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EPISO - An implicit non-iterative solution procedure for the calculation of flows in reciprocating engine chambers. (English) Zbl 0715.76077

Summary: This paper deals with the extensions that are required to be made to the implicit noniterative PISO solution procedure in order to calculate flows in motored reciprocating engines. Firstly the three-dimensional conservation equations governing the flow processes in asymmetric engine chambers equipped with piston bowls are given in full. These equations are then cast into finite volume forms, using orthogonal curvilinear computational grids. The operator splitting technique required to handle the velocity-pressure coupling is then given in detail, along with a similar technique for the turbulence model, in this case the turbulence kinetic energy and its dissipation rate. The EPISO (Engine PISO) algorithm is then tested on a number of flow cases in order to (i) assess its performance in comparison with earlier iterative methods, (ii) examine the temporal accuracy of the operator splitting technique, and (iii) illustrate the capability of the method to handle complex geometries and turbulent flow situations.
The method is found to produce time step independent solutions at the same time step as fully implicit iterative schemes, but it is nearly an order of magnitude faster than procedures based on the SIMPLE algorithm. The algorithm is also shown to be capable of calculating three- dimensional turbulent flows in engines equipped with curvilinear piston bowls.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)

Software:

EPISO
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References:

[1] Watkins, A. P., Calculation of flow and heat transfer in the combustion chamber of a reciprocating engine, (MSc Thesis (1973), University of London)
[2] Gosman, A. D., Computer modelling of flow and heat transfer in engines, progress and prospects, (JSME, Internat. Symp on Diagnostics and Modelling of Combustion in Reciprocating Engines. JSME, Internat. Symp on Diagnostics and Modelling of Combustion in Reciprocating Engines, Tokyo (1985)) · Zbl 0556.76003
[3] Bracco, F. V., Modelling of engine sprays, SAE 850394 (1985)
[4] Gosman, A. D.; Watkins, A. P., A computer prediction method for turbulent flow and heat transfer in piston/cylinder assemblies, (Proc. 1st Internat. Symp. on Turbulent Shear Flows (1977), Penn State University)
[5] Gosman, A. D.; Jahanbakhsh, A.; Watkins, A. P., Evaluation of multi-dimensional prediction of flow in piston-bowl engine configurations, (Proc. ASME, Internat. Symp. on Flows in Internal Combustion Engines—III, FED-Vol. 28 (1985))
[6] Syed, S. A.; Bracco, F. V., Further comparisons of computed and measured divided-chamber engine combustion, SAE 790247 (1979)
[7] Hirt, C. W.; Amsden, A. A.; Cook, J. L., An arbitrary Lagrangian-Eulerian computing method for all flow speeds, J. Comput. Phys., 14, 3 (1974) · Zbl 0292.76018
[8] Amsden, A. A.; Butler, T. D.; O’Rourke, P. J.; Ramshaw, J. D., KIVA—a comprehensive model for 2-D and 3-D engine simulations, SAE 850554 (1985)
[9] Patankar, S. V.; Spalding, D. B., A calculation procedure for heat, mass and momentum transfer in 3-D parabolic flows, Internat. J. Heat Mass Transfer, 15 (1972) · Zbl 0246.76080
[10] Gosman, A. D.; Johns, R. J.R.; Watkins, A. P., Development of prediction methods for in-cylinder processes in reciprocating engines, (Mattavi, J. N.; Amann, C. A., Combustion modelling in Reciprocating Engines (1980), Plenum Press: Plenum Press New York)
[11] Spalding, D. B., A general computer program for fluid-flow, heat transfer and chemical reaction processes, (Internat. FEM-Congress (1980)) · Zbl 0058.40801
[12] Ahmadi-Befrui, B.; Arcoumanis, C.; Bicen, B. F.; Gosman, A. D.; Jahanbakhsh, A.; Whitelaw, J. H., Calculations and measurement of the flow in a motored model engine and implications for open-chamber, direct-injection engines, (Carmi, S., Three-dimensional shear flows (1982), ASME: ASME New York)
[13] Markatos, N. C.; Mukerjee, T., Three-dimensional computer analysis of flow and combustion in automotive internal combustion engines, Comput. simulation, XXIII, 354-366 (1981)
[14] Yamada, T.; Inoue, T.; Yoshimatsu, A.; Hiramatsu, T.; Konishi, M., In-cylinder gas motion of multivalve engine—three dimensional numerical simulation, SAE 860465 (1986)
[15] Issa, R. I., Solution of the implicitly discretised fluid flow equations by operator-splitting, J. Comput. Phys., 62, 1 (1986) · Zbl 0619.76024
[16] Issa, R. I.; Gosman, A. D.; Watkins, A. P., The computation of compressible and incompressible recirculating flows by a non-iterative implicit scheme, J. Comput. Phys., 62, 1 (1986) · Zbl 0575.76008
[17] Gosman, A. D.; Tsui, Y. Y.; Watkins, A. P., Calculation of three-dimensional air motion in model engines, SAE 840229 (1984)
[18] Gosman, A. D.; Tsui, Y. Y.; Vafidis, C., Flow in a model engine with a shrouded valve—a combined experimental and computational study, SAE 850498 (1985)
[19] Gosman, A. D.; Tsui, Y. Y.; Watkins, A. P., Calculation of unsteady three-dimensional flow in a model motored reciprocating engine and comparison with experiment, (Proc. 5th Internat. Symp. on Turbulent Shear Flows (1985), Cornell University: Cornell University New York)
[20] Launder, B. E.; Spalding, D. B., Mathematical Models of Turbulence (1972), Academic Press: Academic Press London · Zbl 0288.76027
[21] Reynolds, W. C., Modelling of fluid motions in engines—an introductory overview, (Mattavi, J. N.; Amann, C. A., Combustion Modelling in Reciprocating Engines (1980), Plenum Press: Plenum Press New York)
[22] Gosman, A. D.; Johns, R. J.R., A simple method for generating curvilinear-orthogonal grids for numerical fluid mechanics calculations, Mech. Engrg. Dept. Report, Imperial College, FS/79/23 (1979)
[23] Begleris, P., Three dimensional flow predictions in motored diesel engines, (PhD Thesis (1987), University of London)
[24] Stone, H. L., Iterative solution of implicit approximation of multi-dimensional partial differential equations, SIAM J. Numer. Anal., 5, 3 (1968) · Zbl 0197.13304
[25] Kershaw, D. S., The incomplete Cholesky conjugate gradient method for the iterative solution of systems of linear equations, J. Comput. Phys., 26 (1978) · Zbl 0367.65018
[26] Arcoumanis, C.; Begleris, P.; Gosman, A. D.; Whitelaw, J. H., Measurements and calculations of the flow in a research diesel engine, SAE 861563 (1986)
[27] Ahmadi-Befrui, B., Analysis of flow evolution in the cylinder of motored reciprocating engines, (PhD Thesis (1985), University of London)
[28] Watkins, A. P.; Gosman, A. D.; Tabrizi, B. S., Calculation of three-dimensional spray motion in engines, SAE 860468 (1986)
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