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A New Parallel Cut-Cell Cartesian CFD Code for Rapid Grid Generation Applied to In-Cylinder Diesel Engine Simulations
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 16, 2007 by SAE International in United States
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A new Computational Fluid Dynamics (CFD) code has been developed in order to overcome the deficiencies of traditional grid generation and mesh motion methods. The new code uses a modified cut-cell Cartesian technique that eliminates the need for the computational grid to coincide with the geometry of interest. The code also includes state-of-the-art numerical techniques and sub-models for simulating the complex physical and chemical processes that occur in engines. Features such as shared and distributed memory parallelization, a multigrid pressure solver and user-specified grid embedding allow for efficient simulations while maintaining the grid resolution necessary for accurate engine modeling. In addition, a new Adaptive Grid Embedding (AGE) technique has been developed and implemented. Sub-models for turbulence, spray injection, spray breakup, liquid drop dynamics, ignition, combustion and emissions are also included in the code. Further, a modified version of the commonly used KH-RT breakup model has been developed which incorporates viscosity effects in the Rayleigh-Taylor instability mechanism and removes the ad hoc breakup length concept.
The current work presents validation of the new modeling methodology over a wide range of Diesel engine combustion scenarios, including conventional single-injection Diesel cases and multiple injection strategies. The results indicate that this combination of rapid grid generation, modern numerical methods and state-of-the-art sub-models makes this code a powerful tool for internal combustion engine simulations.
- P. K. Senecal - Convergent Thinking, LLC
- K. J. Richards - Convergent Thinking, LLC
- E. Pomraning - Convergent Thinking, LLC
- T. Yang - Convergent Thinking, LLC
- M. Z. Dai - Convergent Thinking, LLC
- R. M. McDavid - Caterpillar, Inc.
- M. A. Patterson - Caterpillar, Inc.
- S. Hou - Caterpillar, Inc.
- T. Shethaji - Caterpillar, Inc.
CitationSenecal, P., Richards, K., Pomraning, E., Yang, T. et al., "A New Parallel Cut-Cell Cartesian CFD Code for Rapid Grid Generation Applied to In-Cylinder Diesel Engine Simulations," SAE Technical Paper 2007-01-0159, 2007, https://doi.org/10.4271/2007-01-0159.
- Senecal, P. K., “Development of a Methodology for Internal Combustion Engine Design Using Multi-Dimensional Modeling with Validation Through Experiments,” Ph.D. Thesis, University of Wisconsin-Madison, 2000.
- Senecal, P. K. and Reitz, R. D., “Simultaneous Reduction of Engine Emissions and Fuel Consumption Using Genetic Algorithms and Multi-Dimensional Spray and Combustion Modeling”, SAE 2000-01-1890, 2000.
- Senecal, P. K., Montgomery, D. T., and Reitz, R. D., “A Methodology for Engine Design Using Multi-Dimensional Modeling and Genetic Algorithms with Validation Through Experiments,” International Journal of Engine Research, 1, 229, 2000.
- Wickman, D. D., Senecal, P. K., and Reitz, R. D., “Diesel Engine Combustion Chamber Geometry Optimization Using Genetic Algorithms and Multi-Dimensional Spray and Combustion Modeling,” SAE 2001-01-0547, 2001.
- Senecal, P. K., Pomraning, E., and Richards, K. J., “Multi-Mode Genetic Algorithm Optimization of Combustion Chamber Geometry for Low Emissions,” SAE 2002-01-0958, 2002.
- Pomraning, E., “Development of Large Eddy Simulation Turbulence Models,” Ph.D. Thesis, University of Wisconsin-Madison, 2000.
- Leonard, A., “Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows,” Advances in Geophysics A, 18, 237-248, 1974.
- Yeo, W. K., “A Generalized High Pass/Low Pass Averaging Procedure for Deriving and Solving Turbulent Flow Equations,” Ph.D. Thesis, The Ohio State University, 1987.
- Rhie, C. M. and Chow, W. L., “Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation,” AIAA J., 21, 1525-1532, 1983.
- Issa, R. I., “Solution of the Implicitly Discretised Fluid Flow Equations by Operator-Splitting,” Journal of Computational Physics, 62, 1985.
- Siebers, D. L., “Scaling Liquid-Phase Fuel Penetration in Diesel Sprays Based on Mixing-Limited Vaporization,” SAE 1999-01-0528, 1999.
- Siebers, D. and Higgins, B., “Flame Lift-Off on Direct-Injection Diesel Sprays Under Quiescent Conditions,” SAE 2001-01-0530, 2001.
- Reitz, R. D. and Diwakar, R., “Structure of High-Pressure Fuel Sprays,” SAE 870598, 1987.
- Siebers, D. L., “Liquid-Phase Fuel Penetration in Diesel Sprays,” SAE 980809, 1998.
- Reitz, R. D., “Modeling Atomization Processes in High-Pressure Vaporizing Sprays,” Atomisation and Spray Technology, 3, 309, 1987.
- Ricart, L. M., Xin, J., Bower, G. R. and Reitz, R. D., “In-Cylinder Measurement and Modeling of Liquid Fuel Spray Penetration in a Heavy-Duty Diesel Engine,” SAE 971591, 1997.
- Joseph, D. D., Belanger, J. and Beavers, G. S., “Breakup of a Liquid Drop Suddenly Exposed to a High-Speed Airstream,” International Journal of Multiphase Flow, 25, 1263-1303, 1999.
- Schmidt, D. P. and Rutland, C. J., “A New Droplet Collision Algorithm,” Journal of Computational Physics, 164, 62-80, 2000.
- Post, S. L. and Abraham, J., “Modeling the Outcome of Drop-Drop Collisions in Diesel Sprays,” International Journal of Multiphase Flow, 28, 997-1019, 2002.
- Liu, A. B., Mather, D. K., and Reitz, R. D., “Modeling the Effects of Drop Drag and Breakup on Fuel Sprays,” SAE 930072, 1993.
- Amsden, A. A., O'Rourke, P. J., and Butler, T. D., “KIVA-II: A Computer Program for Chemically Reactive Flows with Sprays,” Los Alamos National Laboratory Report No. LA-11560-MS, 1989.
- Senecal, P. K., Pomraning, E., Richards, K. J., Briggs, T. E., Choi, C. Y., McDavid, R. M. and Patterson, M. A., “Multi-Dimensional Modeling of Direct-Injection Diesel Spray Liquid Length and Flame Lift-Off Length Using CFD and Parallel Detailed Chemistry,” SAE 2003-01-1043, 2003.
- Nordin, N., “Numerical Simulations of Non-Steady Spray Combustion Using a Detailed Chemistry Approach,” Thesis for the degree of Licentiate of Engineering, Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Goteborg, Sweden, 1998.
- Kong, S.-C., Marriott, C. D., Reitz, R. D., and Christensen, M., “Modeling and Experiments of HCCI Engine Combustion Using Detailed Chemical Kinetics with Multidimensional CFD,” SAE 2001-01-1026, 2001.
- Halstead, M., Kirsh, L. and Quinn, C., “The Autoignition of Hydrocarbon Fuels at High Temperatures and Pressures - Fitting of a Mathematical Model,” Combust. Flame, 30, 45, 1977.
- Kong, S.-C., Han, Z. and Reitz, R. D., “The Development and Application of a Diesel Ignition and Combustion Model for Multidimensional Engine Simulation,” SAE 950278, 1995.
- Theobald, M. A. and Cheng, W. K., “A Numerical Study of Diesel Ignition,” presented at the ASME Energy-Source Technology Conference and Exhibition, Dallas, TX, 1987.
- Xin, J., Montgomery, D., Han, Z., and Reitz, R. D., “Computer Modeling of the Six-mode Emissions Test Cycle of a DI Diesel Engine,” Journal of Engineering for Gas Turbines and Power, 119, 683, 1997.
- Heywood, J. B., Internal Combustion Engine Fundamentals, McGraw-Hill, Inc., 1988.
- Patterson, M. A., Kong, S.-C., Hampson, G. J. and Reitz, R. D., “Modeling the Effects of Fuel Injection Characteristics on Diesel Engine Soot and NOx Emissions,” SAE 940523, 1994.
- Hiroyasu, H. and Kadota, T., “Models for Combustion and Formation of Nitric Oxide and Soot in DI Diesel Engines,” SAE 760129, 1976.
- Nagle, J. and Strickland-Constable, R. F., “Oxidation of Carbon Between 1000-2000 C,” Proc. Of the Fifth Carbon Conf., 1, 154, 1962.
- Yakhot, V. and Orszag, S. A., “Renormalization Group Analysis of Turbulence. I. Basic Theory,” J. Sci. Comput., 1, 3, 1986.
- Han, Z. and Reitz, R. D., “Turbulence Modeling of Internal Combustion Engines Using k-ε Models,” Combust. Sci. and Tech., 106, 267, 1995.
- Launder, B. E. and Spalding, D. B., “The Numerical Computation of Turbulent Flows,” Computer Methods in Applied Mechanics and Engineering, 3, 269, 1974.
- Amsden, A. A., “KIVA-3V: A Block-Structured KIVA Program for Engines with Vertical or Canted Valves,” Los Alamos National Laboratory Report No. LA-13313-MS, 1997.
- Mixell, C. of Ricardo, Private Communication, Madison, WI, 1997.
- Richards, K. J., “Multidimensional Intake Flow Modeling of HSDI Diesel Engines,” MS Thesis, University of Wisconsin-Madison, 1999.
- Montgomery, D. T., “An Investigation of the Effects of Injection and EGR Parameters on the Emissions and Performance of Heavy Duty Diesel Engines,” MS Thesis, Dept. of Mechanical Engineering, University of Wisconsin-Madison, 1996.
- Montgomery, D. T. and Reitz, R. D., “Six-Mode Cycle Evaluation of the Effect of EGR and Multiple Injections on Particulate and NOx Emissions from a DI Diesel Engine,” SAE 960316, 1996.
- Espey, C. and Dec, J. E., “The Effect of TDC Temperature and Density on the Liquid-Phase Fuel Penetration in a D.I. Diesel Engine, Transactions of the SAE, 104, 1400-1414, 1995.
- Tanin, K. V., Wickman, D. D., Montgomery, D. T., Das, S. and Reitz, R. D., “The Influence of Boost Pressure on Emissions and Fuel Consumption of a Heavy-Duty Single-Cylinder DI Diesel Engine,” SAE 1999-01-0840, 1999.
- Choi, C. Y., “Experiments and Modeling of Fuel Composition Effects on Diesel Engine Performance and Emissions,” Ph.D. Thesis, University of Wisconsin-Madison, 1998.
- Fuchs, T. R., “Intake Flow Effects on Combustion and Emissions in a Diesel Engine,” MS Thesis, Dept. of Mechanical Engineering, University of Wisconsin-Madison, 1997.