Difference between revisions of "Premix CH 4/Air flame with scheme GRI12"

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(QSS step)
(DRGEP step)
Line 84: Line 84:
  
  
  --
+
  Forward reaction 1  2.00309523982856e-05
  --
+
Forward reaction 11  3.18147185453261e-05
 +
  Forward reaction 2  5.32566156092659e-05
 +
Forward reaction 22  0.000208990760221458
 +
Forward reaction 12  0.000233718026775223
 +
Forward reaction 23  0.00168454263548541
 +
Forward reaction 6  0.00205742859762978
 +
Forward reaction 18  0.00214115102965165
 +
Forward reaction 31  0.00256497802215946
 +
Forward reaction 36  0.00423851339874799
 +
Forward reaction 38  0.00628487407561224
 +
Forward reaction 10  0.00709110759390656
 +
Forward reaction 34  0.00727675620154213
 +
Forward reaction 7  0.00816841804675756
 +
Forward reaction 32  0.0105674795412119
 +
Forward reaction 8  0.0113926379537138
 +
Forward reaction 37  0.0121416499150591
 +
Forward reaction 24  0.0125158192768498
 +
Forward reaction 29  0.0283685658437263
 +
Forward reaction 13  0.0346772420107361
 +
Forward reaction 9  0.0421005353808225
 +
Forward reaction 5  0.0438925336438239
 +
Forward reaction 19  0.052214327287295
 +
Forward reaction 14  0.0559978780179485
 +
Forward reaction 40  0.117011315958426
 +
Forward reaction 3  0.119098963953184
 +
Forward reaction 35  0.134916815372161
 +
Forward reaction 26  0.139922784638101
 +
Forward reaction 21  0.156522233152828
 +
Forward reaction 30  0.159817663946469
 +
Forward reaction 20  0.170817390119866
 +
Forward reaction 39  0.188379388541834
 +
Forward reaction 4  0.216840759493952
 +
Forward reaction 15  0.220017919211627
 +
Forward reaction 42  0.233730982227189
 +
Forward reaction 27  0.289635965581729
 +
Forward reaction 25  0.297660981150591
 +
Forward reaction 16  0.313186383157947
 +
Forward reaction 17  0.408165884440031
 +
Forward reaction 33  0.436800577700256
 +
Forward reaction 41  0.466945029846515
 +
Forward reaction 28  0.46798620169842
 +
Reverse reaction 36  4.31457435977878e-12
 +
Reverse reaction 10  4.07393245251796e-10
 +
Reverse reaction 31  5.46767994862199e-10
 +
Reverse reaction 37  6.94717166789094e-10
 +
Reverse reaction 1  1.62679455171629e-09
 +
Reverse reaction 2  3.36952444783841e-09
 +
Reverse reaction 4  3.9394494587627e-09
 +
Reverse reaction 6  1.07567882185921e-07
 +
Reverse reaction 8  1.67295386056467e-07
 +
Reverse reaction 18  1.80412812846361e-07
 +
Reverse reaction 7  2.29730484442612e-07
 +
Reverse reaction 29  1.02774798716307e-06
 +
Reverse reaction 42  1.59774748772963e-06
 +
Reverse reaction 38  1.60488656493203e-06
 +
Reverse reaction 34  2.78747206613877e-06
 +
Reverse reaction 32  4.79372054090737e-06
 +
Reverse reaction 22  5.15258170490348e-06
 +
Reverse reaction 21  9.09619375620443e-06
 +
Reverse reaction 19  1.6264917798335e-05
 +
Reverse reaction 33  2.2111561567654e-05
 +
Reverse reaction 11  2.30018419933948e-05
 +
Reverse reaction 14  3.91565530202607e-05
 +
Reverse reaction 12  6.04970176547156e-05
 +
Reverse reaction 9  0.000139162041703192
 +
Reverse reaction 3  0.00016265208315078
 +
Reverse reaction 41  0.000350182801894106
 +
Reverse reaction 13  0.000499139457311589
 +
Reverse reaction 20  0.000549518915338207
 +
Reverse reaction 30  0.00069364782602912
 +
Reverse reaction 26  0.000732044791986802
 +
Reverse reaction 5  0.000811514966114664
 +
Reverse reaction 16  0.000822421784788142
 +
Reverse reaction 27  0.00399298992388133
 +
Reverse reaction 15  0.00452951884981948
 +
Reverse reaction 24  0.031077090852003
 +
Reverse reaction 40  0.0404069054905756
 +
Reverse reaction 35  0.0422888795532929
 +
Reverse reaction 39  0.067009846281901
 +
Reverse reaction 23  0.196527603907256
 +
Reverse reaction 25  0.300502412047135
 +
Reverse reaction 28  0.339570121629816
 +
Reverse reaction 17  0.4037115227148
 +
Reaction 11  1.76836114590199e-05
 +
Reaction 1  2.00306712724843e-05
 +
Reaction 2  5.32560412611922e-05
 +
Reaction 12  0.000199370652543748
 +
Reaction 22  0.000203838178516555
 +
Reaction 6  0.00205742513026953
 +
Reaction 18  0.00214112144276709
 +
Reaction 31  0.00256497802215946
 +
Reaction 36  0.00423851339874798
 +
Reaction 38  0.00628440315477067
 +
Reaction 10  0.00709110759390656
 +
Reaction 34  0.00727675619860293
 +
Reaction 7  0.00816841794021552
 +
Reaction 32  0.0105674795412113
 +
Reaction 8  0.011392637948932
 +
Reaction 37  0.0121416498847893
 +
Reaction 25  0.0223800727572329
 +
Reaction 24  0.0282453396822729
 +
Reaction 29  0.0283685654460358
 +
Reaction 13  0.0346772420107361
 +
Reaction 9  0.0420990341989184
 +
Reaction 5  0.0436190317079101
 +
Reaction 19  0.052214327287295
 +
Reaction 14  0.0559978780179485
 +
Reaction 40  0.116797747919766
 +
Reaction 3  0.119098963953184
 +
Reaction 35  0.124498803353466
 +
Reaction 26  0.139190739846114
 +
Reaction 21  0.156522233136118
 +
Reaction 30  0.159814723012322
 +
Reaction 20  0.170817390107279
 +
Reaction 39  0.1880142273317
 +
Reaction 23  0.196350171114342
 +
Reaction 4  0.216840758956933
 +
Reaction 15  0.216904850055577
 +
Reaction 42  0.233730982227189
 +
Reaction 17  0.288086975041949
 +
Reaction 27  0.28850598819427
 +
Reaction 16  0.313186383157947
 +
Reaction 33  0.436800577699977
 +
Reaction 41  0.466945029846514
 +
Reaction 28  0.467986201698403
  
  

Revision as of 15:58, 5 July 2017

Objectives

The Stochastic_GRI12 test case describes a reduction of the GRI1.2 scheme for a 1D premixed flame. Starting with 32 species and 177 reactions, we reduce to 14 species and 26 reactions.

Key parameters

The target species considered for this test case are O2, CO and CO2. The characteristics of the premixed flame are displayed below :

listFlames.push_back(new PremixedFlames(/*T_fuel*/ 300, 
                                        /*T_ox*/ 300,
                                        /*Pressure*/ 1E+05,
                                        /*Ratio*/ 0.75,
                                        /*Y_fuel*/ "CH4:1.0",
                                        /*X_fuel*/ "",
                                        /*Y_ox*/ "O2:0.21, N2:0.79",
                                        /*X_ox*/ "",
                                        /*reference_flame_path*/ "flames/flame__Phi_0_75__P_100000__T_300.cantera",
                                        /*flame_path*/ "flames/flame"));

Results

DRGEP step

While running the DRGEP species step, your terminal should display the following information :


scheme : GRI12 
number of species : 32 
number of reaction : 177 
reference flame : flames/flame__Phi_0_75__P_100000__T_300.cantera
Pressure : 1 bar 
equivalence ration : 0.75 
Composition :		<O2:0.202024>  
                       <CH4:0.0379821> 
                       <N2:0.759994> 


followed by the the species associated with their rank :

4.17578965277519e-189  AR 
1.81320667696424e-06  HCCOH 
3.33272520534669e-05  C2H 
0.000136594690602079  CH2CO 
0.000228724937160335  C 
0.00039194258246205  C2H2 
0.000909271897890726  HCCO 
0.00324304055657054  CH 
0.00391278892730799  C2H3 
0.00395833642581853  CH3OH 
0.00517918655958378  CH2OH 
0.0158390004661296  C2H4 
0.0158390004661296  C2H5 
0.0160151369051444  CH2(S)
0.0209164664682532  C2H6
0.0317122146887158  CH2 
0.0395596174129288  H2O2
0.0796917798682698  H2 
0.0949180222420726  CH3 
0.108929211050051  HCO 
0.123697044495215  CH2O 
0.154156160901222  H2O 
0.165970760424094  CH3O 
0.222439341655666  O 
0.292243743837601  HO2 
0.501413374426018  OH 
0.501449580770414  H 
1  O2 
1  CH4
1  CO 
1  CO2 
1  N2


From a detailed 32 species scheme, we obtain reduced schemes (31 to 14 species). and we choose the one with 14 species for the next step.

DRGEPSpec 14Sp 42R Premixed.png

Fig1 : Comparison between the reference trajectories of the target species, the temperature and the flame speed (in black), and the trajectories computed with the reduced mechanism with 14 transported species and 42 reactions, after a DRGEP species reduction (in red).

From the reduced scheme with 14 species, the DRGEP reaction step displays the associated 42 reactions (forward, reverse and global) with their rank :


Forward reaction 1  2.00309523982856e-05
Forward reaction 11  3.18147185453261e-05
Forward reaction 2  5.32566156092659e-05
Forward reaction 22  0.000208990760221458
Forward reaction 12  0.000233718026775223
Forward reaction 23  0.00168454263548541
Forward reaction 6  0.00205742859762978
Forward reaction 18  0.00214115102965165
Forward reaction 31  0.00256497802215946
Forward reaction 36  0.00423851339874799
Forward reaction 38  0.00628487407561224
Forward reaction 10  0.00709110759390656
Forward reaction 34  0.00727675620154213
Forward reaction 7  0.00816841804675756
Forward reaction 32  0.0105674795412119
Forward reaction 8  0.0113926379537138
Forward reaction 37  0.0121416499150591
Forward reaction 24  0.0125158192768498
Forward reaction 29  0.0283685658437263
Forward reaction 13  0.0346772420107361
Forward reaction 9  0.0421005353808225
Forward reaction 5  0.0438925336438239
Forward reaction 19  0.052214327287295
Forward reaction 14  0.0559978780179485
Forward reaction 40  0.117011315958426
Forward reaction 3  0.119098963953184
Forward reaction 35  0.134916815372161
Forward reaction 26  0.139922784638101
Forward reaction 21  0.156522233152828
Forward reaction 30  0.159817663946469
Forward reaction 20  0.170817390119866
Forward reaction 39  0.188379388541834
Forward reaction 4  0.216840759493952
Forward reaction 15  0.220017919211627
Forward reaction 42  0.233730982227189
Forward reaction 27  0.289635965581729
Forward reaction 25  0.297660981150591
Forward reaction 16  0.313186383157947
Forward reaction 17  0.408165884440031
Forward reaction 33  0.436800577700256
Forward reaction 41  0.466945029846515
Forward reaction 28  0.46798620169842
Reverse reaction 36  4.31457435977878e-12
Reverse reaction 10  4.07393245251796e-10
Reverse reaction 31  5.46767994862199e-10
Reverse reaction 37  6.94717166789094e-10
Reverse reaction 1  1.62679455171629e-09
Reverse reaction 2  3.36952444783841e-09
Reverse reaction 4  3.9394494587627e-09
Reverse reaction 6  1.07567882185921e-07
Reverse reaction 8  1.67295386056467e-07
Reverse reaction 18  1.80412812846361e-07
Reverse reaction 7  2.29730484442612e-07
Reverse reaction 29  1.02774798716307e-06
Reverse reaction 42  1.59774748772963e-06
Reverse reaction 38  1.60488656493203e-06
Reverse reaction 34  2.78747206613877e-06
Reverse reaction 32  4.79372054090737e-06
Reverse reaction 22  5.15258170490348e-06
Reverse reaction 21  9.09619375620443e-06
Reverse reaction 19  1.6264917798335e-05
Reverse reaction 33  2.2111561567654e-05
Reverse reaction 11  2.30018419933948e-05
Reverse reaction 14  3.91565530202607e-05
Reverse reaction 12  6.04970176547156e-05
Reverse reaction 9  0.000139162041703192
Reverse reaction 3  0.00016265208315078
Reverse reaction 41  0.000350182801894106
Reverse reaction 13  0.000499139457311589
Reverse reaction 20  0.000549518915338207
Reverse reaction 30  0.00069364782602912
Reverse reaction 26  0.000732044791986802
Reverse reaction 5  0.000811514966114664
Reverse reaction 16  0.000822421784788142
Reverse reaction 27  0.00399298992388133
Reverse reaction 15  0.00452951884981948
Reverse reaction 24  0.031077090852003
Reverse reaction 40  0.0404069054905756
Reverse reaction 35  0.0422888795532929
Reverse reaction 39  0.067009846281901
Reverse reaction 23  0.196527603907256
Reverse reaction 25  0.300502412047135
Reverse reaction 28  0.339570121629816
Reverse reaction 17  0.4037115227148
Reaction 11  1.76836114590199e-05
Reaction 1  2.00306712724843e-05
Reaction 2  5.32560412611922e-05
Reaction 12  0.000199370652543748
Reaction 22  0.000203838178516555
Reaction 6  0.00205742513026953
Reaction 18  0.00214112144276709
Reaction 31  0.00256497802215946
Reaction 36  0.00423851339874798
Reaction 38  0.00628440315477067
Reaction 10  0.00709110759390656
Reaction 34  0.00727675619860293
Reaction 7  0.00816841794021552
Reaction 32  0.0105674795412113
Reaction 8  0.011392637948932
Reaction 37  0.0121416498847893
Reaction 25  0.0223800727572329
Reaction 24  0.0282453396822729
Reaction 29  0.0283685654460358
Reaction 13  0.0346772420107361
Reaction 9  0.0420990341989184
Reaction 5  0.0436190317079101
Reaction 19  0.052214327287295
Reaction 14  0.0559978780179485
Reaction 40  0.116797747919766
Reaction 3  0.119098963953184
Reaction 35  0.124498803353466
Reaction 26  0.139190739846114
Reaction 21  0.156522233136118
Reaction 30  0.159814723012322
Reaction 20  0.170817390107279
Reaction 39  0.1880142273317
Reaction 23  0.196350171114342
Reaction 4  0.216840758956933
Reaction 15  0.216904850055577
Reaction 42  0.233730982227189
Reaction 17  0.288086975041949
Reaction 27  0.28850598819427
Reaction 16  0.313186383157947
Reaction 33  0.436800577699977
Reaction 41  0.466945029846514
Reaction 28  0.467986201698403


After this step, by comparing the reference trajectories with the new ones, we choose to delete 16 reactions, so the next step is performed with 14 species and 26 reactions.

DRGEPR 14sp 26R Premixed.png

Fig2 : Comparison between the trajectories of the target species, the temperature and the flame speed computed with the reduced 14-species 42-reaction mechanism (in black) , and the trajectories computed with the reduced mechanism with 14 transported species and 26 reactions after a DRGEP reaction reduction (in red).

QSS step

The QSS step provides the QSS criteria of each species and the different links with the others species :

Species H  0.0581710482364302
Species O  0.0160759870785582
Species O2  0.277560360139677
Species OH  0.0144373005142915
Species H2O  0.314791474636433
Species HO2  0.010252726793236
Species CH3  0.100336627880574
Species CH4  0.79524736833312
Species CO  0.694064507028327
Species CO2  0.692897407440143
Species HCO  0.00243878401227475
Species CH2O  0.0772557856780877
Species CH3O  0.0207969879289909
Species N2  0
Interactions with species H  with QSS Criteria 0.0581710482364302
HO2:2  CH3:1  CH2O:2  CH3O:1  N2:1  
Interactions with species O  with QSS Criteria 0.0160759870785582
OH:1  HO2:1  CH3:1  CH2O:1  CH3O:1  
Interactions with species OH  with QSS Criteria 0.0144373005142915
O:1  OH:2  HO2:1  CH3:2  HCO:2  CH2O:1  CH3O:1  
Interactions with species HO2  with QSS Criteria 0.010252726793236
H:2  O:1  OH:1  CH3:1  CH2O:1  N2:1  
Interactions with species CH3  with QSS Criteria 0.100336627880574
H:1  O:1  OH:2  HO2:1  
Interactions with species HCO  with QSS Criteria 0.00243878401227475
OH:2  
Interactions with species CH2O  with QSS Criteria 0.0772557856780877
H:2  O:1  OH:1  HO2:1  
Interactions with species CH3O  with QSS Criteria 0.0207969879289909
H:1  O:1  OH:1  
Interactions with species N2  with QSS Criteria 0
H:1  HO2:1 


We choose to put the species CH3O and HCO in QSS hypothesis due to their low QSS coefficient. The species HO2 could have been a good candidate too but it is linked to himself (non linearity).

In order to obtain the trajectories of the 14-species 26-reaction reduced scheme with these 2 species in QSS hypothesis, we run the getQSSfile step and we obtain the following graphs.We observe that the final state and the shape of the trajectories are conserved. It is under these conditions that the optimisation step will be efficient.

QSS 12sp Premixed.png

Fig3 : Comparison between the reference trajectories of the target species, the temperature and the flame speed (in black), and the trajectories computed with the reduced mechanism with 12 transported species and 26 reactions after a DRGEp reaction reduction (in red).

Optimisation

Bibliography