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Development of a CFD Solver for Primary Diesel Jet Atomization in FOAM-Extend
ISSN: 0148-7191, e-ISSN: 2688-3627
Published September 9, 2019 by SAE International in United States
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Ongoing development of a CFD framework for the simulation of primary atomization of a high pressure diesel jet is presented in this work. The numerical model is based on a second order accurate, polyhedral Finite Volume (FV) method implemented in foam-extend-4.1, a community driven fork of the OpenFOAM software. A geometric Volume-of-Fluid (VOF) method isoAdvector is used for interface advection, while the Ghost Fluid Method (GFM) is used to handle the discontinuity of the pressure and the pressure gradient at the interface between the two phases: n-dodecane and air in the combustion chamber. In order to obtain highly resolved interface while minimizing computational time, an Adaptive Grid Refinement (AGR) strategy for arbitrary polyhedral cells is employed in order to refine the parts of the grid near the interface. Dynamic Load Balancing (DLB) is used in order to preserve parallel efficiency during AGR. The combination of isoAdvector-GFM-AGR-DLB presents a unique framework for diesel jet atomization. The developed numerical framework is preliminarily tested on the Engine Combustion Network (ECN) Spray D geometry and conditions. The unstructured, mostly hexahedral grid is used with the base cell size of 40 micrometres. Four refinement levels are used in the close proximity of the interface in order to attempt to resolve break-up of droplets. The finest cells near the interface have the size of 2.5 micrometres. Part of the nozzle is also considered in the simulation in order to capture the developed jet profile at the entry into the combustion chamber. The temporal evolution of the jet is presented, along with the preliminary comparison of droplet statistics with available results.
CitationVukcevic, V., Keser, R., Jasak, H., Battistoni, M. et al., "Development of a CFD Solver for Primary Diesel Jet Atomization in FOAM-Extend," SAE Technical Paper 2019-24-0128, 2019, https://doi.org/10.4271/2019-24-0128.
- Subramaniam, S. , “Lagrangian-Eulerian Methods for Multiphase Flows,” Progress in Energy and Combustion Science 215:215-245, 2013.
- Dukowicz, J.K. , “A Particle-Fluid Numerical Method for Liquid Sprays,” Journal of Computational Physics 35(2):229-253, 1980.
- Petranović, Z., Edelbauer, W., Vujanović, M. and Duić, N. , “Modelling of the Reactive Sprays Employing the Euler Eulerian Multi-Continuum Approach”, in Proceedings of the 27th European Conference on Liquid Atomization and Spray Systems (ILASS), Brighton, United Kingdom, 2016.
- Desjardins, O., Moureau, V., and Pitsch, H. , “An Accurate Conservative Level Set/Ghost Fluid Method for Simulating Turbulent Atomization,” J. Comput. Phys. 227(18):8395-8416, 2008.
- Ghiji, M., Goldsworthy, L., Brandner, P.A., Garaniya, V. et al. , “Numerical and Experimental Investigation of Early Stage Diesel Sprays,” Fuel 175:274-286, 2016, doi:10.1016/j.fuel/2016.02.040.
- Arienti, M. and Sussman, M. , “A Numerical Study of the Thermal Transient in High-Pressure Diesel Injection,” International Journal of Multiphase Flow 88:205-221, 2017, doi:10.1016/j.ijmultiphaseflow.2016.09.017.
- Battistoni, M., Magnotti, G.M., Genzale, C.L., Arienti, M. et al. , “Experimental and Computational Investigation of Subcritical Near-Nozzle Spray Structure and Primary Atomization in the Engine Combustion Network Spray D,” SAE Int. J. Fuels Lubr. 11(4):337-352, 2018, doi:10.4271/2018-01-0277.
- Jemison, M., Sussman, M., and Arienti, M. , “Compressible, Multiphase Semi-Implicit Method with Moment of Fluid Interface Representation,” J. Comput. Phys. 279:182-217, 2014.
- Vukčević, V. , “Numerical Modelling of Coupled Potential and Viscous Flow for Marine Applications,” Ph.D. thesis, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, 2016,. doi:10.13140/RG.2.2.23080.57605.
- Huang, J., Carrica, P.M., and Stern, F. , “Coupled Ghost Fluid/Two-Phase Level Set Method for Curvilinear Body-Fitted Grids,” Int. J. Numer. Meth. Fluids 44:867-897, 2007, doi:10.1002/fld.1499.
- Jasak, H. , “Error Analysis and Estimation for the Finite Volume Method with Applications to Fluid Flows,” Ph.D. thesis, Imperial College of Science, Technology & Medicine, London, 1996.
- Patankar, S.V. and Spalding, D.B. , “A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,” Int. J. Heat Mass Transf. 15:1787-1806, 1972.
- Issa, R.I. , “Solution of the Implicitly Discretised Fluid Flow Equations by Operator-Splitting,” J. Comput. Phys. 62:40-65, 1986.
- Vukčević, V., Jasak, H., and Gatin, I. , “Implementation of the Ghost Fluid Method for Free Surface Flows in Polyhedral Finite Volume Framework,” Comput. Fluids 153:1-19, 2017, doi:10.1016/j.compfluid.2017.05.003.
- Rhie, C.M. and Chow, W.L. , “A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation,” AIAA J. 21:1525-1532, 1983.
- Ferziger, J.H. and Peric, M. , Computational Methods for Fluid Dynamics (Springer, 1996).
- Jasak, H. and Weller, H.G. , “Application of the Finite Volume Method and Unstructured Meshes to Linear Elasticity,” Int. J. Numer. Methods Eng. 48:267-287, 2000.
- Ivey, C. and Moin, P. , “Accurate Interface Normal and Curvature Estimates on Three-Dimensional Unstructured Non-Convex Polyhedral Meshes,” J. Comp. Phys. 300:365-386, 2014, doi:10.1016/j.jcp.2015.07.055.
- Denner F., Van Wachem B.G. , “Fully-Coupled Balanced-Force VOF Framework for Arbitrary Meshes with Least-Squares Curvature Evaluation from Volume Fractions”, Numerical Heat Transfer, Part B: Fundamentals 65 (3) 2014 218-255. doi:10.1080/10407790.2013.849996.
- Roenby, J., Bredmose, H., and Jasak, H. , “A Computational Method for Sharp Interface Advection,” Open Science 3(11), doi:10.1098/rsos.160405.
- Xie, B., Ii, S., and Xiao, F. , “An Efficient and Accurate Algebraic Interface Capturing Method for Unstructured Grids in 2 and 3 Dimensions: The THINC Method with Quadratic Surface Representation,” International Journal for Numerical Methods in Fluids 76(12):1025-1042, 2014, doi:10.1002/fld.3968.
- López, J., Zanzi, C., Gómez, P., Faura, F. et al. , “A New Volume of Fluid Method in Three Dimensions - Part II: Piecewise-Planar Interface Reconstruction with Cubic-Bézier Fit,” International Journal for Numerical Methods in Fluids 58(8):923-944, 2008, doi:10.1002/fld.1775.
- Hernández, J., López, J., Gómez, P., Zanzi, C. et al. , “A New Volume of Fluid Method in Three Dimensions - Part I: Multidimensional Advection Method with Face-Matched Flux Polyhedra,” International Journal for Numerical Methods in Fluids 58(8):897-921, 2008, doi:10.1002/fld.1776.
- Ahn, H.T. and Shashkov, M. , “Multi-Material Interface Reconstruction on Generalized Polyhedral Meshes,” Journal of Computational Physics 226(2):2096-2132, 2007, doi:10.1016/j.jcp.2007.06.033.
- Engine Combustion Network , “Engine Combustion Network Experimental Data Archive,” https://ecn.sandia.gov, accessed March 21, 2018.
- Herbert, D.A., Schmidt, D.P., Knaus, D.A., Phillips, S., et al. , “Parallel VOF Spray Droplet Identification in an Unstructured Grid”, in Proceedings of the 21st Annual Conference on Liquid Atomization and Spray Systems (ILASS), Orlando, FL, 2008.