### Abstract

Three numerical issues of the stochastic Eulerian-Lagrangian models for two-phase turbulent flow computations are revisited. It is found that importance of the inlet condition of the dispersed-phase fluctuating velocity, u'(pi), on the solution of the fluctuating flow quantity of the dispersed phase, <u'(pi)^{2}>, is appreciable for the large droplets (or particles). However, the neglect of the inlet u'(pi) condition which was made in the most stochastic Lagrangian computations does not introduce marked deviation in the determination of the mean dispersed-phase flow properties through use of the usual ensemble-averaging form. It is found that a great number of 10^{4} computational droplets for each discrete size is needed to attain a statistically stationary solution of <u'(pi)^{2}>. Furthermore, the choice of the ensemble-averaging form is not important with the use of 10^{4} computational droplets for each discrete size in the stochastic Lagrangian computation.

Original language | English |
---|---|

Title of host publication | Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM) |

Publisher | American Society of Mechanical Engineers |

Number of pages | 1 |

ISBN (Print) | 0791819612 |

Publication status | Published - 1999 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Earth and Planetary Sciences(all)
- Engineering(all)
- Environmental Science(all)

### Cite this

*Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)*American Society of Mechanical Engineers.

}

*Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM).*American Society of Mechanical Engineers.

**Revisiting numerical issues of stochastic Eulerian-Lagrangian models.** / Chang, Keh-Chin; Yang, J. C.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Revisiting numerical issues of stochastic Eulerian-Lagrangian models

AU - Chang, Keh-Chin

AU - Yang, J. C.

PY - 1999

Y1 - 1999

N2 - Three numerical issues of the stochastic Eulerian-Lagrangian models for two-phase turbulent flow computations are revisited. It is found that importance of the inlet condition of the dispersed-phase fluctuating velocity, u'(pi), on the solution of the fluctuating flow quantity of the dispersed phase, 2>, is appreciable for the large droplets (or particles). However, the neglect of the inlet u'(pi) condition which was made in the most stochastic Lagrangian computations does not introduce marked deviation in the determination of the mean dispersed-phase flow properties through use of the usual ensemble-averaging form. It is found that a great number of 104 computational droplets for each discrete size is needed to attain a statistically stationary solution of 2>. Furthermore, the choice of the ensemble-averaging form is not important with the use of 104 computational droplets for each discrete size in the stochastic Lagrangian computation.

AB - Three numerical issues of the stochastic Eulerian-Lagrangian models for two-phase turbulent flow computations are revisited. It is found that importance of the inlet condition of the dispersed-phase fluctuating velocity, u'(pi), on the solution of the fluctuating flow quantity of the dispersed phase, 2>, is appreciable for the large droplets (or particles). However, the neglect of the inlet u'(pi) condition which was made in the most stochastic Lagrangian computations does not introduce marked deviation in the determination of the mean dispersed-phase flow properties through use of the usual ensemble-averaging form. It is found that a great number of 104 computational droplets for each discrete size is needed to attain a statistically stationary solution of 2>. Furthermore, the choice of the ensemble-averaging form is not important with the use of 104 computational droplets for each discrete size in the stochastic Lagrangian computation.

UR - http://www.scopus.com/inward/record.url?scp=0033369877&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033369877&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0033369877

SN - 0791819612

BT - Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)

PB - American Society of Mechanical Engineers

ER -