Necessary and Sufficient Conditions for Accurate Reduced Kinetic Mechanisms to Have Fidelity in Reactive Flow Simulations.

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Title: Necessary and Sufficient Conditions for Accurate Reduced Kinetic Mechanisms to Have Fidelity in Reactive Flow Simulations.
Authors: Bellan, Josette1 (AUTHOR) jbellan@caltech.edu
Source: Combustion Science & Technology. 2026, Vol. 198 Issue 6, p1628-1669. 42p.
Subject Terms: *Reactive flow, *Chemical kinetics, *Navier-Stokes equations, *Chemical species, *Oxidation kinetics
Abstract: To date, there is still an inability to efficiently solve the Navier–Stokes equations for reactive flows in conjunction with lengthy and complex chemical kinetics describing oxidation of realistic fuels. Therefore, reduced kinetic mechanisms are sought that are as compact as possible, so as to reduce the number of species equations solved. However, there is a quandary for flow simulations as to whether compact reduced mechanisms could emulate hypothetical flow simulations using the template kinetics from which the reduced mechanism was obtained. In this study, necessary and sufficient conditions are derived for this emulation to occur. The proposed concepts, self-similarity and partitioning the ensemble of species into computed and non-computed species, are the building blocks of the chemical kinetic reduction in the Local Self-Similarity Tabulation method. It is shown that employing the same species partitioning concept for flow simulations must be accompanied by several conditions which must be satisfied for the simulation to be a good approximation of the hypothetical simulation using the template kinetic mechanism. These conditions represent the necessary and sufficient conditions criteria. There are indications from the literature that these criteria are not necessarily satisfied. A protocol is proposed for checking whether these conditions are fulfilled for any selected reduced mechanism. Several possibilities are advanced to palliate for lack of fulfillment of these criteria. Research gaps are identified that must be filled to enable successful utilization of reduced mechanisms in reactive flow simulations, and procedures to mitigate these gaps are outlined. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Header DbId: enr
DbLabel: Energy & Power Source
An: 192729306
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Necessary and Sufficient Conditions for Accurate Reduced Kinetic Mechanisms to Have Fidelity in Reactive Flow Simulations.
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  Data: <searchLink fieldCode="AR" term="%22Bellan%2C+Josette%22">Bellan, Josette</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jbellan@caltech.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Combustion+Science+%26+Technology%22">Combustion Science & Technology</searchLink>. 2026, Vol. 198 Issue 6, p1628-1669. 42p.
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  Data: *<searchLink fieldCode="DE" term="%22Reactive+flow%22">Reactive flow</searchLink><br />*<searchLink fieldCode="DE" term="%22Chemical+kinetics%22">Chemical kinetics</searchLink><br />*<searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Chemical+species%22">Chemical species</searchLink><br />*<searchLink fieldCode="DE" term="%22Oxidation+kinetics%22">Oxidation kinetics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: To date, there is still an inability to efficiently solve the Navier–Stokes equations for reactive flows in conjunction with lengthy and complex chemical kinetics describing oxidation of realistic fuels. Therefore, reduced kinetic mechanisms are sought that are as compact as possible, so as to reduce the number of species equations solved. However, there is a quandary for flow simulations as to whether compact reduced mechanisms could emulate hypothetical flow simulations using the template kinetics from which the reduced mechanism was obtained. In this study, necessary and sufficient conditions are derived for this emulation to occur. The proposed concepts, self-similarity and partitioning the ensemble of species into computed and non-computed species, are the building blocks of the chemical kinetic reduction in the Local Self-Similarity Tabulation method. It is shown that employing the same species partitioning concept for flow simulations must be accompanied by several conditions which must be satisfied for the simulation to be a good approximation of the hypothetical simulation using the template kinetic mechanism. These conditions represent the necessary and sufficient conditions criteria. There are indications from the literature that these criteria are not necessarily satisfied. A protocol is proposed for checking whether these conditions are fulfilled for any selected reduced mechanism. Several possibilities are advanced to palliate for lack of fulfillment of these criteria. Research gaps are identified that must be filled to enable successful utilization of reduced mechanisms in reactive flow simulations, and procedures to mitigate these gaps are outlined. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/00102202.2025.2513968
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 42
        StartPage: 1628
    Subjects:
      – SubjectFull: Reactive flow
        Type: general
      – SubjectFull: Chemical kinetics
        Type: general
      – SubjectFull: Navier-Stokes equations
        Type: general
      – SubjectFull: Chemical species
        Type: general
      – SubjectFull: Oxidation kinetics
        Type: general
    Titles:
      – TitleFull: Necessary and Sufficient Conditions for Accurate Reduced Kinetic Mechanisms to Have Fidelity in Reactive Flow Simulations.
        Type: main
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          Name:
            NameFull: Bellan, Josette
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            – D: 15
              M: 04
              Text: 2026
              Type: published
              Y: 2026
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              Value: 198
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              Value: 6
          Titles:
            – TitleFull: Combustion Science & Technology
              Type: main
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