A level-set approach for large scale cavitation

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.

Original languageEnglish (US)
Title of host publicationDepartment of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009
Pages3-24
Number of pages22
DOIs
StatePublished - Dec 1 2009
Event2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 - San Diego, CA, United States
Duration: Jun 15 2009Jun 18 2009

Publication series

NameDepartment of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

Other

Other2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009
CountryUnited States
CitySan Diego, CA
Period6/15/096/18/09

Fingerprint

Level-set Approach
Cavitation
Multiphase flow
Conservation
Boiling liquids
Momentum
Mass transfer
Level Set
Fluids
Mass Conservation
Multiphase Flow
Transport Equation
Scale Mixture
Mass Transfer
Distance Function
Signed
Numerics
Chemistry
Shock
Valid

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Theoretical Computer Science

Cite this

Kinzel, M. P., Lindau, J. W. V., & Kunz, R. F. (2009). A level-set approach for large scale cavitation. In Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 (pp. 3-24). [5729439] (Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009). https://doi.org/10.1109/HPCMP-UGC.2009.8
Kinzel, Michael P. ; Lindau, Jules Washington V. ; Kunz, Robert Francis. / A level-set approach for large scale cavitation. Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009. 2009. pp. 3-24 (Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009).
@inproceedings{c5325e7de52148e1b65f25c7d46f5fd9,
title = "A level-set approach for large scale cavitation",
abstract = "In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.",
author = "Kinzel, {Michael P.} and Lindau, {Jules Washington V.} and Kunz, {Robert Francis}",
year = "2009",
month = "12",
day = "1",
doi = "10.1109/HPCMP-UGC.2009.8",
language = "English (US)",
isbn = "9780769539461",
series = "Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009",
pages = "3--24",
booktitle = "Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009",

}

Kinzel, MP, Lindau, JWV & Kunz, RF 2009, A level-set approach for large scale cavitation. in Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009., 5729439, Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009, pp. 3-24, 2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009, San Diego, CA, United States, 6/15/09. https://doi.org/10.1109/HPCMP-UGC.2009.8

A level-set approach for large scale cavitation. / Kinzel, Michael P.; Lindau, Jules Washington V.; Kunz, Robert Francis.

Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009. 2009. p. 3-24 5729439 (Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - A level-set approach for large scale cavitation

AU - Kinzel, Michael P.

AU - Lindau, Jules Washington V.

AU - Kunz, Robert Francis

PY - 2009/12/1

Y1 - 2009/12/1

N2 - In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.

AB - In this work, a new level-set-based approach is presented and applied to compressible, multiphase flows. Using a species-mass-conservation-based level-set transport equation, several advantages over signed-distance-function- based methods are demonstrated. Specific improvements include a ghost-fluid-free method for highly compressible problems, extensions to an arbitrary number of specie, and finite-rate chemistry mass transfer modeling. While maintaining higher-order numerics, the approach is applicable to three-dimensional (3D), time-accurate/steady, turbulent simulations. Herein, the method is applied to a flow solver that fully couples the mass, momentum, energy, and level-set transport equation; although the methods are equally applicable to segregated flow solvers. The methods are tested for ventilated supercavities, natural cavitation (incompressible, compressible, and thermal), and shock-induced boiling. Lastly, new reinitialization methods are developed specific to cavitating flows that decrease the interface diffusion where needed, while retaining an ability to admit subgrid-scale mixtures. Such an approach enables a more physical solution method for certain classes of multiphase flows. This formulation of the level-set approach is a general, valid, method that could easily be incorporated into any species-mass conservation solver.

UR - http://www.scopus.com/inward/record.url?scp=79953152656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953152656&partnerID=8YFLogxK

U2 - 10.1109/HPCMP-UGC.2009.8

DO - 10.1109/HPCMP-UGC.2009.8

M3 - Conference contribution

SN - 9780769539461

T3 - Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

SP - 3

EP - 24

BT - Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009

ER -

Kinzel MP, Lindau JWV, Kunz RF. A level-set approach for large scale cavitation. In Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009. 2009. p. 3-24. 5729439. (Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009). https://doi.org/10.1109/HPCMP-UGC.2009.8