AVL-BOOST COMBUSTION MODELS
Spatial Discretization
Single Zone
(Zero-Dimensional)
Two Zone
(Quasi-Dimensional)
Ignition Type (Mixture Preparation)
Spark Ignition
Compression Ignition
ROHR Type
ROHR Input
ROHR predicted by Combustion Model
Source
Standard BOOST
User Coding
SPATIAL DISCRETIZATION / SINGLE ZONE
Governing
Equations
Energy Conservation
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d
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c c cm
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Perfect Gas Equation
Thermodynamic State Vector
c c c c cC
T
p
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FV CP FB C cmf
mf
mf
C
n G cmf
mf
mf
C
.
1 1
Classic / General Species Transport
C
c C/GSPATIAL DISCRETIZATION / TWO ZONE /1
Energy Conservation for burned and unburned Zone
b b b u u u
c
m
R
T
m
R
T
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p
1
Perfect Gas Equation
Thermodynamic State Vector
burned cS
S
S
d
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h
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b BB b BB b u Wb F b c b b , ,
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BBu u BB b u Wu u c u u , , b b b b cu
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bVibe Single Zone
ROHR Approach Parameter Data Source
Fitting Result of Combustion Analysis Tool (BOOST-Burn) Experience
11
m y a m c BT Be
y
m
a
Q
d
dQ
c oy
... Combustion Progress
0 11
m a BT BQ
e
Q
Released EnergyROHR INPUT FOR SPARK IGNITION ENGINES /2
Table Single Zone
Data Source
Result of Combustion Analysis Tool (BOOST-Burn)
Adaptation
For physical reasons preprocessing performed to guarantee monotonic increase of Fuel Burned
ROHR INPUT FOR SPARK IGNITION ENGINES /3
Hires et al
Required Input
Vibe Combustion Parameters and Ignition Delay for Reference Operating Point
Vibe Two Zone / Table Two Zone
Same ROHR Approach as for Single Zone
State Vector of Burned Zone allows to calculate:
NOx Production (Extended Zeldovich) CO Production
(Onorati)
State Vector of Unburned Zone allows to calculate:
Required Octane Number
a t t T B n MFB S OC UBZ
dt
e
p
A
ON
1 % 8 51
100
Model Approach for Variation of Ignition Delay and Combustion Duration dependent on Engine Speed 3 / 2 3 / 1 ,
s
s
f
f
n
n
ref ref ref ref c c
3 / 2 3 / 1
s
s
f
f
n
n
id
id
ref ref ref refs ... laminar flame speed
PREDICTED ROHR FOR SPARK IGNITION ENGINES /1
FRACTAL COMBUSTION MODEL
Motivation
All mentioned ROHR Types require input based on experimental data which
show usually a strong dependency on the operating point (speed,
load-signal) of the engine.
For optimization issues (variable valve timing, engine control strategies, ...) a
predictive combustion model which handles the influence of residual gas
content and charge motion is required.
This requirement can be fulfilled in a wide operation point range by the new
introduced Fractal Combustion Model
PREDICTED ROHR FOR SPARK IGNITION ENGINES /2
FRACTAL COMBUSTION MODEL
Characteristics /1
The Fractal Combustion Model is based on a physical model of the flame front
propagation:
Geometric Combustion Chamber Input Data leads to a Relation between Piston Position, Geometric Free Flame Surface and Burned Zone Volume
Increase of Burned Zone Volume is a function of Laminar Burning Speed and Geometric Free Flame Surface.
A Simple multiplication => to small values because
The flame front is a very thin and highly wrinkled surface (wrinkled-flamelet
PREDICTED ROHR FOR SPARK IGNITION ENGINES /3
FRACTAL COMBUSTION MODEL
Characteristics /2
This wrinkling effect is driven by the in-cylinder turbulent flow and chiefly
responsible for the increased burning rate. The relation between geometric free and
effective (highly wrinkled) flame area can be described by a fractal structure.
Fractal is a mathematical method
describing irregular geometry with self similarity (length of British coast?). Mandelbrot Set
Burned Gas
Unburned Gas
S
LS
LS
Lu’
L
PREDICTED ROHR FOR SPARK IGNITION ENGINES /9
FRACTAL COMBUSTION MODEL
Extension to stratified charge
• Input possibility for 1D distribution of
fuel vapor and combustion product
concentration (stratified charge) in
the direction of flame propagation
• 1D distribution can be imported from
AVL FIRE in-cylinder simulation
(standard output )
PREDICTED ROHR FOR SPARK IGNITION ENGINES /10
FRACTAL COMBUSTION MODEL
Project Experience
• The fractal combustion model has the
potential to predict the influence of the
valve timing variation on the rate of heat
release.
• Out of 7 parameters for the combustion
model only the
2 turbulence parameters
are function of engine speed and valve
timing.
• The tuning of the turbulence parameter is
based on 3D CFD results.
BSFC [g/kWh]
PREDICTED ROHR FOR SPARK IGNITION ENGINES /11
OPEN CHAMBER GAS ENGINE COMBUSTION MODEL
Main features:
2 Zone (unburned/burned) flame propagation model
Arrhenius / Magnussen approach
combination for ignition delay simulation
In-cylinder turbulence level (used for the relation between laminar and turbulent flame speed) is sourced by swirl and squish flow
Combined with BOOST Classic Gas Properties Preparation Tool which allows to generate properties for arbitrary fuel blends (e.g. lean gas as mixture of CH4, CO2, …), as alternative to general
ROHR INPUT FOR COMPRESSION IGNTION ENGINES /1
Vibe Single Zone
ROHR Approach Parameter Data Source
Fitting Result of Combustion Analysis Tool (BOOST-Burn) Experience
11
m y a m c BT Be
y
m
a
Q
d
dQ
c oy
... Combustion Progress Evaporation Assumption ROE (Rate of Evaporation) is direct linked to ROHR
d
dQ
H
d
dm
FV
1
BROHR INPUT FOR COMPRESSION IGNTION ENGINES /2
Double Vibe (Single Zone)
ROHR ApproachSuperposition of 2 Vibe
Functions to meet Premixed Combustion Peak and/or more Complex Injection Strategies
Parameter Data Source
Fitting Result of Combustion Analysis Tool (BOOST-Burn) Experience 2 1 Vibe B Vibe B B
d
dQ
d
dQ
d
dQ
ROHR INPUT FOR COMPRESSION IGNTION ENGINES /3
Woschni/Anisits
Vibe Two Zone / Table Two
Zone
Same ROHR Approach as for Single Zone
State Vector of Burned Zone allows to calculate: NOx Production (Extended Zeldovich) CO Production (Onorati) Soot Production (Bolochous)
Table Single Zone
Identical to spark ignition engines +
Evaporation Assumption
Required Input
Vibe Combustion Parameters and Ignition Delay for Reference Operating Point
Model Approach for Variation of Combustion Duration and Vibe Parameter m dependent on Engine Speed and Ignition Delay
5 . 0 6 . 0 ,
ref ref ref c cn
n
AF
AF
3 . 0 , , 6 . 0
ref IVC ref IVC ref IVC IVC ref refn
n
T
T
p
p
id
id
m
m
Ignition delay according to relations found by Andree and Pachernegg (exceeding
PREDICTED ROHR FOR COMPRESSION IGNTION ENGINES /1
AVLMCC COMBUSTION MODEL
AVLMCC Combustion Model
Model ApproachMixture controlled combustion (MCC) part of heat release is controlled by fuel
quantity available and the spray induced turbulent kinetic energy density.
Premixed combustion
is modeled by a vibe function which parameters are determined from the ROI (Rate of Injection) considering Ignition delay.
Combustion process stages Injection
Turbulence Evaporation Ignition Delay Combustion
PREDICTED ROHR FOR COMPRESSION IGNTION ENGINES /4
AVL MCC COMBUSTION MODEL
PL1 SB1 SB2 MP1 MP2 MP3 MP4 MP5 MP6 MP7 MP8 MP9 MP10 MP11 MP12 MP13 MP14 MP15 MP16 MP17 MP18 MP19 MP20 CO1 TC1 J1 J2 J3 J4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 CO2 CAT1 22 R1 CO3 23 24 25 J5 26 27 J6 J7 28 R2 29 30 C1 C2 C3 C4 C5 C6 MP21 MP22 MP23 MP24 R3 31 CL1 32 MP25 R4 33 p_11, T_11 p_21, T_21 p_2_1, T_2_1 p_IM , T_IM p_41, T_41, NOx_S1, ... Intake Throttle EGR Valve p_EGR, T_EGR T_EGRHEO p_31_1, T_31_1 p_31_2, T_31_2 TAZ6 TAZ2 TAZ3 Wastegate Air Cleaner Charge Air Cooler Exhaust Gas Treatment Devices Intake M anifold R O H R [ J /d e g ] 20 40 60 80 100 120 140 160 180 200 Basis1_Ah_0038.50%.1800 Basis1_Ah_0038_MCC.50%.1800
1-zonig Analyse der 1-zonigen Sim. 1-zonig Analyse der 2-zonigen Sim.
Engine Speed rpm 1800.0 Compression Ratio - 18.500 Energy Balance - 1.0149 Burn_bst_MCC_Ah38_B50.cly BMEP [bar] 8.8542 BMEP [bar] 9.0688 MFB10 [deg] 7.4354 MFB10 [deg] 6.7318 MFB50 [deg] 16.648 MFB50 [deg] 16.089 MFB90 [deg] 31.985 MFB90 [deg] 27.916
Calibration
Parameters
Cmod combustion constant Cdiss dissipations constant Cturb turbulent constant
CNO NOx formation constant Cign ignition delay constant
Project Experience
Parameters are engine specific but
for than valid for a wide range
PREDICTED ROHR FOR COMPRESSION IGNTION ENGINES /5
HCCI COMBUSTION MODEL
Single Zone HCCI
Simulation based on General
Species Transport
CHEMKIN compatible
no CHEMKIN needed
arbitrary no. of species (CO,
CO2, H2, O, H, ...)
arbitrary no. of chemical
reactions (two sets for unburned
and burned Zone Chemistry)
C7H16 + O2 = C7H15-1 + HO2 2.500E+13 0.0 48810.0 C7H16 + O2 = C7H15-2 + HO2 2.800E+14 0.0 47180.0 C7H16 + H = C7H15-1 + H2 5.600E+07 2.0 7667.0 C7H16 + H = C7H15-2 + H2 4.380E+07 2.0 4750.0 C7H16 + OH = C7H15-1 + H2O 8.600E+09 1.10 1815.0
nSpcGas i i i Fd
dw
u
d
dQ
1
PREDICTED ROHR FOR COMPRESSION IGNTION ENGINES /6
HCCI COMBUSTION MODEL
6 Zone HCCI Combustion
6 zones
General species transport
Non uniform species distribution in
zones
2 Heat Transfer
Zone to zone (engery potential
driven)
Boundary zone to wall
Isooctane mechanism (~291 species
875 reactions in CHEMKIN Format)
BOOST CLASSIC / GENERAL SPECIES TRANSPORT
Utilites
Calculated
ROHR
Pre-defined
ROHR
Classic
General
Vibe (1zone, 2zone, Hires,...)
Table (1zone, 2zone)
Diesel: MCC
Gasoline: Fractal
HCCI
-
User Coded Combustion Models
Set Conditions at SHP
General Species Transport • Flexibility
• CHEMKIN Chemistry can be used comfortably in BOOST (HCCI) • Coupling of Combustion-, Emission- and Aftertreatment models