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Momentum Coupling by Means of Lagrange Polynomials in the CFD Simulation of High-Velocity Dense Sprays
ISSN: 0148-7191, e-ISSN: 2688-3627
Published March 08, 2004 by SAE International in United States
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The discrete droplet model is widely used to describe two-phase flows such as high-velocity dense sprays. The interaction between the liquid and the gas phase is modeled via appropriate source terms in the gas phase equations. This approach can lead to a strong dependence of the liquid-gas coupling on the spatial resolution of the gas phase. The liquid-gas coupling requires the computation of source terms using the gas phase properties, and, subsequently, these sources are then distributed onto the gas phase mesh. In this study, a Lagrange polynomial interpolation method has been developed to evaluate the source terms and also to distribute these source terms onto the gas mesh. The focus of this investigation has been on the momentum exchange between the two phases.
The Lagrange polynomial interpolation and source term distribution methods are evaluated for non-evaporating sprays using KIVA3 as a modeling platform. This method is compared with the standard “nearest neighbor” method of KIVA3, and experimental data have been used to establish its validity. The evaluation criteria used include the liquid penetration, the drop size distributions and the velocity distributions for liquid and gas. It has been found that this new interpolation and distribution method leads to more realistic spray behavior and to an increased stability of the numerical solver.
CitationStalsberg-Zarling, K., Feigl, K., Tanner, F., and Larmi, M., "Momentum Coupling by Means of Lagrange Polynomials in the CFD Simulation of High-Velocity Dense Sprays," SAE Technical Paper 2004-01-0535, 2004, https://doi.org/10.4271/2004-01-0535.
Diesel Engines on CD-ROM from the SAE 2004 World Congress
Number: SP-1834CD; Published: 2004-03-08
Number: SP-1834CD; Published: 2004-03-08
- Amsden, A. A. KIVA-3: A KIVA Program with Block-Structured Mesh for Complex Geometries Los Alamos National Laboratory 1993
- Gonzalez, M. A. Lian, Z. W. Reitz R. D. Modeling Diesel engine spray vaporization and combustion SAE Paper 920579 1992
- Abraham, J. What is adequate resolution in the numerical computations of transient jets? SAE Paper 970051 1997
- Beard, P. Duclos, J. M. Habchi, C. Bruneaux, G. Mokaddem, K. Baritaud T. Extension of Lagrangian-Eulerian spray modeling: application to high pressure evaporating diesel sprays SAE Paper 2001-01-1893 2000
- Schmidt, D. Senecal P. Improving numerical accuracy of spray simulations SAE Paper 2002-01-1113 2002
- Nordin, N. Complex chemistry modeling of diesel spray combustion Ph.D. Thesis Chalmers University of Technology 2000
- Pannala, S. On large eddy simulations of reacting two-phase flows Ph.D. Thesis Georgia Institute of Technology 2000
- Miller, R. S. Bellan J. Direct numerical simulation of a confined three-dimensional gas mixing layer with one evaporating hydrocarbon-droplet-laden stream J. Fluid Mech. 1999 384 293 338
- Hieber, S. An investigation of the mesh dependence of the stochastic discrete droplet model applied to dense liquid sprays M.S. Thesis Michigan Technological University 2001
- Larmi, M. Rantanen, P. Tiainen, J. Kiijarvi, J. Tanner, F. X. Stalsberg-Zarling K. Simulation of non-evaporating diesel sprays and verification with experimental data SAE Paper 2002-01-0946 2002
- Allaire, P. E. Basics of the Finite Element Method: Solid Mechanics, Heat Transfer, and Fluid Mechanics Wm. C. Brown Publishers Dubuque, Iowa 1985
- Schmidt, D. P. Rutland C. J. A new droplet collision algorithm J. Comput. Phys. 164 62 80 2000
- Han, Z. Y. Reitz R. D. Turbulence modeling of internal combustion engines using RNG-k-eps models Combust. Sci. and Tech. 106 267 295 1995
- Tanner, F. X. A Cascade atomization and drop breakup model for the simulation of high-pressure liquid Jets SAE Paper 2003-01-1044 2003