1. Renewable energies | Eco-friendly production | Innovative transport | Eco-efficient processes | Sustainable resources
IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 2012
Habilitation à Diriger des Recherches
Modeling chemical kinetics and
turbulence interactions for internal
combustion
engine reactive flow simulations
António Pires da Cruz
Engine CFD and Simulation department
November 15, 2012
2. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20122
Habilitation à Diriger des Recherches
Institut National Polytechnique de Toulouse
Correspondant:
Dr. T. Poinsot, Directeur de Recherche, CNRS & Université de Toulouse, France
Rapporteurs:
Prof. A. M. Dean, William K. Coors Distinguished Professor and Dean, Colorado
School of Mines, USA
Prof. E. Mastorakos, Cambridge University, UK
Prof. L. Vervisch, Professeur à l'INSA de Rouen, France
Membres du jury:
Prof. S. Candel, Professeur à l'Ecole Centrale de Paris et membre de l'Académie
des Sciences
M. F. Ravet, Expert à Renault SA
M. S. Henriot, Directeur à IFP Energies nouvelles
3. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20123
Background and resume
Education:
1988-1993: Mechanical Engineering, IST Lisboa, Portugal
1993-1994: Masters degree (DEA), Univ. Paris VI, France
1994-1997: PhD Thesis, Univ. Paris VI, France and IFPEN (December 9, 1997)
Professional experience:
1991-1993: IST, Portugal – Finite elements thermo structural modeling (part time)
1997-1998: IFPEN, France – Research engineer (4 months)
1998-2000: ExxonMobil Research and Engineering, USA – Post-doctoral position
Since 2000: IFPEN, France
2000-2004: IFP School professor and research engineer
2004-2011: Project manager – CFD modeling and simulation and engine combustion
Since 2008: Department head – Engine CFD and Simulation department
4. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20124
PhD students:
G. Subramanian with L. Vervisch, INSA Rouen and O. Colin, IFPEN,
2002-2005
J. Anderlohr with F. Battin-Leclerc and R. Bounaceur, ENSIC
Nancy, 2006-2009
Teaching (fundamental combustion, thermodynamics,
programming...):
2000-2012, 639 hours, 60 to 90 students per year
Projects
IFPEN internal, GSM, ADEME, consortia, scientific collaborations,
contribution to numerous research proposals
Member of the Combustion Institute (French section board
2006-2010)
Publications:
Papers with reading committee (WOS): 11
Editorials: 1
Tuition, scientific activity and production
5. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20125
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
6. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20126
Green house gases: Estimated
human impact on surface temperature
Olivié et al., Atm. Chem. Phys., 2012
Total
Shipping
Aviation
CO2 –
Road transport
Non CO2 –
Road transport
7. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20127
CO2 sources from transport
Olivié et al., Atm. Chem. Phys., 2012
l'auto-journal (1er
nov 2012)
Shipping AviationRoad transport
Year 2000
Major CO2 reduction efforts made
by European (95 gCO2/km in 2020)
and Japanese auto OEMs must be
reinforced and globalized to all
countries and transport modes
8. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20128
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
9. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 20129
Modeling and Simulation1
For the growing number of problems where experiments
are impossible, dangerous, or inordinately costly, (...)
computing will enable the solution of vastly more accurate
predictive models and the analysis of massive quantities
of data, producing (...) advances in areas of science and
technology that are essential (...). For example, (...)
computing will push the frontiers of:
Reduction of the carbon footprint of the transportation sector
Innovative designs for cost‐effective renewable energy
resources such as batteries, catalysts, and biofuels
Design, control and manufacture of advanced technology
devices
(...)
1
The opportunities and challenges of
exascale computing, US DOE ASCAC
Comitee, 2010
10. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201210
km
mm
µm
nm
Turbulent
flame
Combustion
chamber
Engine
m
Vehicle
Environmental
impact
Spatial scales
related to transport and emissions
Flame/Vortex
interaction
Molecular
reactions
Laminar
flame
11. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201211
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
12. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201212
Species i mass fraction Favre average
transport equation:
Average and instantaneous reaction rate
(Arrhenius type):
Average flows: RANS turbulent
combustion modeling fundamentals
13. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201213
RANS Turbulent versus kinetic modeling
Turbulent mixing layer with 1-step chemistry
x
time [µs]
Turbulent
combustion model
"Arrhenius" or
"order 0 model" approach
time [µs]
TF = 300 K
Tox = 1000 K
YF,0 (nC7H16) = 1
Yox,0 = 0.233
Zst,nC7 = 0.062
Zmr ~ Zst
14. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201214
Main observations and highlights
Different ignition delays:
Kinetic: Total mixing (~0.05 ms)
Turbulent: AI delay depends on
mixing time (~0.3 ms)
Different ignition locations:
Kin: Z most reactive1
Turb: Highest probability of
finding Z most reactive
Reaction rate distribution:
Kin: High reaction rate over all
the mixing zone
Turb: Reaction progress
towards lean and rich zones
After AI:
Kin: Reaction at Zst
Turb: Mixing layer too diluted
Probability of finding Zst
Turb "no model"
1
E. Mastorakos et al., C&F, 1997
Zmr ~ Zst = 0.062
15. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201215
Conclusions:
RANS turbulent combustion modeling
Turbulence and kinetics are intrinsically coupled:
Non linear chemical kinetics (exponential behavior with
temperature)
Large turbulent fluctuations (temperature fluctuations
several 100 K)
In RANS, turbulent structures are handled statistically
Molecular mixing (at the smallest scales) and turbulent
fluctuations must be taken into account (eg. Mastorakos
et al., CMC auto-ignition, CST, 1997): Models for numerical
mixing are required
Kinetic reaction rates must be integrated over the
mixing distribution (eg. Pires da Cruz et al., C&F, 1999)
16. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201216
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
18. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201218
TRF fuel for gasoline ICE
SI engine experimental results1
suggested the validity
of the TRF2
as a gasoline surrogate
Heat release rate
CO2 emissions
NOx emissions
1
P. Anselmi et al., Rapport IFPEN 60419, GSM E2.3, 2007
2
C. Pera and V. Knop, Fuel, 2012
iC8H18
Standard gasoline
TRF mixture
19. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201219
Primary
Mechanism
Secondary
Mechanism
Mech generator EXGAS LRGP
C0-C2
Reactions
Base
Bounaceur
et al.2
(LRGP)
n-Heptane / iso-Octane (PRF)3Toluene
Kinetic
Model
THERGAS
KINGAS
ReactiveSpecies C0-C2 Reactions
Base
Primary
Mechanism
Secondary
Mechanism
Building a TRF/NOx kinetic mechanism1
NOx
GRI-MECH
3.0
Coupling: PRF-
toluene
Coupling: NOx-PRF
Coupling:
NOx-toluene
1
J. Anderlohr et al., C&F, 2009
2
R. Bounaceur et al., Int. J. Chem. Kin., 2005
3
F. Buda et al., C&F, 2005
20. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201220
Mechanism validation (PSR)
n-Heptane
Temperature [K]
MolarFraction[-]
■▲
■
■
■
■
■
■
■
■
■ ■ ■ ■ ■ ■
▲■▲
▲
▲
▲
▲
▲
▲ ▲ ▲ ▲ ▲ ▲ ▲
▲
■
■
■ ■ ■■■
■
▲
▲ ▲ ▲ ▲ ▲ ▲
Temperature [K]MolarFraction[-]
▲
■
■
▲
▲
toluene
▲
Pressure: 10 atm, Ф: 1
Dilution: 98 mol %
Moréac et al., C&F, 2006
Sim
Exp
Fuel + 500 ppmv NO
Fuel (no NO)
▲
●
Fuel + 50 ppmv NO ∎Good agreement between simulation and experience on the impact of
NO over alkanes and toluene oxidation
21. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201221
Final kinetic mechanism: TRF + NOx1
Validated over a wide range of experimental
conditions
Model size:
Number of species: ~ 500
Number of reactions: ~ 3000
Number of reactions NOx – HC: ~ 400
1
J. Anderlohr et al., C&F, 2009
22. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201222
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
23. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201223
10 years and more ago...
New and growing vehicle emissions
regulations
Fuel economy and low CO2 emissions
imposed
New and alternate fuels: Biodiesel, ethanol,
NGV...
Technological breakthroughs, like DI diesel
and gasoline, leading to chamber geometrical
constraints
Raising experimental security regulations and
costs
Benefits of CFD had been already highlighted
24. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201224
Engine CFD
Turbulent combustion modeling issues
Except for DNS, in LES and RANS, flames
mostly have subgrid dimensions
Subgrid turbulent combustion models are
needed
Due to combustion reaction rate non linearity,
turbulent effects have to be taken into
10-4
10-5
10-6
10-3
Thermallaminar
flamethickness10-2
Turbulentscales
DNScellsize
LEScellsize
RANScellsize
m
25. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201225
Turbulence / Chemistry interactions
Necessary ingredients:
Turbulence model
Description of fuel/air or fresh/burned gas mixing
Chemical kinetics – Complexity depends on
required goals (heat release only, major species,
regulated or non regulated pollutants...)
Turbulent combustion models:
Flamelet assumptions (two state description)1
Flamelets with presumed PDFs2
Thickened flame description3
Transported PDFs4
CMC5
1
S. Candel and T. Poinsot, CST, 1990
2
L. Vervisch et al., J. of Turb., 2004, Michel et al. C&F, 2008
3
O. Colin et al., Phys. Fluids, 2000
4
S. Pope, PECS, 1985
5
R. Bilger, Phys. Fluids, 1993 & E. Mastorakos et al., 1997
26. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201226
Taking chemical kinetics into account
ICE fuels: Complex mixtures of tenths to
hundreds of pure component fuels
Each fuel: Hundreds to thousands of chemical
species and reversible reactions
1st
Step: Choose convenient surrogate fuels
2nd
Step: Adapt or build kinetic mechanisms for the
surrogates (depending on required goals)
3rd
Step: Include chemical kinetic information into the CFD
code (complex, reduced, tabulated kinetics)
27. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201227
Levelofinformation
Simulationtime Simple chemistry (1 global
reaction): Reaction rate
Reduced chemistry
(~ 10 reactions): Heat
release, major species
Tabulated chemistry: HR,
tabulated species
Direct chemistry / CFD
coupling: HR, all mechanism
species
27
Complex kinetics and CFD: How to?
?? Stiffness
??HPC
28. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201228
Kinetic tabulation techniques
Major benefits:
Reproduction of fuel diversity, if kinetic mechanisms
available
Major species (heat release) available
Minor species – regulated and NR pollutants – available, if
tabulated
Fuel complex kinetics reproduced: eg. Double stage AI
Reduced implementation efforts and computing time
Coupling with reduced or detailed kinetics remains possible
Drawbacks:
Assumption of a system invariant, a priori, chemical
behavior
Which system to tabulate? Auto-ignition? Diffusion or
premixed flames?
Tabulation needs non dimensional time: Progress variable
29. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201229
TKI1
: A "simple" tabulation and
interpolation approach
Ti,pj,φl
Ti+1,pj,φl
Ti,pj+1,φl
1
, , , resc
T p Xω φ
÷
&
, , ,
k
c resT p Xω φ
÷
&
1
, , ,
k
c resT p Xω φ+
÷
&
c%
, , , resT p Xφ
1
( , )
k k
c c cfctω ω ω
+
=& & &
1
d
τ C1
Ti,pj+1,φl+1
Ti+1,pj,φl+1
No tunable
AI parameter
in the code
AI constant
pressure simulation
Input
Output
1
O. Colin et al., 30th
Int. Symp. Comb., 2004
30. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201230
TKI and reduced kinetics coupling: Diesel
injection timing1
CORK2
: Heat release
Zeldovich: NO
PSK: Soot
1
V. Knop et al., OGST, 2008
2
S. Jay et al., SAE, 2007
TKI: AI delay
31. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201231
Integration of
kinetic tabulations and turbulence1
1
G. Subramanian et al., SAE, 2007
Subramanian (PhD)
proposed the first TKI-
PDF model version at
IFPEN, including:
Tabulated kinetics
(fully tabulated
reaction rates)
PDF fuel/air mixing
A priori integration of
turbulence effects
His model set the
grounds for further
tabulated approaches
at IFPEN:
PhD Galpin (LES)
PhD Michel (ADF-
32. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201232
Tabulation of
AI delay Tabulation of
2 AI delays
FPI like tabulation models – progress variable
2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
Tabulation of delays and reaction rates TKI
PhD Subramanian Tabul.
of Reaction rates (RANS)
Laminar Fl
Speed (GSM)
PhD Galpin Tabul. of react.
rates and mass fract (LES)
PhD Michel Tabul diffusion
flames+PDF (RANS)
PhD Anderlohr Post-
oxidation (RANS)
PhD Mauviot (0D)
FPI + ECFM
(GSM)
FPI V cst (GSM)
FPI expansion (GSM)
FPI compression /
expansion (GSM)
FPI V variable +
fluctuations (GSM)
PhD Lecocq FPI + PDF +
ECFM (LES)
PhD Dulbecco (0D)
StrainLam Fl
Speed (ANR)
PhD Bouali FPI/DNS
PhD Bernard CO + NOx 0D
PhD Vervisch Soot + NOx
PhD Tillou Tabulated
diffusion flames+PDF (LES)
PhD Karkar Soot
100% IFPEN
IFPEN PhD Tab
Lam Fl Speed Tab
GSM Tab
Kinetic tabulated approaches at IFPEN
33. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201233
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
34. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201234
Conclusions
In the context of present and future severe
reduction of exhaust emissions and CO2 from
IC engines, simulation plays an important and
increasing role
3D IC engines CFD can help:
Studying more complex IC engines:
Combustion chamber geometries and technological
solutions
Complex operating conditions
Set boundary conditions for increasingly complex
after-treatment systems
Optimizing fuel diversity
Taking vehicle hybridization into account:
35. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201235
Highlights on IC engine CFD modeling
IC engines: Turbulent reactive flows
In RANS CFD, the intimate coupling between
turbulence and chemical kinetics must be
modeled:
Mixing and flame structures are subgrid
Turbulent structures are not simulated
Perfect stirred reactor kinetic assumptions are not
adapted
Flamelet assumptions can be used: eg. ECFM
model for premixed or partially premixed
flame propagation
Presumed PDF approaches are well fit for
36. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201236
My main contributions to IC engines CFD
Among the first attempts to couple chemistry and
turbulence in RANS models for auto-ignition and
diffusion flames, using a presumed PDF approach
(PhD)
Introduction of fuel complex chemistry into engine CFD
codes using tabulation techniques:
AI delay for diesel combustion and knock in SI engines
(Pires da Cruz, 2004)
Tabulation of progress variable reaction rates (Colin et
al., 2004)
First coupling of tabulated chemistry and turbulence
using a presumed PDF approach (Subramanian, 2005)
Modeling the complex kinetics of realistic diesel and
gasoline surrogate fuels (Anderlohr, 2009)
Construction of extensive experimental databases for
37. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201237
Overview
Emissions from transportation: A global issue
Engine CFD modeling
Turbulent combustion modeling
Chemical kinetic representation of surrogate
fuels
Coupling turbulence and chemical kinetics
Conclusions
Future trends on engine combustion modeling
38. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201238
How about the future?
HPC development during the last few years is
changing the engine CFD landscape:
It allows resolution of more complex geometrical
problems
It strongly reduces computing return time leading to use
of more discrete meshes and higher precision numerical
methods
More complex and CPU time consuming models can be
proposed, including complex chemical kinetics and
turbulence
LES and maybe DNS are gaining momentum:
For industrialization, large research efforts are required
In LES, turbulence/chemistry interactions are easier to
describe, but subgrid modeling is still necessary
In LES, the modeling effort is probably lower: More fit
39. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201239
Future of RANS IC engine modeling
RANS simulations are nevertheless still the most
industrial "friendly"
A priori integrated [chemistry/presumed PDF] has proven
to be a fair approach but requires tabulated kinetics
Tabulation techniques are becoming rather complex
when it comes to simulating IC engines (variable volume
and pressure, realistic flame configurations, multiple
object species, fuel diversity...)
Complex kinetics are now available for a large number of
realistic components – Tabulation techniques do not tend
to facilitate the use of chemistry in the future
Kinetic reduction techniques have also been largely
improved
How about further exploring mixed tabulation / reduced
40. 012-IFPEnergiesnouvelles
HDR – A. Pires da Cruz, IFP Energies nouvelles, November 15, 201240
Acknowledgements
T. Poinsot (PhD advisor, HDR correspondent) and all jury members
IFPEN and all my colleagues (present and former) at IFPEN, with
whom I worked closely during all these years (CFD, optical
diagnostics, engines, thermodynamics...)
My PhD students and their co-advisers (L. Vervisch, O. Colin, F.
Battin-Leclerc and R. Bounaceur)
My colleagues at ExxonMobil who helped me getting rid of my
chemical complex!
EM2C, CERFACS, CORIA, LRPG and all the other CNRS, university
and research laboratories colleagues with whom I have collaborated
All my former hierarchy and S. Henriot who have always provided the
maximum to granting a high quality R&D environment
Many thanks to those who have closely supervised my research work
through the years and who are absent today (P. Eyzat, T. Baritaud,
JM Duclos, A. Torres)
GSM, industrial partners, Ademe, ANR, EU... for financing
My family who put up with lack of evenings, weekends and holydays!
On s’est donc basé sur 3 blocs de réactions d’oxydation. En ce qui concerne les réactions des NOx avec les HC on a choisi le GRI-Mech 3.0. Concernant le toluène on a choisi le schéma d’oxydation proposé par Bounaceur et al.. Pour obtenir un modèle d’oxydation des PRF n-heptane et iso-octane on a généré schéma détaillé par le logiciel EXGAS. EXGAS est un générateur de schéma détaillé automatique et a été développé au DCPR à Nancy. Exgas consiste de 3 parties. Un mécanisme primaire qui prend en compte toutes réactions de carburant et des radicaux issus de son amorçage. Un mécanisme secondaire ou les produits lumpés du mécanisme primaire sont décomposes en espèces C1-C2 et une base de réaction détaillé d’espèces C1-C2.
Le schéma TRF-NOx obtenu ainsi a été testé face à une large gamme de facilités expérimentales. Je vous montre ici la validation de l’oxydation du n-heptane pour des résultat expérimentaux obtenu par Moréac et al. dans réacteur auto-agité. Le n-heptane a été oxydé à stoichiométrie et à 10 atmosphère. Le taux de dilution était 98%. 3 cas ont été testés. Un premier pour l’oxydation du n-heptane pure, un deuxième en présence de 50ppm de NO et un troisième en présence de 500ppm de NO.Résultats expérimentaux sont indiqués par des symboles, résultat simulés par des traits.En regardant le profile du n-heptane en fonction de la température, on observe qu’a basse température la présence du NO inhibe l’oxydation du n-heptane, au températures supérieurs à 650 K par contre cet effet est inversé.
Ceci est bien reproduit par le modèle et on observe un bon accord de la modélisation avec l’expérience.
Pour résumer les travaux de modélisation, ces travaux nous ont permis d’obtenir un modèle TRF/NOx. Ce modèle est validé sur une large gamme de conditions en réacteurs auto-agités, mais également en machines à compression rapide et des moteurs HCCI
Le mécanisme obtenu consiste de 500 espèces et 3000 réactions dont environ 400 décrivant les réactions HC-NOx.
Il existent de différents stratégies d’intégrer la chimie dans un code CFD. Chaqu’une a des différents niveaux de qualité en terme de détails d’information et coût de calculs. Dans notre cas on a opté pour une méthode de tabulation de la chimie qui garanti un très bon détail d’information et un cout de calcul acceptable.
Technological solutions are for example VVT and VVA, high pressure injection systems...
Complex OC are for example Miller cycles, variable compression ratio,
For example, probably easier to model dual fuel in LES???