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Enforcing realizability in explicit multi-component species transport.

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Title: Enforcing realizability in explicit multi-component species transport.
Authors: McDermott, Randall J.1 randall.mcdermott@nist.gov, Floyd, Jason E.2
Source: Fire Safety Journal. Nov2015, Vol. 78, p180-187. 8p.
Subjects: Strategic planning, Time integration scheme, Fire prevention, Large eddy simulation models, Numerical analysis
Abstract: We propose a strategy to guarantee realizability of species mass fractions in explicit time integration of the partial differential equations governing fire dynamics, which is a multi-component transport problem (realizability requires all mass fractions that are greater than or equal to zero and that the sum equals unity). For a mixture of n species, the conventional strategy is to solve for n − 1 species mass fractions and to obtain the n th (or “background”) species mass fraction from one minus the sum of the others. The numerical difficulties inherent in the background species approach are discussed and the potential for realizability violations is illustrated. The new strategy solves all n species transport equations and obtains density from the sum of the species mass densities. To guarantee realizability the species mass densities must remain positive (semidefinite). A scalar boundedness correction is proposed that is based on a minimal diffusion operator. The overall scheme is implemented in a publicly available large-eddy simulation code called the Fire Dynamics Simulator. A set of test cases is presented to verify that the new strategy enforces realizability, does not generate spurious mass, and maintains second-order accuracy for transport. [ABSTRACT FROM AUTHOR]
Copyright of Fire Safety Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 111295991
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Enforcing realizability in explicit multi-component species transport.
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  Data: <searchLink fieldCode="JN" term="%22Fire+Safety+Journal%22">Fire Safety Journal</searchLink>. Nov2015, Vol. 78, p180-187. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Strategic+planning%22">Strategic planning</searchLink><br /><searchLink fieldCode="DE" term="%22Time+integration+scheme%22">Time integration scheme</searchLink><br /><searchLink fieldCode="DE" term="%22Fire+prevention%22">Fire prevention</searchLink><br /><searchLink fieldCode="DE" term="%22Large+eddy+simulation+models%22">Large eddy simulation models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
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  Data: We propose a strategy to guarantee realizability of species mass fractions in explicit time integration of the partial differential equations governing fire dynamics, which is a multi-component transport problem (realizability requires all mass fractions that are greater than or equal to zero and that the sum equals unity). For a mixture of n species, the conventional strategy is to solve for n − 1 species mass fractions and to obtain the n th (or “background”) species mass fraction from one minus the sum of the others. The numerical difficulties inherent in the background species approach are discussed and the potential for realizability violations is illustrated. The new strategy solves all n species transport equations and obtains density from the sum of the species mass densities. To guarantee realizability the species mass densities must remain positive (semidefinite). A scalar boundedness correction is proposed that is based on a minimal diffusion operator. The overall scheme is implemented in a publicly available large-eddy simulation code called the Fire Dynamics Simulator. A set of test cases is presented to verify that the new strategy enforces realizability, does not generate spurious mass, and maintains second-order accuracy for transport. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Fire Safety Journal is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.firesaf.2015.09.005
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 180
    Subjects:
      – SubjectFull: Strategic planning
        Type: general
      – SubjectFull: Time integration scheme
        Type: general
      – SubjectFull: Fire prevention
        Type: general
      – SubjectFull: Large eddy simulation models
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
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      – TitleFull: Enforcing realizability in explicit multi-component species transport.
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            NameFull: McDermott, Randall J.
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            NameFull: Floyd, Jason E.
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              Text: Nov2015
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              Y: 2015
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              Value: 78
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