2:3.76' # premixed gas composition
# The solution domain is chosen to be 50 cm, and a point very near the
# downstream boundary is added to help with the zero-gradient boundary
# condition at this boundary.
initial_grid = [0.0, 0.001, 0.02, 0.04, 0.07, 0.099, 0.1] # m
tol_ss = [1.0e-5, 1.0e-13] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-4, 1.0e-9] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic,
# and transport properties
#
gas = IdealGasMix(rxnmech, mix)
# set its state to that of the unburned gas at the burner
gas.set(T = tin, P = p, X = comp)
f = FreeFlame(gas = gas, grid = initial_grid)
# set the properties at the inlet
f.inlet.set(mole_fractions = comp, temperature = tin)
f.set(tol = tol_ss, tol_time = tol_ts)
f.setMaxJacAge(5, 10)
f.set(energy = 'off')
#f.init()
f.showSolution()
f.solve(loglevel, refine_grid)
f.setRefineCriteria(ratio = 5.0, slope = 0.05, curve = 0.005, prune = 0.0)
f.set(energy = 'on')
f.solve(loglevel,refine_grid)
f.save('freeflame1.xml')
f.showSolution()
# write the velocity, temperature, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('freeflame1.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)', 'rho (kg/m3)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n], gas.density()]
+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to freeflame1.csv'
print 'flamespeed = ',u[0],'m/s'
f.showStats()

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# NPFLAME1 - A nonpremixed counterflow flame.
#
# This script computes an atmospheric-pressure ethane/air
# counterflow flame using GRI-Mech 3.0.
# Run time on a Mac G4: ~ 5 minutes
#
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.CounterFlame import CounterFlame
from Cantera.num import array
##################################################################
# parameter values
#
# These are grouped here to simplify changing flame conditions
p = OneAtm # pressure
tin_f = 300.0 # fuel inlet temperature
tin_o = 300.0 # oxidizer inlet temperature
mdot_o = 0.72 # kg/m^2/s
mdot_f = 0.24 # kg/m^2/s
comp_o = 'O2:0.21, N2:0.78, AR:0.01'; # air composition
comp_f = 'C2H6:1'; # fuel composition
# distance between inlets is 2 cm; start with an evenly-spaced 6-point
# grid
initial_grid = 0.02*array([0.0, 0.2, 0.4, 0.6, 0.8, 1.0],'d')
tol_ss = [1.0e-5, 1.0e-9] # [rtol, atol] for steady-state
# problem
tol_ts = [1.0e-3, 1.0e-9] # [rtol, atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic,
# and transport properties
#
# Here we use GRI-Mech 3.0 with mixture-averaged transport
# properties. To use your own mechanism, use function
# IdealGasMix('mech.cti') to read a mechanism in Cantera format. If
# you need to convert from Chemkin format, use the ck2cti utility
# program first.
gas = GRI30('Mix')
# create an object representing the counterflow flame configuration,
# which consists of a fuel inlet on the left, the flow in the middle,
# and the oxidizer inlet on the right. Class CounterFlame creates this
# configuration.
f = CounterFlame(gas = gas, grid = initial_grid)
# Set the state of the two inlets
f.fuel_inlet.set(massflux = mdot_f,
mole_fractions = comp_f,
temperature = tin_f)
f.oxidizer_inlet.set(massflux = mdot_o,
mole_fractions = comp_o,
temperature = tin_o)
# set the error tolerances
f.set(tol = tol_ss, tol_time = tol_ts)
# construct the initial solution estimate. To do so, it is necessary
# to specify the fuel species. If a fuel mixture is being used,
# specify a representative species here for the purpose of
# constructing an initial guess.
f.init(fuel = 'C2H6')
# show the starting estimate
f.showSolution()
# First disable the energy equation and solve the problem without
# refining the grid
f.set(energy = 'off')
f.solve(loglevel, 0)
# Now specify grid refinement criteria, turn on the energy equation,
# and solve the problem again. The ratio parameter controls the
# maximum size ratio between adjacent cells; slope and curve should be
# between 0 and 1 and control adding points in regions of high
# gradients and high curvature, respectively. If prune > 0, points
# will be removed if the relative slope and curvature for all
# components fall below the prune level. Set prune < min(slope,
# curve), or to zero to disable removing grid points.
f.setRefineCriteria(ratio = 200.0, slope = 0.1, curve = 0.2, prune = 0.02)
f.set(energy = 'on')
f.solve(1)
# Save the solution
f.save('npflame1.xml')
# write the velocity, temperature, and mole fractions to a CSV file
z = f.flame.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('npflame1.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)']
+ list(gas.speciesNames()))
for n in range(f.flame.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n]]+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to npflame1.csv'
f.showSolution()
f.showStats()

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#
# STFLAME1 - A detached flat flame stabilized at a stagnation point
#
# This script simulates a lean hydrogen-oxygen flame stabilized in
# a strained flowfield at an axisymmetric stagnation point on a
# non-reacting surface. The solution begins with a flame attached
# to the inlet (burner), and the mass flow rate is progressively
# increased, causing the flame to detach and move closer to the
# surface. This example illustrates use of the new 'prune' grid
# refinement parameter, which allows grid points to be removed if
# they are no longer required to resolve the solution. This is
# important here, since the flamefront moves as the mass flowrate
# is increased. Without using 'prune', a large number of grid
# points would be concentrated upsteam of the flame, where the
# flamefront had been previously. (To see this, try setting prune
# to zero.)
from Cantera import *
from Cantera.OneD import *
from Cantera.OneD.StagnationFlow import StagnationFlow
################################################################
#
# parameter values
#
p = 0.05*OneAtm # pressure
tburner = 373.0 # burner temperature
tsurf = 600.0
# each mdot value will be solved to convergence, with grid refinement,
# and then that solution will be used for the next mdot
mdot = [0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12] # kg/m^2/s
rxnmech = 'h2o2.cti' # reaction mechanism file
comp = 'H2:1.8, O2:1, AR:7' # premixed gas composition
# The solution domain is chosen to be 50 cm, and a point very near the
# downstream boundary is added to help with the zero-gradient boundary
# condition at this boundary.
initial_grid = [0.0, 0.02, 0.04, 0.06, 0.08, 0.1,
0.15, 0.2] # m
tol_ss = [1.0e-5, 1.0e-13] # [rtol atol] for steady-state
# problem
tol_ts = [1.0e-4, 1.0e-9] # [rtol atol] for time stepping
loglevel = 1 # amount of diagnostic output (0
# to 5)
refine_grid = 1 # 1 to enable refinement, 0 to
# disable
ratio = 5.0
slope = 0.1
curve = 0.2
prune = 0.05
################ create the gas object ########################
#
# This object will be used to evaluate all thermodynamic, kinetic,
# and transport properties
#
gas = IdealGasMix(rxnmech)
# set its state to that of the unburned gas at the burner
gas.setState_TPX(tburner, p, comp)
# Create the stagnation flow object with a non-reactive surface. (To
# make the surface reactive, supply a surface reaction mechanism. see
# example catcomb.py for how to do this.)
f = StagnationFlow(gas = gas, grid = initial_grid)
# set the properties at the inlet
f.inlet.set(massflux = mdot[0], mole_fractions = comp, temperature = tburner)
# set the surface state
f.surface.setTemperature(tsurf)
f.set(tol = tol_ss, tol_time = tol_ts)
f.setMaxJacAge(5, 10)
f.set(energy = 'off')
f.init(products = 'equil') # assume adiabatic equilibrium products
f.showSolution()
f.solve(loglevel, refine_grid)
f.setRefineCriteria(ratio = ratio, slope = slope,
curve = curve, prune = prune)
f.set(energy = 'on')
m = 0
for md in mdot:
f.inlet.set(mdot = md)
f.solve(loglevel,refine_grid)
m = m + 1
f.save('stflame1.xml','mdot'+`m`,'mdot = '+`md`+' kg/m2/s')
# write the velocity, temperature, and mole fractions to a CSV file
z = f.flow.grid()
T = f.T()
u = f.u()
V = f.V()
fcsv = open('stflame1_'+`m`+'.csv','w')
writeCSV(fcsv, ['z (m)', 'u (m/s)', 'V (1/s)', 'T (K)']
+ list(gas.speciesNames()))
for n in range(f.flow.nPoints()):
f.setGasState(n)
writeCSV(fcsv, [z[n], u[n], V[n], T[n]]+list(gas.moleFractions()))
fcsv.close()
print 'solution saved to flame1.csv'
f.showStats()

View file

@ -1,74 +0,0 @@
#
# This data file lists temperature vs. height values for a burner-stabilized flame.
# This file is used by example 'fixed_T_flame.py'.
#
0, 373.7
0.00015625, 465.4070428
0.000234375, 510.4311676
0.000390625, 599.5552837
0.00046875, 643.8342938
0.000507813, 665.9335545
0.000546875, 688.0122338
0.000625, 732.1284327
0.000664062, 754.1744755
0.000703125, 776.2170662
0.000742188, 798.2588757
0.00078125, 820.3020011
0.000820313, 842.348001
0.000859375, 864.3979228
0.000898437, 886.4523159
0.0009375, 908.5112198
0.001015625, 952.6396629
0.001054688, 974.7018199
0.00109375, 996.7515831
0.001132813, 1018.777651
0.001171875, 1040.765863
0.001210938, 1062.69948
0.00125, 1084.558639
0.001289062, 1106.320078
0.001328125, 1127.956918
0.001367187, 1149.438472
0.00140625, 1170.730129
0.001445313, 1191.793309
0.001484375, 1212.585506
0.001523438, 1233.060477
0.0015625, 1253.168589
0.001601563, 1272.857384
0.001640625, 1292.072391
0.00171875, 1328.859767
0.001757812, 1346.323998
0.001796875, 1363.101361
0.001835937, 1379.147594
0.001875, 1394.425274
0.001914063, 1408.905834
0.001953125, 1422.569115
0.001992188, 1435.40408
0.00203125, 1447.410648
0.002070313, 1458.597668
0.002109375, 1468.982722
0.002148438, 1478.590978
0.0021875, 1487.453914
0.002226563, 1495.607879
0.002265625, 1503.092709
0.002304688, 1509.950449
0.00234375, 1516.224147
0.002382813, 1521.956853
0.002421875, 1527.19079
0.002460938, 1531.966722
0.0025, 1536.32348
0.002578125, 1543.891739
0.00265625, 1550.203579
0.002734375, 1555.480771
0.0028125, 1559.908135
0.002890625, 1563.637879
0.00296875, 1566.794144
0.003046875, 1569.477867
0.003125, 1571.77099
0.00328125, 1575.385829
0.0034375, 1578.108169
0.00359375, 1580.194856
0.00375, 1581.820666
0.00390625, 1583.106578
0.0087, 1589.51315
0.01, 1589.578955