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2020 | OriginalPaper | Chapter

3. 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

Authors : M. Valorani, F. Creta, P. P. Ciottoli, R. Malpica Galassi, D. A. Goussis, H. N. Najm, S. Paolucci, H. G. Im, E.-A. Tingas, D. M. Manias, A. Parente, Z. Li, T. Grenga

Published in: Data Analysis for Direct Numerical Simulations of Turbulent Combustion

Publisher: Springer International Publishing

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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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Footnotes
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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Metadata
Title
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
Authors
M. Valorani
F. Creta
P. P. Ciottoli
R. Malpica Galassi
D. A. Goussis
H. N. Najm
S. Paolucci
H. G. Im
E.-A. Tingas
D. M. Manias
A. Parente
Z. Li
T. Grenga
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-44718-2_3

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