diff --git a/flames/images/twinPremixedFlame.png b/flames/images/twinPremixedFlame.png new file mode 100644 index 0000000..b7fdad6 Binary files /dev/null and b/flames/images/twinPremixedFlame.png differ diff --git a/flames/twin_premixed_flame_axisymmetric.ipynb b/flames/twin_premixed_flame_axisymmetric.ipynb new file mode 100644 index 0000000..388f944 --- /dev/null +++ b/flames/twin_premixed_flame_axisymmetric.ipynb @@ -0,0 +1,3157 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Twin Premixed Counter-Flow Flame Example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This example documents how to simulate two identical, axisymmetric, premixed jets of reactants shooting into each other. An illustration of this configuration is shown in the figure below" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "![Twin Premixed Flame](images/twinPremixedFlame.png)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import modules" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running Cantera Version: 2.3.0a3\n" + ] + } + ], + "source": [ + "from __future__ import print_function\n", + "from __future__ import division\n", + "\n", + "import cantera as ct\n", + "import numpy as np\n", + "\n", + "print(\"Running Cantera Version: \" + str(ct.__version__))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Define the reactant conditions, gas mixture and kinetic mechanism associated with the gas" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "#Inlet Temperature in Kelvin and Inlet Pressure in Pascals\n", + "#In this case we are setting the inlet T and P to room temperature conditions\n", + "To = 300\n", + "Po = 101325\n", + "\n", + "#Define the gas-mixutre and kinetics\n", + "#In this case, we are choosing a GRI3.0 gas\n", + "gas = ct.Solution('gri30.cti')\n", + "\n", + "# Create a CH4/Air premixed mixture with equivalence ratio=0.75\n", + "gas.set_equivalence_ratio(0.75, 'CH4', {'O2':1.0, 'N2':3.76})\n", + "gas.TP = To, Po\n", + "\n", + "# Set the velocity of the reactants\n", + "# This is what determines the strain-rate\n", + "axial_velocity = 2.0 # in m/s\n", + "\n", + "# Done with initial conditions\n", + "# Compute the mass flux, as this is what the Flame object requires\n", + "massFlux = gas.density * axial_velocity # units kg/m2/s\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Define functions" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Differentiation function for data that has variable grid spacing Used here to\n", + "# compute normal strain-rate\n", + "def derivative(x, y):\n", + " dydx = np.zeros(y.shape, y.dtype.type)\n", + "\n", + " dx = np.diff(x)\n", + " dy = np.diff(y)\n", + " dydx[0:-1] = dy/dx\n", + "\n", + " dydx[-1] = (y[-1] - y[-2])/(x[-1] - x[-2])\n", + "\n", + " return dydx\n", + "\n", + "def computeStrainRates(oppFlame):\n", + " # Compute the derivative of axial velocity to obtain normal strain rate\n", + " strainRates = derivative(oppFlame.grid, oppFlame.u)\n", + "\n", + " # Obtain the location of the max. strain rate upstream of the pre-heat zone.\n", + " # This is the characteristic strain rate\n", + " maxStrLocation = abs(strainRates).argmax()\n", + " minVelocityPoint = oppFlame.u[:maxStrLocation].argmin()\n", + "\n", + " # Characteristic Strain Rate = K\n", + " strainRatePoint = abs(strainRates[:minVelocityPoint]).argmax()\n", + " K = abs(strainRates[strainRatePoint])\n", + "\n", + " return strainRates, strainRatePoint, K\n", + "\n", + "def computeConsumptionSpeed(oppFlame):\n", + "\n", + " Tb = max(oppFlame.T)\n", + " Tu = min(oppFlame.T)\n", + " rho_u = max(oppFlame.density)\n", + "\n", + " integrand = oppFlame.heat_release_rate/oppFlame.cp\n", + "\n", + " I = np.trapz(integrand, oppFlame.grid)\n", + " Sc = I/(Tb - Tu)/rho_u\n", + "\n", + " return Sc\n", + "\n", + "# This function is called to run the solver\n", + "def solveOpposedFlame(oppFlame, massFlux=0.12, loglevel=0,\n", + " ratio=2, slope=0.3, curve=0.3, prune=0.05):\n", + " \"\"\"\n", + " Execute this function to run the Oppposed Flow Simulation This function\n", + " takes a CounterFlowTwinPremixedFlame object as the first argument\n", + " \"\"\"\n", + "\n", + " oppFlame.reactants.mdot = massFlux\n", + " oppFlame.set_refine_criteria(ratio=ratio, slope=slope, curve=curve, prune=prune)\n", + "\n", + " oppFlame.show_solution()\n", + " oppFlame.solve(loglevel, auto=True)\n", + "\n", + " # Compute the strain rate, just before the flame. This is not necessarily\n", + " # the maximum We use the max. strain rate just upstream of the pre-heat zone\n", + " # as this is the strain rate that computations comprare against, like when\n", + " # plotting Su vs. K\n", + " strainRates, strainRatePoint, K = computeStrainRates(oppFlame)\n", + "\n", + " return np.max(oppFlame.T), K, strainRatePoint" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Define a flame object, domain width and tranport model" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Define a domain half-width of 2.5 cm, meaning the whole domain is 5 cm wide\n", + "width = 0.025\n", + "\n", + "# Create the flame object\n", + "oppFlame = ct.CounterflowTwinPremixedFlame(gas, width=width)\n", + "\n", + "# Uncomment the following line to use a Multi-component formulation. Default is\n", + "# mixture-averaged\n", + "#oppFlame.transport_model = 'Multi'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Run the Solver" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + ">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reactants <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<\n", + "\n", + " Mass Flux: 2.268 kg/m^2/s \n", + " Temperature: 300 K \n", + " Mass Fractions: \n", + " O2 0.2232 \n", + " CH4 0.04197 \n", + " N2 0.7348 \n", + "\n", + "\n", + "\n", + ">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> flame <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<\n", + "\n", + " Pressure: 1.013e+05 Pa\n", + "\n", + "-------------------------------------------------------------------------------\n", + " z u V T lambda H2 \n", + "-------------------------------------------------------------------------------\n", + " 0 2 0 300 0 0 \n", + " 0.005 1.6 32 300 0 0 \n", + " 0.01 1.2 64 300 0 2.06e-21 \n", + " 0.0125 1 80 1110 0 3.711e-06 \n", + " 0.015 0.8 96 1920 0 7.422e-06 \n", + " 0.02 0.4 128 1920 0 7.422e-06 \n", + " 0.025 0 160 1920 0 7.422e-06 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z H O O2 OH H2O \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0.2232 0 0 \n", + " 0.005 0 0 0.2232 0 0 \n", + " 0.01 9.354e-23 1.216e-20 0.2232 1.907e-19 2.604e-17 \n", + " 0.0125 1.685e-07 2.191e-05 0.1386 0.0003435 0.04691 \n", + " 0.015 3.37e-07 4.382e-05 0.05403 0.0006871 0.09382 \n", + " 0.02 3.37e-07 4.382e-05 0.05403 0.0006871 0.09382 \n", + " 0.025 3.37e-07 4.382e-05 0.05403 0.0006871 0.09382 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z HO2 H2O2 C CH CH2 \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 2.619e-22 1.513e-23 1.528e-38 1.236e-39 4.048e-39 \n", + " 0.0125 4.718e-07 2.725e-08 2.753e-23 2.226e-24 7.292e-24 \n", + " 0.015 9.435e-07 5.45e-08 5.506e-23 4.452e-24 1.458e-23 \n", + " 0.02 9.435e-07 5.45e-08 5.506e-23 4.452e-24 1.458e-23 \n", + " 0.025 9.435e-07 5.45e-08 5.506e-23 4.452e-24 1.458e-23 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z CH2(S) CH3 CH4 CO CO2 \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0.04197 0 0 \n", + " 0.005 0 0 0.04197 0 0 \n", + " 0.01 1.788e-40 3.885e-38 0.04197 6.135e-20 3.186e-17 \n", + " 0.0125 3.22e-25 6.999e-23 0.02098 0.0001105 0.05739 \n", + " 0.015 6.441e-25 1.4e-22 0 0.0002211 0.1148 \n", + " 0.02 6.441e-25 1.4e-22 8.264e-23 0.0002211 0.1148 \n", + " 0.025 6.441e-25 1.4e-22 8.264e-23 0.0002211 0.1148 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z HCO CH2O CH2OH CH3O CH3OH \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 2.588e-28 2.804e-30 6.75e-37 8.315e-39 5.227e-38 \n", + " 0.0125 4.662e-13 5.052e-15 1.216e-21 1.498e-23 9.416e-23 \n", + " 0.015 9.324e-13 1.01e-14 2.432e-21 2.996e-23 1.883e-22 \n", + " 0.02 9.324e-13 1.01e-14 2.432e-21 2.996e-23 1.883e-22 \n", + " 0.025 9.324e-13 1.01e-14 2.432e-21 2.996e-23 1.883e-22 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z C2H C2H2 C2H3 C2H4 C2H5 \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 9.354e-48 7.624e-45 5.836e-51 9.138e-51 1.002e-56 \n", + " 0.0125 1.685e-32 1.373e-29 1.051e-35 1.646e-35 1.805e-41 \n", + " 0.015 3.37e-32 2.747e-29 2.103e-35 3.292e-35 3.61e-41 \n", + " 0.02 3.37e-32 2.747e-29 2.103e-35 3.292e-35 3.61e-41 \n", + " 0.025 3.37e-32 2.747e-29 2.103e-35 3.292e-35 3.61e-41 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z C2H6 HCCO CH2CO HCCOH N \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 7.332e-58 2.1e-41 3.353e-41 1.05e-44 3.232e-26 \n", + " 0.0125 1.321e-42 3.783e-26 6.04e-26 1.892e-29 5.822e-11 \n", + " 0.015 2.641e-42 7.567e-26 1.208e-25 3.785e-29 1.164e-10 \n", + " 0.02 2.641e-42 7.567e-26 1.208e-25 3.785e-29 1.164e-10 \n", + " 0.025 2.641e-42 7.567e-26 1.208e-25 3.785e-29 1.164e-10 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z NH NH2 NH3 NNH NO \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 2.797e-27 8.651e-28 3.559e-27 4.476e-27 8.318e-19 \n", + " 0.0125 5.038e-12 1.559e-12 6.411e-12 8.062e-12 0.001498 \n", + " 0.015 1.008e-11 3.117e-12 1.282e-11 1.612e-11 0.002997 \n", + " 0.02 1.008e-11 3.117e-12 1.282e-11 1.612e-11 0.002997 \n", + " 0.025 1.008e-11 3.117e-12 1.282e-11 1.612e-11 0.002997 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z NO2 N2O HNO CN HCN \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 1.205e-21 6.697e-23 2.279e-24 1.185e-33 8.215e-31 \n", + " 0.0125 2.17e-06 1.206e-07 4.106e-09 2.135e-18 1.48e-15 \n", + " 0.015 4.341e-06 2.413e-07 8.212e-09 4.269e-18 2.96e-15 \n", + " 0.02 4.341e-06 2.413e-07 8.212e-09 4.269e-18 2.96e-15 \n", + " 0.025 4.341e-06 2.413e-07 8.212e-09 4.269e-18 2.96e-15 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z H2CN HCNN HCNO HOCN HNCO \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 0 0 0 \n", + " 0.005 0 0 0 0 0 \n", + " 0.01 1.546e-38 4.735e-42 1.504e-35 8.599e-31 7.04e-28 \n", + " 0.0125 2.785e-23 8.53e-27 2.71e-20 1.549e-15 1.268e-12 \n", + " 0.015 5.57e-23 1.706e-26 5.42e-20 3.098e-15 2.536e-12 \n", + " 0.02 5.57e-23 1.706e-26 5.42e-20 3.098e-15 2.536e-12 \n", + " 0.025 5.57e-23 1.706e-26 5.42e-20 3.098e-15 2.536e-12 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z NCO N2 AR C3H7 C3H8 \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0.7348 0 0 0 \n", + " 0.005 0 0.7348 0 0 0 \n", + " 0.01 1.842e-29 0.7348 0 6.242e-76 4.325e-77 \n", + " 0.0125 3.319e-14 0.7341 0 1.125e-60 7.791e-62 \n", + " 0.015 6.638e-14 0.7334 0 2.249e-60 1.558e-61 \n", + " 0.02 6.638e-14 0.7334 0 2.249e-60 1.558e-61 \n", + " 0.025 6.638e-14 0.7334 0 2.249e-60 1.558e-61 \n", + "\n", + "-------------------------------------------------------------------------------\n", + " z CH2CHO CH3CHO \n", + "-------------------------------------------------------------------------------\n", + " 0 0 0 \n", + " 0.005 0 0 \n", + " 0.01 1.343e-47 2.414e-48 \n", + " 0.0125 2.42e-32 4.349e-33 \n", + " 0.015 4.84e-32 8.698e-33 \n", + " 0.02 4.84e-32 8.698e-33 \n", + " 0.025 4.84e-32 8.698e-33 \n", + "\n", + "\n", + ">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> products <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<\n", + "\n", + "\n", + "-------------------------------------------------------------------------------\n", + " z dummy \n", + "-------------------------------------------------------------------------------\n", + " 0 0 \n", + "\n", + "************ Solving on 7 point grid with energy equation enabled ************\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 2.848e-05 5.886\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0004865 5.142\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.008313 2.22\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [7] point grid(s).\n", + "\n", + "..............................................................................\n", + "grid refinement disabled.\n", + "\n", + "******************** Solving with grid refinement enabled ********************\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [7] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 1 2 3 4 5 \n", + " to resolve C2H2 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 1 point 4 u \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001139 5.734\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.002919 3.555\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [12] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 2 4 5 6 7 8 9 10 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 2 point 7 u \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001139 5.653\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001442 5.86\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.002463 3.926\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [20] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 1 4 9 10 11 12 13 17 18 \n", + " to resolve C C2H2 C2H3 C2H4 C2H6 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 1 point 4 u \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001139 5.647\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [29] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 0 10 14 15 16 17 18 23 26 27 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V point 0 point 10 point 23 u \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 7.594e-05 6.151\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001442 6.013\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 4.561e-05 5.695\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001155 5.755\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.001973 4.03\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [39] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 24 25 26 27 28 36 37 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + "##############################################################################\n", + "refine: discarding point at 0.0148437\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 5.695e-05 5.862\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 7.208e-05 6.072\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0005474 4.974\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 7.306e-05 6.124\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.001248 4.287\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [45] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 28 29 30 31 32 33 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + "##############################################################################\n", + "refine: discarding point at 0.0170313\n", + "refine: discarding point at 0.0173438\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001709 5.41\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [49] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 30 31 32 33 34 35 36 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T V u \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001139 5.784\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0005767 5.383\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0003079 5.314\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [56] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 29 34 39 40 41 42 43 44 \n", + " to resolve C C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCNO HCO HNCO HO2 N2 N2O NO NO2 O O2 OH T point 29 point 34 u \n", + "##############################################################################\n", + "refine: discarding point at 0.0179688\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0001709 5.61\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.001297 4.393\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [63] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 45 46 47 48 49 50 51 52 \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO NO2 O O2 OH T point 46 u \n", + "##############################################################################\n", + "refine: discarding point at 0.0184375\n", + "refine: discarding point at 0.01875\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.0002563 5.356\n", + "Attempt Newton solution of steady-state problem... failure. \n", + "Take 10 timesteps 0.001297 4.473\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [69] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 42 50 51 52 53 54 55 56 57 \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO CO2 H H2 H2O H2O2 HCCO HCCOH HCN HCO HNCO HO2 N2 NO2 O O2 OH T point 42 point 53 u \n", + "##############################################################################\n", + "refine: discarding point at 0.0182813\n", + "refine: discarding point at 0.0185938\n", + "refine: discarding point at 0.0189063\n", + "refine: discarding point at 0.0192188\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [74] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 52 53 54 55 56 57 58 59 60 61 \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H7 C3H8 CH CH2 CH2(S) CH2CHO CH2CO CH2O CH2OH CH3 CH3CHO CH3O CH3OH CH4 CO H H2 H2O H2O2 HCCO HCCOH HCN HCO HO2 N2 NO2 O O2 OH T point 61 \n", + "##############################################################################\n", + "refine: discarding point at 0.0196875\n", + "refine: discarding point at 0.0199219\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [82] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 51 52 55 56 57 58 59 60 61 62 \n", + " to resolve C2H2 C2H3 C2H4 C2H5 C2H6 C3H8 CH CH2 CH2(S) CH2CO CH2OH CH3 CH3CHO CH3O HCCO HCO \n", + "##############################################################################\n", + "refine: discarding point at 0.0195313\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [91] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 46 47 48 52 54 55 72 \n", + " to resolve C2H6 C3H8 CH3O point 52 point 72 \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [98] point grid(s).\n", + "\n", + "..............................................................................\n", + "##############################################################################\n", + "Refining grid in flame.\n", + " New points inserted after grid points 45 80 \n", + " to resolve point 45 point 80 \n", + "##############################################################################\n", + "\n", + "..............................................................................\n", + "Attempt Newton solution of steady-state problem... success.\n", + "\n", + "Problem solved on [100] point grid(s).\n", + "\n", + "..............................................................................\n", + "no new points needed in flame\n", + "Solution saved to 'premixed_twin_flame.csv'.\n" + ] + } + ], + "source": [ + "# The solver returns the peak temperature, strain rate and\n", + "# the point which we ascribe to the characteristic strain rate.\n", + "\n", + "(T, K, strainRatePoint) = solveOpposedFlame(oppFlame, massFlux, loglevel=1)\n", + "\n", + "# You can plot/see all state space variables by calling oppFlame.foo where foo\n", + "# is T, Y[i], etc. The spatial variable (distance in meters) is in oppFlame.grid\n", + "# Thus to plot temperature vs distance, use oppFlame.grid and oppFlame.T\n", + "\n", + "#This is to save output\n", + "oppFlame.write_csv(\"premixed_twin_flame.csv\", quiet=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Peak temperature: 1920.5 K\n", + "Strain Rate: 163.6 1/s\n", + "Consumption Speed: 20.80 cm/s\n" + ] + } + ], + "source": [ + "Sc = computeConsumptionSpeed(oppFlame)\n", + "\n", + "print(\"Peak temperature: {0:.1f} K\".format(T))\n", + "print(\"Strain Rate: {0:.1f} 1/s\".format(K))\n", + "print(\"Consumption Speed: {0:.2f} cm/s\".format(Sc*100))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot figures\n", + "\n", + "Note that the graphs only represent one-half of the domain, because the solution is symmetric" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Import plotting modules and define plotting preference\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib notebook\n", + "\n", + "plt.rcParams['figure.autolayout'] = True\n", + "\n", + "plt.rcParams['axes.labelsize'] = 14\n", + "plt.rcParams['xtick.labelsize'] = 12\n", + "plt.rcParams['ytick.labelsize'] = 12\n", + "plt.rcParams['legend.fontsize'] = 10\n", + "plt.rcParams['figure.facecolor'] = 'white'\n", + "plt.rcParams['figure.figsize'] = (8,6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Axial velocity plot" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure()\n", + "\n", + "plt.plot(oppFlame.grid*100, oppFlame.T, 'b-s', lw=2)\n", + "plt.xlim(oppFlame.grid[0], oppFlame.grid[-1]*100)\n", + "plt.xlabel('Distance (cm)')\n", + "plt.ylabel('Temperature (K)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Major Species' Plot" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('