Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor

Following the relative success of mixed models in the Large Eddy Simulation of complex turbulent flow configurations, an alternative formulation is suggested here which incorporates the concept of a local subgrid activity sensor. The general idea of mixed models is to combine the advantages of struc...

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Main Author: Josef Hasslberger
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/8/8/219
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author Josef Hasslberger
author_facet Josef Hasslberger
author_sort Josef Hasslberger
collection DOAJ
description Following the relative success of mixed models in the Large Eddy Simulation of complex turbulent flow configurations, an alternative formulation is suggested here which incorporates the concept of a local subgrid activity sensor. The general idea of mixed models is to combine the advantages of structural models (superior alignment properties), usually of the scale similarity type, and functional models (superior stability), usually of the eddy viscosity type, while avoiding their disadvantages. However, the key question is the mathematical realization of this combination, and the formulation in this work accounts for the local level of underresolution of the flow. The justification and evaluation of the newly proposed mixed model is based on a priori and a posteriori analysis of homogeneous isotropic turbulence and laminar–turbulent transition in the Taylor–Green vortex, respectively. The suggested model shows a robust and accurate behavior for the cases investigated. In particular, it outperforms the separate structural and functional base models as well as the simulation without an explicit subgrid-scale model.
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spelling doaj.art-5698ec6b19c34819ac053257f2a50e6b2023-11-19T01:04:34ZengMDPI AGFluids2311-55212023-07-018821910.3390/fluids8080219Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity SensorJosef Hasslberger0Institute of Applied Mathematics and Scientific Computing, Department of Aerospace Engineering, University of the Bundeswehr Munich, Werner-Heisenberg-Weg 39, 85577 Neubiberg, GermanyFollowing the relative success of mixed models in the Large Eddy Simulation of complex turbulent flow configurations, an alternative formulation is suggested here which incorporates the concept of a local subgrid activity sensor. The general idea of mixed models is to combine the advantages of structural models (superior alignment properties), usually of the scale similarity type, and functional models (superior stability), usually of the eddy viscosity type, while avoiding their disadvantages. However, the key question is the mathematical realization of this combination, and the formulation in this work accounts for the local level of underresolution of the flow. The justification and evaluation of the newly proposed mixed model is based on a priori and a posteriori analysis of homogeneous isotropic turbulence and laminar–turbulent transition in the Taylor–Green vortex, respectively. The suggested model shows a robust and accurate behavior for the cases investigated. In particular, it outperforms the separate structural and functional base models as well as the simulation without an explicit subgrid-scale model.https://www.mdpi.com/2311-5521/8/8/219large eddy simulationmixed modelingsubgrid activity sensora priori and a posteriori analysisTaylor–Green vortex
spellingShingle Josef Hasslberger
Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
Fluids
large eddy simulation
mixed modeling
subgrid activity sensor
a priori and a posteriori analysis
Taylor–Green vortex
title Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
title_full Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
title_fullStr Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
title_full_unstemmed Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
title_short Dynamic Mixed Modeling in Large Eddy Simulation Using the Concept of a Subgrid Activity Sensor
title_sort dynamic mixed modeling in large eddy simulation using the concept of a subgrid activity sensor
topic large eddy simulation
mixed modeling
subgrid activity sensor
a priori and a posteriori analysis
Taylor–Green vortex
url https://www.mdpi.com/2311-5521/8/8/219
work_keys_str_mv AT josefhasslberger dynamicmixedmodelinginlargeeddysimulationusingtheconceptofasubgridactivitysensor