An efficient semi-implicit numerical method is developed for solving the detailed chemical kinetic source terms in I.C. engine simulations. The detailed chemistry system is a group of coupled extremely stiff O.D.E.s, which presents a very stringent timestep limitation when solved by standard explicit methods, and is computationally expensive when solved by iterative implicit methods. The present numerical solver uses a stiffly-stable noniterative semi-implicit method, in which the numerical solution to the stiff O.D.E.s never blows up for arbitrary large timestep. The formulation of numerical integration exploits the physical requirement that the species density and specific internal energy in the computational cells must be nonnegative, so that the Lipschitz timestep constraint is not present [1,2], and the computation timestep can be orders of magnitude larger than that possible in standard explicit methods and can be formulated to be of high formal order of accuracy. The solver exploits the characteristics of the stiffness of the O.D.E.s by using a sequential sort algorithm that ranks an approximation to the dominant eigenvalues of the system to achieve maximum accuracy. Subcycling within the chemistry solver routine is applied for each computational cell in engine simulations, where the subcycle timestep is dynamically determined by monitoring the rate of change of concentration of key species which have short characteristic time scales and are also important to the chemical heat release. The chemistry solver is applied in the KIVA-3V code to diesel engine simulations. Results are compared with those using the CHEMKIN package which uses the VODE implicit solver. Very good agreement was achieved for a wide range of engine operating conditions, and 40∼70% CPU time savings were achieved by the present solver compared to CHEMKIN.
Skip Nav Destination
ASME 2005 Internal Combustion Engine Division Spring Technical Conference
April 5–7, 2005
Chicago, Illinois, USA
Conference Sponsors:
- Internal Combustion Engine Division
ISBN:
0-7918-4184-7
PROCEEDINGS PAPER
Development of a Semi-Implicit Solver for Detailed Chemistry in I.C. Engine Simulations
Long Liang,
Long Liang
University of Wisconsin at Madison, Madison, WI
Search for other works by this author on:
Chulhwa Jung,
Chulhwa Jung
University of Wisconsin at Madison, Madison, WI
Search for other works by this author on:
Song-Charng Kong,
Song-Charng Kong
University of Wisconsin at Madison, Madison, WI
Search for other works by this author on:
Rolf D. Reitz
Rolf D. Reitz
University of Wisconsin at Madison, Madison, WI
Search for other works by this author on:
Long Liang
University of Wisconsin at Madison, Madison, WI
Chulhwa Jung
University of Wisconsin at Madison, Madison, WI
Song-Charng Kong
University of Wisconsin at Madison, Madison, WI
Rolf D. Reitz
University of Wisconsin at Madison, Madison, WI
Paper No:
ICES2005-1005, pp. 123-133; 11 pages
Published Online:
November 11, 2008
Citation
Liang, L, Jung, C, Kong, S, & Reitz, RD. "Development of a Semi-Implicit Solver for Detailed Chemistry in I.C. Engine Simulations." Proceedings of the ASME 2005 Internal Combustion Engine Division Spring Technical Conference. ASME 2005 Internal Combustion Engine Division Spring Technical Conference. Chicago, Illinois, USA. April 5–7, 2005. pp. 123-133. ASME. https://doi.org/10.1115/ICES2005-1005
Download citation file:
15
Views
Related Articles
Development of a Semi-implicit Solver for Detailed Chemistry in Internal Combustion Engine Simulations
J. Eng. Gas Turbines Power (January,2007)
Steady-State Calibration of a Diesel Engine in Computational Fluid Dynamics Using a Graphical Processing Unit-Based Chemistry Solver
J. Eng. Gas Turbines Power (October,2018)
Development of a Highly Reduced Mechanism for Iso-Octane HCCI Combustion With Targeted Search Algorithm
J. Eng. Gas Turbines Power (July,2008)
Related Chapters
Microstructure Evolution and Physics-Based Modeling
Ultrasonic Welding of Lithium-Ion Batteries
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Analytical and Numerical Methods in Fluid Flow and Heat Transfer
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine