This note describes how the FORTÉ Simulation Package can be used to include detailed chemistry in internal combustion engine simulations. The enhanced chemistry solution techniques in FORTÉ allow detailed chemistry to be efficiently included in the FORTÉ computational fluid dynamics (CFD) calculation. These enhancements allow designers to accurately predict ignition, emissions, combustion duration, and engine performance without sacrificing geometric fidelity and without compromising accuracy for solution efficiency.
2. HCCI Engine Performance Evaluation using
FORTÉ Simulation with Detailed Chemistry
fuel effects on either of these phenomena. With the advanced chemistry solvers and techniques in
FORTÉ, detailed finite-rate chemistry can now be included in CFD computations efficiently for accurate
prediction of emissions and important combustion phenomena, such as ignition timing, combustion
duration and fuel effects.
Model Overview and FORTÉ Setup
In this application note, we describe CFD simulations of an Oak Ridge National Laboratory (ORNL)
gasoline HCCI engine [1], in which a large number of diagnostic measurements have been made. The
engine experiments used an E30 gasoline surrogate blend and measured several trace gas species at
the exhaust [2,3]. The simulations focus on the inclusion of detailed finite-rate chemistry to predict
ignition and emissions.
The surrogate fuel used in both the model and experiments consists of 33% ethanol, 8.7% n-heptane,
and 58.3% iso-octane by weight. The detailed chemical kinetic mechanism used in the simulations
consists of 428 species and 2378 reactions. This mechanism was obtained by using a targeted
mechanism reduction of a well validated master kinetics mechanism for multiple gasoline surrogate-fuel
components, which consists of 3553 species and 14904 reactions [4]. The number of cells varied from
53,800 at intake valve close (IVC) to 10,600 at top dead center (TDC), which results in a total wall clock
time of approximately 17 hours using eight processors, which is reasonable for practical use in engine
design. Additional processors can reduce the simulation time, with an approximately linear scaling
between simulation time and the number of processors.
Details of the engine are shown in Table 1.
Table 1. ORNL Engine Specifications
Engine Specifications
Fuel Injection Port atomization
Geometric C.R. 14.5:1
Displacement (cm3) 517
Bore x Stroke (cm) 9.7 x 7
Connecting Rod Length (cm) 11
Bowl width, depth (cm) 8.7, 0.74
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IVC, EVO (CAD ATDC) -142, 139
Since there are no valves or spray-injection events with this case, the model can be simplified to a
sector (slice) of the engine. In this case, a one degree sector mesh is used for the CFD case. By
modeling a sector of the geometry, the computational overhead is greatly reduced and improves turn-
around time for running the case. The sector mesh consists of 53,800 computational cells with a mesh
length of 0.7mm or lower in the core zone, and a well resolved mesh near the boundaries and crevice.
A snapshot of the computational model with the mesh displayed is shown in Figure 1. If the case is not
symmetric or the intake and outtake valves are included, then the sector mesh simplification would not
be valid and the full three dimensional geometry would need to be modeled.
Figure 1. CFD Model with Mesh Displayed
One of the many defining features of FORTÉ are its advanced chemistry solving techniques. These
techniques allow the inclusion of detailed chemistry without sacrificing solution performance. The
techniques employed include dynamic adaptive chemistry (DAC) and dynamic cell clustering (DCC)
methods, as well as well as other proprietary advances. The DAC and DCC methods are discussed in
more detail below.
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Detailed reaction mechanisms consists of hundreds (or thousands) of species and thousands of
reactions, which allows them to make accurate predictions over a wide range of operating conditions,
such as pressure, equivalence ratio and temperature. However, only a small subset of these species
and reactions are relevant at any given point in time and space during the solution process, thus
creating an unnecessary computational overhead. Using dynamic adaptive chemistry in FORTÉ, the
detailed mechanism is reduced on-the-fly during the CFD computation. By analyzing the local
conditions of the system for a given time step and a given computational cell, the detailed mechanism
is reduced to obtain an appropriate set of species and reactions. Using DAC, the number of species
and reactions in play at any given time is reduced drastically.
Another method available to reduce the chemistry computation time in FORTÉ is the dynamic cell
clustering method. Typically, the chemistry equations are solved on a cell-by-cell basis during the CFD
computation. Given that the chemistry portion of the equation set is independent of the mass and
volume of a cell, it is possible to cluster together any cells that have kinetically similar properties, such
as temperature, pressure, and composition [5]. By clustering cells with similar properties, the typical
CFD cell-by-cell solution process is reduced to the number of unique clusters in the system. This
technique further reduces the computational overhead when using detailed chemistry. Figure 2 shows
the inputs for DAC and DCC in FORTÉ.
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5. HCCI Engine Performance Evaluation using
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Figure 2. Dynamic Adaptive Chemistry and Dynamic Cell Clustering Inputs in FORTÉ
In FORTÉ, the DAC and DCC methods can be used simultaneously for improved chemistry calculation
times without sacrificing accuracy. The speedup and accuracy are shown in the results section of this
application note.
FORTÉ HCCI Simulation Results
While prediction of emissions is essential, the accurate prediction of ignition and combustion duration is
also of particular importance. Figure 3 shows a comparison of predicted and measured pressure
profiles for three different IVC temperatures. The FORTÉ simulation results show the correct trends for
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both ignition and combustion duration when compared with the experimental results. In the 494K IVC
case, ignition occurs before TDC, while in the 472K case it occurs after TDC [1].
Figure 3. Comparison of predicted pressure profiles with experimental data. Dotted lines are engine data and solid lines
are FORTÉ predictions
In Figure 4, results are shown for combustion duration, mean fuel burn at 50% heat release (MFB50),
peak pressure, and mean fuel burn at 10% heat release (MBF10) for all three IVC temperatures. The
model predictions and data showed increasing combustion duration with retarded combustion phasing
(MBF50). The predicted trends for the model results agree well with the data, although there is some
difference at the lowest IVC temperature (472K).
Figure 4. Combustion duration, MFB50, MFB10, and peak pressure comparisons with experimental data
Detailed engine exhaust measurements were provided by ORNL for comparison to the simulation
results [2,3]. Of particular importance are the concentrations of NOx, CO, and unburned hydrocarbons
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(UHC). Figure 5 shows a comparison of NOx, CO, and UHC with varying combustion phasing that was
achieved by varying IVC temperatures. The results show higher UHC and CO concentrations at lower
IVC temperatures. The NOx concentrations are relatively low in this engine due to the fuel lean
conditions. In all cases, the simulation results compare well with the experimental data. Not only are
the trends captured, the detailed chemistry in the simulation accurately predicts the absolute values,
within the experimental uncertainty for such measurements.
Figure 5. Comparison of FORTÉ Simulation Results with Experimental Data for Unburned Hydrocarbons, NOx, and CO with
varying IVC Temperature
Data Model
UHC NOx
5000 40
4000
3000
ppm
ppm
20
2000
1000
0 0
460 470 480 490 500 460 470 480 490 500
IVC Temperature (K)
IVC Temperature (K)
CO
2500
2000
1500
ppm
1000
500
0
460 470 480 490 500
IVC Temperature (K)
While CO, NOx, and UHC are of particular interest, the inclusion of detailed chemistry in the FORTÉ
simulation allows for the prediction of other trace species. Figure 6 shows the prediction of
formaldehyde and acetaldehyde as a function of IVC temperature with the trends in agreement with the
data.
Figure 6. Comparison of model predictions for formaldehyde and acetaldehyde as a function of IVC temperature
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8. HCCI Engine Performance Evaluation using
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The model predictions were obtained using a 428 species, 2378 reaction mechanism in conjunction
with the dynamic adaptive chemistry (DAC) and dynamic cell clustering (DCC) options available in
FORTÉ. The DAC option performs an on-the-fly mechanism reduction during the simulation which
results in fewer active species during a time-step, as shown in Figure 7.
Figure 7. Number of Active Species During the Simulation using Dynamic Adaptive Chemistry (DAC)
500
Active number of
400
species Master Maximum
300 mechanism
200
100
Average Minimum
0
-50 0 50
Crank angle
The average number of species during the calculation is approximately half of the 428 species
mechanism, which significantly increases the speed of the computation. Using DCC, the computational
time is further reduced by lumping cells of similar thermo-chemical states before solving the kinetic
equations. Figure 8 shows the number of cells in the CFD model and the number of clusters used
during the simulation.
Figure 8. Number of Cells in the Model and Number of Clusters Used for Chemistry Calculations
Number of cells/clusters
10000
1000 Number of
cells
100
Number of clusters
10
-50 0 50
Crank angle
The total number of clusters used to solve for chemistry is an order of magnitude smaller than the total
number of cells in the computational domain. This results in a significant increase in computational
savings.
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9. HCCI Engine Performance Evaluation using
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Summary
The inclusion of detailed chemical kinetics in CFD simulations is essential for accurately predicting
emissions concentrations and combustion performance. In the past, the solution time for including
detailed chemistry was prohibitive for use in the commercial design market. With the advanced solution
techniques in FORTÉ, e.g., dynamic adaptive chemistry and dynamic cell clustering, this limitation has
been greatly reduced. These improvements increase the computational efficiency and accuracy for
engine design, which leads to improved understanding of combustion phenomena and shortened
design cycle times.
References
[1] Puduppakkam, K., et al., Predicting Emissions Using CFD Simulations of an E30 Gasoline
Surrogate in an HCCI Engine with Detailed Chemical Kinetics. Submitted to the SAE 2010 Congress,
10PFL-0708, 2010.
[2] Bunting, B., et al., Detailed HCCI Exhaust Speciation – ORNL Reference Fuel Blends, in Directions
in Engine-Efficiency and Emissions Research (DEER) Conference. 2009.
[3] Bunting, B.G., et al., A Comparison of HCCI Engine Performance Data and Kinetic Modeling
Results over a Wide Range of Gasoline Range Surrogate Fuel Blends, in Directions in Engine-Efficiency
and Emissions Research (DEER) Conference. 2009.
[4] Naik, C.V., et al., Applying Detailed Kinetics to Realistic Engine Simulation: the Surrogate Blend
Optimizer and Mechanism Reduction Strategies. Submitted to the SAE 2010 Congress, 10PFL-0131,
2010.
[5] Liang, L., et al., Efficient Simulation of Diesel Engine Combustion Using Realistic Chemical
Kinetics in CFD. Submitted to the SAE 2010 Congress, 10PFL-0056, 2010.
About Reaction Design
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