### Abstract

An implicit algorithm for the computation of viscous two-phase flows is presented in this paper. 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 well-suited 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- and three-dimensional examples are presented.

Original language | English (US) |
---|---|

Pages (from-to) | 849-875 |

Number of pages | 27 |

Journal | Annales de Chimie: Science des Materiaux |

Volume | 25 |

Issue number | 3 |

State | Published - Jan 1 2000 |

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### All Science Journal Classification (ASJC) codes

- Materials Chemistry

### Cite this

*Annales de Chimie: Science des Materiaux*,

*25*(3), 849-875.

}

*Annales de Chimie: Science des Materiaux*, vol. 25, no. 3, pp. 849-875.

**Preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction.** / Kunz, Robert Francis; Boger, David A.; Stinebring, David R.; Chyczewski, Thomas S.; Lindau, Jules Washington V.; Gibeling, Howard J.; Venkateswaran, Sankaran; Govindan, T. R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction

AU - Kunz, Robert Francis

AU - Boger, David A.

AU - Stinebring, David R.

AU - Chyczewski, Thomas S.

AU - Lindau, Jules Washington V.

AU - Gibeling, Howard J.

AU - Venkateswaran, Sankaran

AU - Govindan, T. R.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - An implicit algorithm for the computation of viscous two-phase flows is presented in this paper. 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 well-suited 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- and three-dimensional examples are presented.

AB - An implicit algorithm for the computation of viscous two-phase flows is presented in this paper. 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 well-suited 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- and three-dimensional examples are presented.

UR - http://www.scopus.com/inward/record.url?scp=0033632615&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033632615&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033632615

VL - 25

SP - 849

EP - 875

JO - Annales de Chimie: Science des Materiaux

JF - Annales de Chimie: Science des Materiaux

SN - 0151-9107

IS - 3

ER -