{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# V - 1D computations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The two following links might help you during the computation of 1D flames :
\n",
"https://cantera.org/documentation/docs-2.4/sphinx/html/cython/onedim.html
\n",
"https://cantera.org/science/flames.html\n",
"
\n",
"The first one is about the function that can be used for computing a one dimensional flame and the second one explains the equations that are computed.
\n",
"The main difference between Cantera and a solver like AVBP is that equations are already one dimensional in Cantera."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. ADIABATIC FLAME - A freely-propagating, premixed flat flame "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
This script will show you the creation of a premixed flame. First the initial solution is created and then, the calculation is performed before plotting the interesting results.
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import cantera as ct\n", "import numpy as np\n", "from matplotlib.pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.1 Initial solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Import solution" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "gas = ct.Solution('gri30.cti') # Import gas phases with mixture transport model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Set the parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# General\n", "p = 1e5 # pressure\n", "tin = 600.0 # unburned gas temperature\n", "phi = 0.8 # equivalence ratio\n", "\n", "fuel = {'CH4': 1} # Methane composition\n", "oxidizer = {'O2': 1, 'N2': 3.76} # Oxygen composition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Set gas state to that of the unburned gas" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "gas.TP = tin, p\n", "gas.set_equivalence_ratio(phi, fuel, oxidizer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Create the flame and set inlet conditions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "f = ct.FreeFlame(gas, width=0.02) # Create the free laminar premixed flame specifying the width of the grid\n", "f.inlet.X = gas.X # Inlet condition on mass fraction\n", "f.inlet.T = gas.T # Inlet condition on temperature" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.2 Program starts here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea here is to solve four flames to make the calculation converge. The first flame will be solved without equation energy whereas the others will continue the computation by enabling the calculation using the equation energy and by adding more point to the flame front.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### First flame" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "..............................................................................\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 2 timesteps 1.5e-05 1.624\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 5 timesteps 7.594e-05 1.356\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 10 timesteps 0.0002162 1.814\n", "Attempt Newton solution of steady-state problem... failure. \n", "Take 20 timesteps 0.01184 -1.328\n", "Attempt Newton solution of steady-state problem... success.\n", "\n", "Problem solved on [9] point grid(s).\n", "\n", "..............................................................................\n", "grid refinement disabled.\n", "Solution saved to file 4-Output/ch4_adiabatic.xml as solution no energy.\n" ] } ], "source": [ "f.energy_enabled = False # No energy for starters\n", "\n", "tol_ss = [1.0e-5, 1.0e-9] # tolerance [rtol atol] for steady-state problem\n", "tol_ts = [1.0e-5, 1.0e-9] # tolerance [rtol atol] for time stepping\n", "\n", "f.flame.set_steady_tolerances(default=tol_ss)\n", "f.flame.set_transient_tolerances(default=tol_ts)\n", "\n", "# Set calculation parameters\n", "f.set_max_jac_age(50, 50) # Maximum number of times the Jacobian will be used before it \n", " # must be re-evaluated\n", "f.set_time_step(1.0e-5, [2, 5, 10, 20, 80]) # Set time steps (in seconds) whenever Newton convergence fails \n", "f.set_refine_criteria(ratio=10.0, slope=1, curve=1) # Refinement criteria\n", "\n", "# Calculation\n", "loglevel = 1 # amount of diagnostic output (0 to 5)\n", "refine_grid = 'disabled' # 'refine' or 'remesh' to enable refinement\n", " # 'disabled' to disable\n", "\n", "f.solve(loglevel, refine_grid) # solve the flame on the grid\n", "f.save('4-Output/ch4_adiabatic.xml', 'no energy','solution with no energy') # save solution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Second flame" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "f.energy_enabled = True # Energy equation enabled\n", "refine_grid = 'refine' # Calculation and save of the results\n", "\n", "f.set_refine_criteria(ratio=5.0, slope=0.5, curve=0.5) # Refinement criteria when energy equation is enabled\n", "\n", "f.solve(loglevel, refine_grid)\n", "f.save('4-Output/ch4_adiabatic.xml', 'energy', 'solution with the energy equation enabled')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mixture-averaged flamespeed = 1.138558 m/s\n" ] } ], "source": [ "print('mixture-averaged flamespeed = {0:7f} m/s'.format(f.u[0])) # m/s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Third flame and so on ..." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "f.set_refine_criteria(ratio=2.0, slope=0.05, curve=0.05) # Refinement criteria should be changed ...\n", "\n", "f.solve(loglevel, refine_grid) \n", "f.save('4-Output/ch4_adiabatic.xml', 'energy continuation','solution with the energy equation enabled continuation')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mixture-averaged flamespeed continuation = 1.070030 m/s\n", "mixture-averaged final T = 2201.068248 K\n" ] } ], "source": [ "points = f.flame.n_points\n", "print('mixture-averaged flamespeed continuation = {0:7f} m/s'.format(f.u[0])) # m/s\n", "print('mixture-averaged final T = {0:7f} K'.format(f.T[points - 1])) # K" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fourth flame and so on ..." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "\n", "f.transport_model = 'Multi' # Switch transport model\n", "\n", "f.solve(loglevel, refine_grid)\n", "\n", "f.save('4-Output/ch4_adiabatic.xml', 'energy_multi',\n", " 'solution with the multicomponent transport and energy equation enabled')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "multicomponent flamespeed = 1.081526 m/s\n", "multicomponent final T = 2201.849447 K\n" ] } ], "source": [ "points = f.flame.n_points\n", "print('multicomponent flamespeed = {0:7f} m/s'.format(f.u[0])) # m/s\n", "print('multicomponent final T = {0:7f} K'.format(f.T[points - 1])) # K" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may notice that there are small differences on the flamespeed and on the final temperature between the two transport models, as it was predictable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1.3 Manipulate the results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Save your results" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution saved to '4-Output/ch4_adiabatic.csv'.\n" ] } ], "source": [ "f.write_csv('4-Output/ch4_adiabatic.csv', quiet=False) # Write the velocity, temperature, density, and mole fractions \n", " # to a CSV file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot your results (temperature, density, velocity, ...)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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