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Reduced order stochastic modeling of turbulent mixing based on conservative baker’s maps

  • The detailed numerical representation of turbulent mixing processes is a standing challenge for non-premixed chemically reacting flows. The full range of relevant flow scales needs to be captured and it is also necessary to distinguish turbulent advective from molecular diffusive processes in order to represent Reynolds and Schmidt number effects. These requirements are addressed here by utilizing two different map-based stochastic turbulence modeling strategies. The one-dimensional turbulence (ODT) model utilizes event-based turbulence modeling, whereas the hierarchical parcel-swapping (HiPS) model is a fully event-based mixing model. ODT provides full-scale resolution at affordable costs by dimensional model reduction based on the boundary-layer approximation to shear flow. HiPS is far less costly than ODT but currently limited to locally homogeneous isotropic turbulence. The physics-compatible modeling capabilities with respect to phase-space representation of turbulent mixing are demonstrated for two canonical cases usingThe detailed numerical representation of turbulent mixing processes is a standing challenge for non-premixed chemically reacting flows. The full range of relevant flow scales needs to be captured and it is also necessary to distinguish turbulent advective from molecular diffusive processes in order to represent Reynolds and Schmidt number effects. These requirements are addressed here by utilizing two different map-based stochastic turbulence modeling strategies. The one-dimensional turbulence (ODT) model utilizes event-based turbulence modeling, whereas the hierarchical parcel-swapping (HiPS) model is a fully event-based mixing model. ODT provides full-scale resolution at affordable costs by dimensional model reduction based on the boundary-layer approximation to shear flow. HiPS is far less costly than ODT but currently limited to locally homogeneous isotropic turbulence. The physics-compatible modeling capabilities with respect to phase-space representation of turbulent mixing are demonstrated for two canonical cases using standalone model formulations.show moreshow less

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Metadaten
Author: Marten KleinORCiD, Tommy StarickORCiD, Christian Zenker, Juan Alí Medina MéndezORCiD, Heiko SchmidtORCiD
URL:https://etmm.ercoftac.org/etmm/program/conference-program/
URL:https://drive.google.com/file/d/1q2BDOO5bXfqq0Y4z4HCGndiFI033bPyg/view?usp=drive_link
Title of the source (English):Proceedings of the 14th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements (ETMM-14)
Publisher:ERCOFTAC
Place of publication:Barcelona, Spain
Document Type:Conference publication peer-reviewed
Language:English
Year of publication:2023
Tag:hierarchical parcel swapping (HiPS); one-dimensional turbulence (ODT); passive scalar; round jet; stochastic turbulence modeling; turbulent mixing
First Page:613
Last Page:618
Article number:152
Fundername (not EU):Bundesministerium für Bildung und Forschung
Project number (not EU):85056897; 03SF0693A; 03EWS002A
Way of publication:Open Access
Faculty/Chair:Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Numerische Strömungs- und Gasdynamik
Zentrale Einrichtungen / Energie-Innovationszentrum / Scientific Computing Lab
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