A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction

Robert Francis Kunz, Dairid A. Boger, David R. Stinebring, Thomas S. Chyczewski, Howard J. Gibeling, Sankararn Venkateswaran, T. R. Govindan

Research output: Contribution to conferencePaper

4 Citations (Scopus)

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 languageEnglish (US)
Pages676-688
Number of pages13
StatePublished - Jan 1 1999
Event14th Computational Fluid Dynamics Conference, 1999 - Norfolk, United States
Duration: Nov 1 1999Nov 5 1999

Other

Other14th Computational Fluid Dynamics Conference, 1999
CountryUnited States
CityNorfolk
Period11/1/9911/5/99

Fingerprint

Cavitation
Two phase flow
Volume fraction
Computational efficiency
Boiling liquids
Navier Stokes equations
Flow of fluids
Momentum
Differential equations
Vapors
Derivatives
Liquids
Gases

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Kunz, R. F., Boger, D. A., Stinebring, D. R., Chyczewski, T. S., Gibeling, H. J., Venkateswaran, S., & Govindan, T. R. (1999). 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.
Kunz, Robert Francis ; Boger, Dairid A. ; Stinebring, David R. ; Chyczewski, Thomas S. ; Gibeling, Howard J. ; Venkateswaran, Sankararn ; Govindan, T. R. / A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction. Paper presented at 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States.13 p.
@conference{33826b711ccb46c6a017a24df379bf07,
title = "A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction",
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.",
author = "Kunz, {Robert Francis} and Boger, {Dairid A.} and Stinebring, {David R.} and Chyczewski, {Thomas S.} and Gibeling, {Howard J.} and Sankararn Venkateswaran and Govindan, {T. R.}",
year = "1999",
month = "1",
day = "1",
language = "English (US)",
pages = "676--688",
note = "14th Computational Fluid Dynamics Conference, 1999 ; Conference date: 01-11-1999 Through 05-11-1999",

}

Kunz, RF, Boger, DA, Stinebring, DR, Chyczewski, TS, Gibeling, HJ, Venkateswaran, S & Govindan, TR 1999, 'A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction' Paper presented at 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States, 11/1/99 - 11/5/99, pp. 676-688.

A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction. / Kunz, Robert Francis; Boger, Dairid A.; Stinebring, David R.; Chyczewski, Thomas S.; Gibeling, Howard J.; Venkateswaran, Sankararn; Govindan, T. R.

1999. 676-688 Paper presented at 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States.

Research output: Contribution to conferencePaper

TY - CONF

T1 - A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction

AU - Kunz, Robert Francis

AU - Boger, Dairid A.

AU - Stinebring, David R.

AU - Chyczewski, Thomas S.

AU - Gibeling, Howard J.

AU - Venkateswaran, Sankararn

AU - Govindan, T. R.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84983208737&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84983208737&partnerID=8YFLogxK

M3 - Paper

SP - 676

EP - 688

ER -

Kunz RF, Boger DA, Stinebring DR, Chyczewski TS, Gibeling HJ, Venkateswaran S et al. A preconditioned navier-stokes method for two-phase flows with application to Cavitation prediction. 1999. Paper presented at 14th Computational Fluid Dynamics Conference, 1999, Norfolk, United States.