# Efficient implicit LES method for the simulation of turbulent cavitating flows

## Abstract

We present a numerical method for efficient large-eddy simulation of compressible liquid flows with cavitation based on an implicit subgrid-scale model. Phase change and subgrid-scale interface structures are modeled by a homogeneous mixture model that assumes local thermodynamic equilibrium. Unlike previous approaches, emphasis is placed on operating on a small stencil (at most four cells). The truncation error of the discretization is designed to function as a physically consistent subgrid-scale model for turbulence. We formulate a sensor functional that detects shock waves or pseudo-phase boundaries within the homogeneous mixture model for localizing numerical dissipation. In smooth regions of the flow field, a formally non-dissipative central discretization scheme is used in combination with a regularization term to model the effect of unresolved subgrid scales. The new method is validated by computing standard single- and two-phase test-cases. Comparison of results for a turbulent cavitating mixing layer obtained with the new method demonstrates its suitability for the target applications.

- Authors:

- Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, Boltzmannstr. 15, Garching bei München (Germany)
- (Netherlands)

- Publication Date:

- OSTI Identifier:
- 22572325

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Computational Physics; Journal Volume: 316; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAVITATION; COMPRESSIBLE FLOW; DESIGN; ERRORS; FUNCTIONS; HOMOGENEOUS MIXTURES; INTERFACES; LARGE-EDDY SIMULATION; LAYERS; LIQUID FLOW; LIQUIDS; LTE; MIXING; MULTIPHASE FLOW; SCALE MODELS; SENSORS; SHOCK WAVES; STANDARDS; TURBULENCE

### Citation Formats

```
Egerer, Christian P., E-mail: christian.egerer@aer.mw.tum.de, Schmidt, Steffen J., Hickel, Stefan, Aerodynamics Group, Faculty of Aerospace Engineering, Technische Universiteit Delft, P.O. Box 5058, 2600 GB Delft, and Adams, Nikolaus A.
```*Efficient implicit LES method for the simulation of turbulent cavitating flows*. United States: N. p., 2016.
Web. doi:10.1016/J.JCP.2016.04.021.

```
Egerer, Christian P., E-mail: christian.egerer@aer.mw.tum.de, Schmidt, Steffen J., Hickel, Stefan, Aerodynamics Group, Faculty of Aerospace Engineering, Technische Universiteit Delft, P.O. Box 5058, 2600 GB Delft, & Adams, Nikolaus A.
```*Efficient implicit LES method for the simulation of turbulent cavitating flows*. United States. doi:10.1016/J.JCP.2016.04.021.

```
Egerer, Christian P., E-mail: christian.egerer@aer.mw.tum.de, Schmidt, Steffen J., Hickel, Stefan, Aerodynamics Group, Faculty of Aerospace Engineering, Technische Universiteit Delft, P.O. Box 5058, 2600 GB Delft, and Adams, Nikolaus A. Fri .
"Efficient implicit LES method for the simulation of turbulent cavitating flows". United States.
doi:10.1016/J.JCP.2016.04.021.
```

```
@article{osti_22572325,
```

title = {Efficient implicit LES method for the simulation of turbulent cavitating flows},

author = {Egerer, Christian P., E-mail: christian.egerer@aer.mw.tum.de and Schmidt, Steffen J. and Hickel, Stefan and Aerodynamics Group, Faculty of Aerospace Engineering, Technische Universiteit Delft, P.O. Box 5058, 2600 GB Delft and Adams, Nikolaus A.},

abstractNote = {We present a numerical method for efficient large-eddy simulation of compressible liquid flows with cavitation based on an implicit subgrid-scale model. Phase change and subgrid-scale interface structures are modeled by a homogeneous mixture model that assumes local thermodynamic equilibrium. Unlike previous approaches, emphasis is placed on operating on a small stencil (at most four cells). The truncation error of the discretization is designed to function as a physically consistent subgrid-scale model for turbulence. We formulate a sensor functional that detects shock waves or pseudo-phase boundaries within the homogeneous mixture model for localizing numerical dissipation. In smooth regions of the flow field, a formally non-dissipative central discretization scheme is used in combination with a regularization term to model the effect of unresolved subgrid scales. The new method is validated by computing standard single- and two-phase test-cases. Comparison of results for a turbulent cavitating mixing layer obtained with the new method demonstrates its suitability for the target applications.},

doi = {10.1016/J.JCP.2016.04.021},

journal = {Journal of Computational Physics},

number = ,

volume = 316,

place = {United States},

year = {Fri Jul 01 00:00:00 EDT 2016},

month = {Fri Jul 01 00:00:00 EDT 2016}

}