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Title: 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:
 [1];  [1];  [1];  [2];  [1]
  1. Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, Boltzmannstr. 15, Garching bei München (Germany)
  2. (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}
}