### Abstract

An implicit algorithm for the computation of viscous two-phase flows is presented. The baseline differential equation system is the multi-phase Navier-Stokes equations, comprised of the mixture volume, mixture momentum and constituent volume fraction equations. Though further generalization is straightforward, a three species formulation is pursued here, which separately accounts for the liquid and vapor (which exchange mass) as well as a non-condensable gas field. The implicit method developed here employs a dual-time, preconditioned, three-dimensional algorithm, with multi-block and parallel execution capabilities. Time-derivative preconditioning is employed to ensure well-conditioned eigenvalues, which is important for the computational efficiency of the method. Special care is taken to ensure that the resulting eigensystem is independent of the density ratio and the local volume fraction, which renders the scheme wellsuited to high density ratio, phase-separated two-fluid flows characteristic of many cavitating and boiling systems. To demonstrate the capabilities of the scheme, several two-dimensional and three-dimensional examples are presented.

Original language | English (US) |
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Pages | 676-688 |

Number of pages | 13 |

State | Published - Jan 1 1999 |

Event | 14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States Duration: Nov 1 1999 → Nov 5 1999 |

### Other

Other | 14th Computational Fluid Dynamics Conference, 1999 |
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Country | United States |

City | Norfolk |

Period | 11/1/99 → 11/5/99 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

*A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction*. 676-688. Paper presented at 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States.