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Computational Singular Perturbation Method and Tangential Stretching Rate Analysis of Large Scale Simulations of Reactive Flows: Feature Tracking, Time Scale Characterization, and Cause/Effect Identification. Part 1, Basic Concepts

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Data Analysis for Direct Numerical Simulations of Turbulent Combustion

Abstract

This chapter provides a review of the basic ideas at the core of the Computational Singular Perturbation (CSP) method and the Tangential Stretching Rate (TSR) analysis. It includes a coherent summary of the theoretical foundations of these two methodologies while emphasizing their mutual interconnections. The main theoretical findings are presented in a systematic fashion. Their virtues and limitations will be discussed with reference to auto-ignition systems, laminar and turbulent premixed flames, and non-premixed jet flames. The material presented in the chapter constitutes an effective guideline for further studies.

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Notes

  1. 1.

    In the application of the criterion defined by Eq. (3.17), special care is required to manage the contribution of complex conjugate eigenvalues and eigenvectors.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, 00184, Rome, Italy

    M. Valorani, F. Creta, P. P. Ciottoli & R. Malpica Galassi

  2. Khalifa University of Science and Technology, Abu Dhabi, UAE

    D. A. Goussis

  3. Sandia National Laboratories, Albuquerque, CA, USA

    H. N. Najm

  4. University of Notre Dame, Notre Dame, IN, USA

    S. Paolucci

  5. KAUST, Thuwal, Saudi Arabia

    H. G. Im

  6. Perth College, University of the Highlands and Islands (UHI), Perth, UK

    E.-A. Tingas

  7. National Technical University of Athens, Athens, Greece

    D. M. Manias

  8. ULB, Bruxelles, Belgium

    A. Parente & Z. Li

  9. Institute for Combustion Technology RWTH Aachen University, 52062, Aachen, Germany

    T. Grenga

Authors
  1. M. Valorani
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  2. F. Creta
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  3. P. P. Ciottoli
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  12. Z. Li
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  13. T. Grenga
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Corresponding author

Correspondence to M. Valorani .

Editor information

Editors and Affiliations

  1. Institute for Combustion Technology, RWTH Aachen University, Aachen, Germany

    Heinz Pitsch

  2. Institute for Combustion Technology, RWTH Aachen University, Aachen, Germany

    Antonio Attili

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Valorani, M. et al. (2020). Computational Singular Perturbation Method and Tangential Stretching Rate Analysis of Large Scale Simulations of Reactive Flows: Feature Tracking, Time Scale Characterization, and Cause/Effect Identification. Part 1, Basic Concepts. In: Pitsch, H., Attili, A. (eds) Data Analysis for Direct Numerical Simulations of Turbulent Combustion. Springer, Cham. https://doi.org/10.1007/978-3-030-44718-2_3

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