### 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 language | English (US) |
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Title of host publication | Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 |

Pages | 3-24 |

Number of pages | 22 |

DOIs | |

State | Published - Dec 1 2009 |

Event | 2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 - San Diego, CA, United States Duration: Jun 15 2009 → Jun 18 2009 |

### Publication series

Name | Department of Defense Proceedings of the High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 |
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### Other

Other | 2009 DoD High Performance Computing Modernization Program - Users Group Conference, HPCMP-UGC 2009 |
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Country | United States |

City | San Diego, CA |

Period | 6/15/09 → 6/18/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Theory and Mathematics
- Theoretical Computer Science

### Cite this

*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

}

*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.

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