Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation

Paulo L.K. Paes, James G. Brasseur, Yuan Xuan

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    2 Citations (Scopus)

    Abstract

    Large-Eddy Simulation (LES) is a powerful formulation for model turbulent reacting flows that balances lower resolution with predictions of variance dominant momentum and energy fluctuations. LES assumes that energy-dominated turbulence motions are resolved scale (RS) and forward cascade-dominant, so that modeled effects of sub-filter scale (SFS) motions are higher order. However, the application of this scale-based decomposition to reacting turbulent flows is problematic since dynamically important kinetics within thin flame regions are mostly SFS. Our aim here is systematic refined kinematics analysis of the relationships between coherent structure in physical and scale space relevant to LES of premixed turbulent combustion. We begin with reduced physics simulations of the interactions between single-scale vortex arrays and laminar premixed flames. To characterize physical-space/scale-space relationships, we apply the Fourier description using a newly developed procedure to remove spurious Fourier spectral content associated with boundary discontinuities in the non-periodic directions of bounded signals. Using Fourier-space filters, we identify characteristic coherent structural features concurrently in physical and Fourier space in response to flame-eddy interactions and their relative contributions to the SFS and RS variance content of the primary variables of interest (momentum, energy and species mass concentration). The primary variables within the dynamical system were classified based on RS vs. SFS variance content, and distinct structural features in physical and Fourier space were identified for each class. We show that the SFS variance for all variables analyzed is associated with the SFS corrugated flame front, which in 2D Fourier space is associated with a coherent broadband “star-like” pattern that extends from the resolved to the flame subfilter scales. The directional dependences, magnitudes and phase relationships among the Fourier coefficients within the “legs” of the star reflect the power-law spectral representation of fronts and are shown to be closely connected with the direction and magnitude of flame-normal gradients of key variables within the corrugated flame front. This work provides a deeper understanding of the relationships between coherent structural features of flame-turbulence interactions in physical space and Fourier space as a key step in the determination of dominant dynamical impacts of SFS content and the evolution of RS variables in LES of premixed turbulent combustion.

    Original languageEnglish (US)
    Title of host publicationAIAA Scitech 2019 Forum
    PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
    ISBN (Print)9781624105784
    DOIs
    StatePublished - Jan 1 2019
    EventAIAA Scitech Forum, 2019 - San Diego, United States
    Duration: Jan 7 2019Jan 11 2019

    Publication series

    NameAIAA Scitech 2019 Forum

    Conference

    ConferenceAIAA Scitech Forum, 2019
    CountryUnited States
    CitySan Diego
    Period1/7/191/11/19

    Fingerprint

    Large eddy simulation
    Kinematics
    Turbulent flow
    Stars
    Momentum
    Turbulence
    Dynamical systems
    Vortex flow
    Physics
    Decomposition
    Kinetics

    All Science Journal Classification (ASJC) codes

    • Aerospace Engineering

    Cite this

    Paes, P. L. K., Brasseur, J. G., & Xuan, Y. (2019). Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation. In AIAA Scitech 2019 Forum (AIAA Scitech 2019 Forum). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2019-2145
    Paes, Paulo L.K. ; Brasseur, James G. ; Xuan, Yuan. / Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation. AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA, 2019. (AIAA Scitech 2019 Forum).
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    abstract = "Large-Eddy Simulation (LES) is a powerful formulation for model turbulent reacting flows that balances lower resolution with predictions of variance dominant momentum and energy fluctuations. LES assumes that energy-dominated turbulence motions are resolved scale (RS) and forward cascade-dominant, so that modeled effects of sub-filter scale (SFS) motions are higher order. However, the application of this scale-based decomposition to reacting turbulent flows is problematic since dynamically important kinetics within thin flame regions are mostly SFS. Our aim here is systematic refined kinematics analysis of the relationships between coherent structure in physical and scale space relevant to LES of premixed turbulent combustion. We begin with reduced physics simulations of the interactions between single-scale vortex arrays and laminar premixed flames. To characterize physical-space/scale-space relationships, we apply the Fourier description using a newly developed procedure to remove spurious Fourier spectral content associated with boundary discontinuities in the non-periodic directions of bounded signals. Using Fourier-space filters, we identify characteristic coherent structural features concurrently in physical and Fourier space in response to flame-eddy interactions and their relative contributions to the SFS and RS variance content of the primary variables of interest (momentum, energy and species mass concentration). The primary variables within the dynamical system were classified based on RS vs. SFS variance content, and distinct structural features in physical and Fourier space were identified for each class. We show that the SFS variance for all variables analyzed is associated with the SFS corrugated flame front, which in 2D Fourier space is associated with a coherent broadband “star-like” pattern that extends from the resolved to the flame subfilter scales. The directional dependences, magnitudes and phase relationships among the Fourier coefficients within the “legs” of the star reflect the power-law spectral representation of fronts and are shown to be closely connected with the direction and magnitude of flame-normal gradients of key variables within the corrugated flame front. This work provides a deeper understanding of the relationships between coherent structural features of flame-turbulence interactions in physical space and Fourier space as a key step in the determination of dominant dynamical impacts of SFS content and the evolution of RS variables in LES of premixed turbulent combustion.",
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    Paes, PLK, Brasseur, JG & Xuan, Y 2019, Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation. in AIAA Scitech 2019 Forum. AIAA Scitech 2019 Forum, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Scitech Forum, 2019, San Diego, United States, 1/7/19. https://doi.org/10.2514/6.2019-2145

    Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation. / Paes, Paulo L.K.; Brasseur, James G.; Xuan, Yuan.

    AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA, 2019. (AIAA Scitech 2019 Forum).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    AB - Large-Eddy Simulation (LES) is a powerful formulation for model turbulent reacting flows that balances lower resolution with predictions of variance dominant momentum and energy fluctuations. LES assumes that energy-dominated turbulence motions are resolved scale (RS) and forward cascade-dominant, so that modeled effects of sub-filter scale (SFS) motions are higher order. However, the application of this scale-based decomposition to reacting turbulent flows is problematic since dynamically important kinetics within thin flame regions are mostly SFS. Our aim here is systematic refined kinematics analysis of the relationships between coherent structure in physical and scale space relevant to LES of premixed turbulent combustion. We begin with reduced physics simulations of the interactions between single-scale vortex arrays and laminar premixed flames. To characterize physical-space/scale-space relationships, we apply the Fourier description using a newly developed procedure to remove spurious Fourier spectral content associated with boundary discontinuities in the non-periodic directions of bounded signals. Using Fourier-space filters, we identify characteristic coherent structural features concurrently in physical and Fourier space in response to flame-eddy interactions and their relative contributions to the SFS and RS variance content of the primary variables of interest (momentum, energy and species mass concentration). The primary variables within the dynamical system were classified based on RS vs. SFS variance content, and distinct structural features in physical and Fourier space were identified for each class. We show that the SFS variance for all variables analyzed is associated with the SFS corrugated flame front, which in 2D Fourier space is associated with a coherent broadband “star-like” pattern that extends from the resolved to the flame subfilter scales. The directional dependences, magnitudes and phase relationships among the Fourier coefficients within the “legs” of the star reflect the power-law spectral representation of fronts and are shown to be closely connected with the direction and magnitude of flame-normal gradients of key variables within the corrugated flame front. This work provides a deeper understanding of the relationships between coherent structural features of flame-turbulence interactions in physical space and Fourier space as a key step in the determination of dominant dynamical impacts of SFS content and the evolution of RS variables in LES of premixed turbulent combustion.

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    Paes PLK, Brasseur JG, Xuan Y. Kinematic relationships between physical and fourier space in premixed turbulent combustion for application to large-eddy simulation. In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics Inc, AIAA. 2019. (AIAA Scitech 2019 Forum). https://doi.org/10.2514/6.2019-2145