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Gasoline Compression Ignition: Optimizing Start of Injection Time Joseph A. Insley * Argonne National Laboratory Janardhan Kodavasal Argonne National Laboratory Xiaochuan Chai Convergent Science, Inc. Kevin Harms Argonne National Laboratory Marta Garc´ ıa Argonne National Laboratory Sibendu Som Argonne National Laboratory ABSTRACT In this work, we present visualization of a high-fidelity internal combustion engine computational fluid dynamics simulation. This engine operates in an advanced combustion mode called Gasoline Compression Ignition, where gasoline is used as a fuel in a diesel engine without the use of a spark plug, to combine the high ef- ficiency associated with a diesel engine with low soot emissions associated with gasoline fuel. Further, combustion is a result of se- quential autoignition without propagating flames, resulting in low temperature combustion which in turn significantly reduces nitro- gen oxides emissions. The fuel injection timing (in other words, the point in time when the fuel is introduced into the engine cylinder) is a critical parameter determining the ignitability of the gasoline-air mixture, and thus engine operation stability. Four different start of injection (SOI) timings were evaluated through computational fluid dynamics simulation. The simulations confirmed the experimental findings of a “sweet spot” in SOI timing, where most stable combustion was achieved. The engine experiments were unable to explain the reason for the non-monotonic behavior of stability with relation to SOI timing, since the combustion chamber of the engine is not optically accessi- ble. However, the visualization of the simulations performed in this work were critical in explaining this behavior. It was seen from the visualizations that earlier SOI timings resulted in the fuel being di- rected into the “squish” region of the engine combustion chamber, resulting in greater heat losses, and lower reactivity and stability. On the other hand, later SOI timings did not provide enough time for the gasoline to chemically react and ignite in a stable fashion. This insight is critical in terms of determining optimum fuel injec- tion strategies to enable stable operation of gasoline fuel in gasoline compression ignition mode. Index Terms: J.2 [Computer Applications]: Physical Sci- ences and Engineering—Engineering; I.6 [Computing Methodolo- gies]: Simulation and Modeling—applications, simulation output analysis; I.3.8 [Computer Applications]: Computer Graphics— Applications 1 I NTRODUCTION Low temperature combustion (LTC) provides a pathway to achieve low engine-out emissions along with high thermal efficiencies. Gasoline Compression Ignition (GCI) is a promising new advanced combustion mode that falls under the broad category of LTC, and is a critical part of the overall Department of Energy (DOE) mission of improving energy security through reduced fuel consumption, while simultaneously reducing emissions. GCI achieves diesel-like or better efficiencies as a result of throttle-less, lean, and cooler operation. This mode also produces very low soot (due to better * e-mail:[email protected] e-mail:[email protected] e-mail:[email protected] mixing of gasoline) and very low nitrogen oxides (NOx) emissions (due to low combustion temperatures and absence of flames) com- pared to conventional diesel combustion. Combustion is a result of sequential autoignition, based on reactivity stratification [5, 7, 6], without significant flame propagation. The goal of GCI is to con- trol autoignition timing by manipulating fuel-air equivalence ratio stratification levels within the cylinder. The gasoline fuel is ignited purely by compression, without the aid of a spark plug, in order to avoid propagating flames, and keep combustion temperatures and NOx emissions low. Injection strategy is key to facilitate autoigni- tion of gasoline, which is a relatively less reactive fuel with a high octane number, purely through compression. The goal is to use the injection system to make the gasoline-air mixture as reactive as possible by means of achieving optimal fuel distribution within the engine cylinder. Engine simulation is a valuable tool that can aid the development of advanced combustion modes such as GCI. In our work, simulations are performed based on a 4-cylinder tur- bocharged 1.9L General Motors diesel engine at Argonne National Laboratory that has been minimally modified to run on gasoline un- der the GCI combustion mode [3]. The simulations correspond to an experimental start of injection (SOI) timing sweep, however, in the simulations, unlike in the experiments, the effect of SOI was isolated by keeping all other initial and boundary conditions fixed (this is hard to achieve experimentally, especially in a production engine setup). The objective was to understand and explain the ex- perimental findings of a “sweet spot” in SOI timing that resulted in best combustion stability under low load engine operating con- ditions. The simulations reproduced this experimental observation, and further, the high-fidelity visualization performed in this work provided critical insights into the fuel distribution within the engine cylinder with different injection timings. The insights from visual- ization done in this work were key to explaining the reason behind the non-monotonic relationship between combustion stability and SOI timing, which could not be explained purely from experimen- tal measurements. This work provided guidance for tailoring fuel injection timing for stable operation of a diesel engine on gasoline in the GCI mode. 2 SIMULATION SETUP The CFD software used in this work is CONVERGE TM [12] ver- sion 2.1, which is a commercial general purpose CFD code for sim- ulating three-dimensional reacting flows with stationary or mov- ing boundaries. A dynamic-structure large-eddy simulation (LES) model [9] is used in this work to model the in-cylinder turbulence. A Lagrangian spray model based on the “blob” injection method of Reitz and Diwakar [11] is used wherein computational “parcels” of liquid (which represent collections of identical fuel droplets) with a characteristic size equal to the effective nozzle diameter are intro- duced into the computational domain. The subsequent breakup and atomization of the liquid blobs and resulting droplets is modeled using the Kelvin-Helmholtz and Rayleigh-Taylor instability mecha- nism. Grid generation is done during run-time with the ability to in- clude fixed embedding of cells (increasing grid resolution over the base mesh size a priori in regions of interest such as along the walls and near the nozzle) as well as adaptive mesh refinement based on

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Gasoline Compression Ignition: Optimizing Start of Injection TimeJoseph A. Insley∗

Argonne National LaboratoryJanardhan Kodavasal†

Argonne National LaboratoryXiaochuan Chai‡

Convergent Science, Inc.Kevin Harms

Argonne National Laboratory

Marta Garcı́aArgonne National Laboratory

Sibendu SomArgonne National Laboratory

ABSTRACT

In this work, we present visualization of a high-fidelity internalcombustion engine computational fluid dynamics simulation. Thisengine operates in an advanced combustion mode called GasolineCompression Ignition, where gasoline is used as a fuel in a dieselengine without the use of a spark plug, to combine the high ef-ficiency associated with a diesel engine with low soot emissionsassociated with gasoline fuel. Further, combustion is a result of se-quential autoignition without propagating flames, resulting in lowtemperature combustion which in turn significantly reduces nitro-gen oxides emissions. The fuel injection timing (in other words, thepoint in time when the fuel is introduced into the engine cylinder) isa critical parameter determining the ignitability of the gasoline-airmixture, and thus engine operation stability. Four different start ofinjection (SOI) timings were evaluated through computational fluiddynamics simulation.

The simulations confirmed the experimental findings of a “sweetspot” in SOI timing, where most stable combustion was achieved.The engine experiments were unable to explain the reason for thenon-monotonic behavior of stability with relation to SOI timing,since the combustion chamber of the engine is not optically accessi-ble. However, the visualization of the simulations performed in thiswork were critical in explaining this behavior. It was seen from thevisualizations that earlier SOI timings resulted in the fuel being di-rected into the “squish” region of the engine combustion chamber,resulting in greater heat losses, and lower reactivity and stability.On the other hand, later SOI timings did not provide enough timefor the gasoline to chemically react and ignite in a stable fashion.This insight is critical in terms of determining optimum fuel injec-tion strategies to enable stable operation of gasoline fuel in gasolinecompression ignition mode.

Index Terms: J.2 [Computer Applications]: Physical Sci-ences and Engineering—Engineering; I.6 [Computing Methodolo-gies]: Simulation and Modeling—applications, simulation outputanalysis; I.3.8 [Computer Applications]: Computer Graphics—Applications

1 INTRODUCTION

Low temperature combustion (LTC) provides a pathway to achievelow engine-out emissions along with high thermal efficiencies.Gasoline Compression Ignition (GCI) is a promising new advancedcombustion mode that falls under the broad category of LTC, and isa critical part of the overall Department of Energy (DOE) missionof improving energy security through reduced fuel consumption,while simultaneously reducing emissions. GCI achieves diesel-likeor better efficiencies as a result of throttle-less, lean, and cooleroperation. This mode also produces very low soot (due to better

∗e-mail:[email protected]†e-mail:[email protected]‡e-mail:[email protected]

mixing of gasoline) and very low nitrogen oxides (NOx) emissions(due to low combustion temperatures and absence of flames) com-pared to conventional diesel combustion. Combustion is a result ofsequential autoignition, based on reactivity stratification [5, 7, 6],without significant flame propagation. The goal of GCI is to con-trol autoignition timing by manipulating fuel-air equivalence ratiostratification levels within the cylinder. The gasoline fuel is ignitedpurely by compression, without the aid of a spark plug, in order toavoid propagating flames, and keep combustion temperatures andNOx emissions low. Injection strategy is key to facilitate autoigni-tion of gasoline, which is a relatively less reactive fuel with a highoctane number, purely through compression. The goal is to usethe injection system to make the gasoline-air mixture as reactiveas possible by means of achieving optimal fuel distribution withinthe engine cylinder. Engine simulation is a valuable tool that canaid the development of advanced combustion modes such as GCI.In our work, simulations are performed based on a 4-cylinder tur-bocharged 1.9L General Motors diesel engine at Argonne NationalLaboratory that has been minimally modified to run on gasoline un-der the GCI combustion mode [3]. The simulations correspond toan experimental start of injection (SOI) timing sweep, however, inthe simulations, unlike in the experiments, the effect of SOI wasisolated by keeping all other initial and boundary conditions fixed(this is hard to achieve experimentally, especially in a productionengine setup). The objective was to understand and explain the ex-perimental findings of a “sweet spot” in SOI timing that resultedin best combustion stability under low load engine operating con-ditions. The simulations reproduced this experimental observation,and further, the high-fidelity visualization performed in this workprovided critical insights into the fuel distribution within the enginecylinder with different injection timings. The insights from visual-ization done in this work were key to explaining the reason behindthe non-monotonic relationship between combustion stability andSOI timing, which could not be explained purely from experimen-tal measurements. This work provided guidance for tailoring fuelinjection timing for stable operation of a diesel engine on gasolinein the GCI mode.

2 SIMULATION SETUP

The CFD software used in this work is CONVERGETM [12] ver-sion 2.1, which is a commercial general purpose CFD code for sim-ulating three-dimensional reacting flows with stationary or mov-ing boundaries. A dynamic-structure large-eddy simulation (LES)model [9] is used in this work to model the in-cylinder turbulence.A Lagrangian spray model based on the “blob” injection method ofReitz and Diwakar [11] is used wherein computational “parcels” ofliquid (which represent collections of identical fuel droplets) with acharacteristic size equal to the effective nozzle diameter are intro-duced into the computational domain. The subsequent breakup andatomization of the liquid blobs and resulting droplets is modeledusing the Kelvin-Helmholtz and Rayleigh-Taylor instability mecha-nism. Grid generation is done during run-time with the ability to in-clude fixed embedding of cells (increasing grid resolution over thebase mesh size a priori in regions of interest such as along the wallsand near the nozzle) as well as adaptive mesh refinement based on

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gradients in key parameters. The SAGE detailed chemistry solver[14] has been used for the simulations in this study with chemistrybeing solved in every cell. More details about these standard mod-els can be found in [12].

This software, which is widely used in the automotive industryfor engine simulation, is typically run on 8 to 64 cores on standardLinux clusters. The mesh is cut-cell Cartesian. Typical mesh sizesused are on the order of 100,000 to 1 million computational cells.In this work, however, the peak computational cell count is over25 million. The four “one-off” simulations visualized in this workwere each run on 256 cores of a standard Linux cluster, which hasa total of 2560 cores. It must be noted that this constitutes a sig-nificant portion of the overall cluster, and would not be practicalfor production use in industry, since job throughput would be un-acceptably low when large scale design and optimization sweeps,on the order of hundreds of simulations are required. To this end,we have also been working on porting these simulations onto su-percomputing architecture, and have scaled these simulations onup to 4096 cores on an IBM Blue Gene/Q (BG/Q) supercomputer,Mira, at Argonne National Laboratory, which has a total of 786,432cores. Further, moving towards more high-fidelity simulations in-volving multiple engine cylinders would take the cell counts to theorder of 100 million cells, at which point these simulations can nolonger be run on typical high performance computing clusters, evenif the whole machine is utilized for a single run. In order to scale thecode on Mira, computational bottlenecks related to I/O, communi-cation, and load balancing were identified and addressed in one ofour previous preliminary studies, and reported in [4].

3 VISUALIZATION WITH PARAVIEW

As the mesh sizes used in these simulations continue to grow, so dothe resulting datasets, making them impractical to move to a localworkstation for visualization, as is typically done in this commu-nity. It must be noted that within the automotive industry, CFD sim-ulations are typically performed with coarse meshes using simpli-fied turbulence models, such as Reynolds-averaged Navier Stokeswhich smooth out local turbulent structures. Further, when onlya sector of the mesh is simulated versus the full 360 degree high-fidelity simulations done in this study, plume to plume variations infuel spray are not captured. To support both remote parallel visu-alization for interactive data exploration and batch mode renderingfor movie generation, we make use of the open source tool Par-aView [1]. The CONVERGE software writes out data in a propri-etary format and provides a utility, called post convert, for convert-ing this data to a variety of other formats for post-processing analy-sis and visualization in other tools. Among these formats is vtk (Vi-sualization Toolkit). Working with the developers of post convert anumber of improvements were made to the vtk conversions to bettersupport visualization with ParaView.

3.1 Improvements to CONVERGEThe vtk format contains metadata, including endianness, to ensureportability of vtk data sets across architectures. The CONVERGEsoftware is generally run on little endian resources. When the soft-ware was ported to the IBM BG/Q, a big endian machine, it wasdiscovered that the post convert tool was not checking the archi-tecture, and always indicated that the data was little endian whenwriting vtk files. This issue has since been remedied.

These CFD simulations produce several different types of data.In addition to the unstructured grid which contains the mesh usedfor the LES model, there is also particle data used in modeling thespray of the fuel droplets. Along with the position of these fueldroplets, other variables include the velocity and droplet radius,which are important for understanding the behavior of the spray,particularly in relation to soot emission formation. These variableswere included in the vtk files produced by the post convert util-

ity, but were attributed as cell data, rather than point data, whichresulted in this data not being accessible to ParaView. This wasresolved by associating it with point data, enabling ParaView to ac-cess and render it. (See Figure 1.)

Figure 1: Glyph representation of the spray droplets, colored andscaled by the droplet radius.

While processing a series of time steps, post convert would in-clude the crank angle in the filename of the vtk files that it wrote.While this is useful metadata, having it as part of the filename wasless useful, for two reasons. First, ParaView can identify and treata group of data files as a time series, if the filenames are consistentand numbered sequentially. The inclusion of the crank angle in thefilename throws off this pattern recognition, making it difficult toview as a time series. Also, if the crank angle is only included inthe filename, and not within the metadata in the vtk file, it is not ac-cessible to ParaView. Therefore, the crank angle was removed fromthe filename, and the FieldData attribute was used to include boththe crank angle and the time stamp value in the vtk file, makingthem available to ParaView.

3.2 Animation ProductionThe animation produced in this work comes from data from a casestudy investigating the effects of the SOI on the stability of combus-tion. The details of this study are discussed in the following section.Here we describe the work that was done to process and visualizethe resulting data.

The study consists of 330 time steps (based on crank angle) foreach of four different SOI timing values. The simulation data foreach of these SOI cases totals ∼ 400 GB. The grid size and numberof time steps used here are considerably larger than those typicallyused. The post convert utility is a serial code, targeted at smallerproblem sizes, and takes several minutes to process each of thetime steps from our case studies. If run serially on a single pro-cessor it is estimated that running post convert would have taken ∼3.67 days to convert all times steps of all SOI cases to the vtk for-mat used in our visualizations. By utilizing 32 nodes of a modestcompute cluster, with each node converting different subsets of thetime steps in parallel, this time was reduced to ∼ 2.75 hours. Asthe fidelity and complexity of the models increase, parallelizationof the post convert utility will become critical.

This conversion resulted in ∼ 1.1 TB of vtk data for each of thefour SOI cases. There are two variables, of the many variables com-puted on the unstructured grid, that are of particular interest in thesestudies, i.e. temperature and equivalence ratio. Cut planes throughthe computational grid are used to visualize these variables. Fueldroplets are represented by point glyphs, and colored by the dropletradius. Rendering times of individual frames varies considerablybased on the mesh size, which changes based on current crank an-gle. However, similar to the post convert step, overall rendering

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time was greatly reduced by exploiting parallelism. In this steprendering both variables for all 330 time steps of all four SOI caseswas achieved by simultaneously running multiple instances of Par-aView to render subsets of frames in batch mode on multiple nodesof Tukey, a high performance visualization cluster at Argonne Na-tional Laboratory.

The result of all of this rendering was eight stacks of frames; thetime series for temperature and equivalence ratio for each of thefour SOI cases. A combination of post-processing tools, includ-ing ImageMagick and the Adobe Creative Suite of tools, was usedto combine these frames in various ways, and add annotations, toproduce several animations. In addition to the one presented here,which compares the temperature field from the four SOI cases, an-other animation compares both temperature and equivalence ratiofor two of the four SOI cases. (See Figure 2.)

Figure 2: Cut planes through the chamber above the piston showtemperature (top) and equivalence ratio (bottom) for two different SOIcases. Point glyphs represent fuel droplets, colored by droplet radius.

4 CASE STUDY

The CFD model consists of a 360-degree mesh representing a sin-gle cylinder of a four-cylinder GCI prototype engine at ArgonneNational Laboratory. Only the closed portion of the engine cycleis modeled, and the simulations are started at intake valve closing(IVC) and run through the spray and combustion processes. A basemesh size of 0.6 mm is used from IVC up to a little before in-jection, and subsequently, a uniform mesh size of 0.15 mm is usedthroughout the domain from right before SOI to all the way throughcombustion to have a high degree of spatial resolution while simu-lating the fuel-air mixture formation and combustion processes. Apicture of the mesh, showing the fuel spray, “squish” region (theregion between the top land of the piston and the cylinder head),and piston bowl region is provided in Figure 3.

It has been found experimentally, that there is a “sweet spot” inSOI timing, at which there is an increase in stability of combustionunder these low-load conditions, where it is a challenge to ignitegasoline purely through compression, without the aid of a sparkplug. The experiments showed that under these low load engine op-erating conditions, an SOI timing of -30◦ (relative to the “top deadcenter” position of the piston, which represents 0◦) resulted in themost stable combustion. When the SOI timing was either advancedor retarded compared to this value, combustion stability degraded.The reason for this non-monotonic relationship between combus-tion stability and SOI timing was unclear based on the experimentalmeasurements, which could not give us an idea of the actual spatialfuel distribution within the engine cylinder as a function of time.The motivation behind the simulations at the different SOI timingswas to first evaluate if the simulations capture the non-monotonicexperimental trend, and secondly to use high-fidelity visualizationof these simulations to understand the impact of SOI timing on fuel

distribution within the engine cylinder, and subsequent effect onignitability and stability.

The simulations performed in this work are representa-tive of a low-load engine operating condition, with 9.68mg/fuel/cylinder/cycle, and a brake mean effective pressure of 2bar. The engine speed is 1500 revolutions per minute and four dif-ferent SOI timings were simulated: -36◦, -35◦, -30◦, and -24◦. Theactual injection timing in the CFD simulation is delayed by 3◦ toaccount for injector dynamics.

Figure 4 shows the impact of injecting fuel earlier than the opti-mum timing of -30◦. In both the cases, the fuel is directed into the“squish” region of the cylinder, an area where heat losses are thehighest due to a high surface area to volume ratio. The fuel injectedin this region suffers a loss in reactivity due to the high rates of heatloss, and becomes harder to ignite. Figure 5 shows the fuel spraytargeting when later injection timings of -30◦ and -24◦ are used.In both these cases, the fuel is contained within the hotter “bowl”region of the piston, which is desirable for maintaining reactivityof the fuel. However, from Figure 6, it can be seen that the -30◦case ignites ahead of the -24◦ case. This can be explained basedon the fact that the -30◦ case allows more time for the fuel to re-act within the cylinder compared to the -24◦ case (specifically thetime equivalent to 6◦ of crank revolution). Thus, when the fuel isretained within the hot, reactive bowl of the piston, with later in-jections, the factor that then determines ignitability is the amountof time the fuel has had to react, which is higher with earlier in-jections. This explains the non-monotonic “sweet spot” behavior,where under these operating conditions, the -30◦ case is late enoughto avoid spraying fuel into the less reactive squish region, while itis still early enough to allow more chemical residence time for thefuel to react with the air and ignite stably.

Figure 3: CFD domain shown during injection of fuel along with the“squish” and “bowl” regions of the combustion chamber.

Figure 4: Earlier injections direct the fuel spray into the less reac-tive “squish” region, which suffers high rates of heat loss, reducingignitability of the mixture.

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Figure 5: Later injections retain all the fuel within the hot, reactivepiston bowl, thus increasing ignitability of the mixture.

Figure 6: The optimum injection timing of -30◦ SOI case is the firstto ignite (as indicated by the rise in temperature), as all the fuel iscontained within the bowl, unlike the earlier SOI cases of -36◦ and-35◦, and has a greater chemical residence time compared to thelater -24◦ SOI case.

5 DISCUSSION

High-fidelity visualization of CFD simulations of an advanced in-ternal combustion engine concept called Gasoline Compression Ig-nition was performed. The simulations reproduced the experimen-tal trend of a non-monotonic relationship between combustion sta-bility and fuel injection timing. Further, the visualization was ableto elucidate the reason for this non-monotonic relationship, whichcould not be done from the experimental results alone. The exis-tence of a “sweet spot” in SOI timing, which resulted in greatestignitability of the gasoline-air mixture under these conditions, wasalso observed and explained.

It must be noted that the state-of-art in terms of visualizationof engine simulations within industry is limited to meshes withcells on the order of 100,000 to 1 million, and is typically doneon a desktop computer. In this work, simulations of an order ofmagnitude higher fidelity in terms of mesh resolution were per-formed to better capture the spatial distribution of the fuel withinthe cylinder, and correspondingly, high-fidelity visualization wasperformed on a high performance visualization cluster. The state-of-art in simulation and visualization of internal combustion en-gines has been advanced through this work, and visualization bestpractices were developed for this industry. The improvements madeto the post convert tool are now available in CONVERGE version2.3 for use by a wide range of automotive customers.

ACKNOWLEDGEMENTS

We would like to acknowledge DOE’s Office of Vehicle Technolo-gies, Office of Energy Efficiency and Renewable Energy, programmanager Gurpreet Singh. We gratefully acknowledge the comput-ing resources provided on Fusion, a high-performance computingcluster operated by the Laboratory Computing Resource Center atArgonne National Laboratory. This research also used resources ofthe Argonne Leadership Computing Facility, which is a DOE Of-fice of Science User Facility supported under Contract DE-AC02-06CH11357. We acknowledge Dr. Chris Kolodziej and Dr. SteveCiatti for engine experiments at Argonne National Laboratory, andKeith Richards of Convergent Science, Inc. for his valuable in-puts.

REFERENCES

[1] J. Ahrens, B. Geveci, and C. Law. Paraview: An end user tool forlarge data visualization. In C. Hansen and C. Johnson, editors, TheVisualization Handbook. Morgan Kaufmann, 2005.

[2] A. A. Amsden, P. J. O’Rourke, and T. D. Butler. KIVA-II: A ComputerProgram for Chemically Reactive Flows with Sprays. Laboratory Re-port LA-11560-MS, Los Alamos National Laboratory, Los Alamos,NM, 1989.

[3] S. Ciatti, M. Johnson, B. D. Adhikary, R. Reitz, and A. Knock. Effi-ciency and Emissions performance of Multizone Stratified Compres-sion Ignition Using Different Octane Fuels. SAE Technical Paper, Pa-per No. 2013-01-0263, 2013.

[4] J. Kodavasal, K. Harms, P. Srivastava, S. Som, S. Quan, K. Richards,and M. Garcia. Development of a stiffness-based chemistry load bal-ancing scheme, and optimization of I/O and communication, to en-able massively parallel high-fidelity internal combustion engine sim-ulations. Proceedings of the ASME 2015 Internal Combustion EngineDivision Fall Technical Conference, Paper No. ICEF2015-1035, 2015.

[5] J. Kodavasal, C. Kolodziej, S. Ciatti, and S. Som. Computational FluidDynamics Simulation of Gasoline Compression Ignition. Journal ofEnergy Resources Technology, 137(3):032212, 2015.

[6] J. Kodavasal, G. A. Lavoie, D. N. Assanis, and J. B. Martz. The effectof diluent composition on homogeneous charge compression ignitionauto-ignition and combustion duration. Proceedings of the Combus-tion Institute, 35(3):3019–3026, 2015.

[7] J. Kodavasal, G. A. Lavoie, D. N. Assanis, and J. B. Martz. The ef-fects of thermal and compositional stratification on the ignition andduration of homogeneous charge compression ignition combustion.Combustion and Flame, 162(2):451–461, 2015.

[8] A. Liu, D. Mather, and R. Reitz. Modeling the Effects of Drop Dragand Breakup on Fuel Sprays. SAE Technical Paper, Paper No. 930072,1993.

[9] E. Pomraning and C. J. Rutland. Dynamic One-Equation NonviscosityLarge-Eddy Simulation Model. AIAA Journal, 40(4):689–701, 2002.

[10] Y. Ra and R. D. Reitz. A vaporization model for discrete multi-component fuel sprays. International Journal of Multiphase Flow,35(2):101–117, 2009.

[11] R. Reitz and R. Diwakar. Structure of High-Pressure Fuel Sprays. SAETechnical Paper, Paper No. 870598, 1987.

[12] K. J. Richards, P. K. Senecal, and E. Pomraning. CONVERGE(v2.2.0). Theory manual, Convergent Science, Inc., Madison, WI,2014. See also URL http://www.convergecfd.com.

[13] P. Senecal, K. Richards, E. Pomraning, T. Yang, M. Z. Dai, R. M.McDavid, M. A. Patterson, S. Hou, and T. Shethaji. A New ParallelCut-Cell Cartesian CFD Code for Rapid Grid Generation Applied toIn-Cylinder Diesel Engine Simulations. SAE Technical Paper, PaperNo. 2007-01-0159, 2007.

[14] P. K. Senecal, E. Pomraning, K. J. Richards, T. E. Briggs, C. Y. Choi,R. M. McDavid, and M. A. Patterson. Multi-Dimensional Model-ing of Direct-Injection Diesel Spray Liquid Length and Flame Lift-offLength using CFD and Parallel Detailed Chemistry. SAE TechnicalPaper, Paper No. 2003-01-1043, 2003.