A new droplet collision algorithm.

*(English)*Zbl 0988.76079From the summary: The droplet collision algorithm of O’Rourke [P. J. O’Rourke, Collective drop effects on vaporizing liquid sprays, Department of Mechanical and Aerospace Engineering, Princeton University (1981)] is currently the standard approach to calculating collisions in Lagrangian spray simulations. This algorithm has a cost proportional to the square of number of computational particles, or “parcels.” To more efficiently calculate droplet collisions, a technique applied to gas dynamics simulations is extended for use in sprays. For this technique to work efficiently, it must be able to handle the general case where the number of droplets in each parcel varies. The present work shows how the no-time-counter (NTC) method can be extended to the general case of varying numbers of droplets per parcel. The basis of this improvement is analytically derived. The new algorithm is compared to closed-form solutions and to the algorithm of O’Rourke, and it is shown that the NTC method is several orders of magnitude faster and slightly more accurate than O’Rourke’s method.

The second part of the paper concerns implementation of the collision algorithm into a multidimensional code that also models the gas phase behavior and spray breakup.

The second part of the paper concerns implementation of the collision algorithm into a multidimensional code that also models the gas phase behavior and spray breakup.

##### MSC:

76M35 | Stochastic analysis applied to problems in fluid mechanics |

76T10 | Liquid-gas two-phase flows, bubbly flows |

##### Keywords:

no-time-counter method; method of O’Rourke; droplet collision algorithm; sprays; varying numbers of droplets per parcel; multidimensional code; spray breakup##### Software:

Kiva-2
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\textit{D. P. Schmidt} and \textit{C. J. Rutland}, J. Comput. Phys. 164, No. 1, 62--80 (2000; Zbl 0988.76079)

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##### References:

[1] | M. Gavaises, A. Theodorakakos, G. Bergeles, and, G. Brenn, Evaluation of the effect of droplet collisions on spray mixing, Proc. Inst. Mech. Eng, 210, 465. |

[2] | Dukowicz, J.K., A particle-fluid numerical model for liquid spays, J. comput. phys., 35, 229, (1980) · Zbl 0437.76051 |

[3] | Bird, G.A., Perception of numerical methods in rarefied gasdyanmics, Prog. astronaut. aeronaut., 118, 211, (1989) |

[4] | A. A. Amsden, KIVA-II: A Computer Program for Chemically Reactive Flows with Sprays (Los Alamos Report LA-11560-MS, May 1989). |

[5] | O’Rourke, P.J., Collective drop effects on vaporizing liquid sprays, (1981) |

[6] | Kitron, A.; Elperin, T.; Tamir, A., Stochastic modelling of the effects of liquid droplet collisions in impinging streams absorbers and combustors, Int. J. multiphase flow, 17, 247, (1991) · Zbl 1134.76580 |

[7] | Bird, G.A., Molecular gas dynamics, (1994) |

[8] | Takashi, A., Generalized scheme of the no-time-counter scheme for the DSMC in rarefied gas flow analysis, Comput. fluids, 22, 253, (1993) · Zbl 0778.76082 |

[9] | Alexander, F.J.; Garcia, A.J., The direct simulation Monte Carlo method, Comput. phys., 11, (1997) |

[10] | Garcia, A.L., Numerical methods for physics, (1994) |

[11] | Georjon, T.L.; Reitz, R.D., A drop shattering collision model for multidimensional spray computations, Atomization and sprays, 9, (1999) |

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