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Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer.

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Title: Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer.
Authors: Avila, Matias1, Codina, R.2, Principe, Javier3
Source: International Journal of Numerical Methods for Heat & Fluid Flow. 2015, Vol. 25 Issue 6, p1361-1384. 24p.
Subjects: Heat radiation & absorption, Finite element method, Mach number, Approximation theory, Nonlinear equations, Mathematical models
Abstract: Purpose – The purpose of this paper is to present a finite element approximation of the low Mach number equations coupled with radiative equations to account for radiative heat transfer. For high-temperature flows this coupling can have strong effects on the temperature and velocity fields. Design/methodology/approach – The basic numerical formulation has been proposed in previous works. It is based on the variational multiscale (VMS) concept in which the unknowns of the problem are divided into resolved and subgrid parts which are modeled to consider their effect into the former. The aim of the present paper is to extend this modeling to the case in which the low Mach number equations are coupled with radiation, also introducing the concept of subgrid scales for the radiation equations. Findings – As in the non-radiative case, an important improvement in the accuracy of the numerical scheme is observed when the nonlinear effects of the subgrid scales are taken into account. Besides it is possible to show global conservation of thermal energy. Originality/value – The original contribution of the work is the proposal of keeping the VMS splitting into the nonlinear coupling between the low Mach number and the radiative transport equations, its numerical evaluation and the description of its properties. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Numerical Methods for Heat & Fluid Flow is the property of Emerald Publishing Limited 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: 108645971
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  Data: Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer.
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  Data: <searchLink fieldCode="AR" term="%22Avila%2C+Matias%22">Avila, Matias</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Codina%2C+R%2E%22">Codina, R.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Principe%2C+Javier%22">Principe, Javier</searchLink><relatesTo>3</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Numerical+Methods+for+Heat+%26+Fluid+Flow%22">International Journal of Numerical Methods for Heat & Fluid Flow</searchLink>. 2015, Vol. 25 Issue 6, p1361-1384. 24p.
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  Data: <searchLink fieldCode="DE" term="%22Heat+radiation+%26+absorption%22">Heat radiation & absorption</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Mach+number%22">Mach number</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+equations%22">Nonlinear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Purpose – The purpose of this paper is to present a finite element approximation of the low Mach number equations coupled with radiative equations to account for radiative heat transfer. For high-temperature flows this coupling can have strong effects on the temperature and velocity fields. Design/methodology/approach – The basic numerical formulation has been proposed in previous works. It is based on the variational multiscale (VMS) concept in which the unknowns of the problem are divided into resolved and subgrid parts which are modeled to consider their effect into the former. The aim of the present paper is to extend this modeling to the case in which the low Mach number equations are coupled with radiation, also introducing the concept of subgrid scales for the radiation equations. Findings – As in the non-radiative case, an important improvement in the accuracy of the numerical scheme is observed when the nonlinear effects of the subgrid scales are taken into account. Besides it is possible to show global conservation of thermal energy. Originality/value – The original contribution of the work is the proposal of keeping the VMS splitting into the nonlinear coupling between the low Mach number and the radiative transport equations, its numerical evaluation and the description of its properties. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Numerical Methods for Heat & Fluid Flow is the property of Emerald Publishing Limited 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:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1108/HFF-07-2014-0238
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 1361
    Subjects:
      – SubjectFull: Heat radiation & absorption
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Mach number
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Nonlinear equations
        Type: general
      – SubjectFull: Mathematical models
        Type: general
    Titles:
      – TitleFull: Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer.
        Type: main
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          Name:
            NameFull: Avila, Matias
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            NameFull: Codina, R.
      – PersonEntity:
          Name:
            NameFull: Principe, Javier
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          Dates:
            – D: 01
              M: 09
              Text: 2015
              Type: published
              Y: 2015
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              Value: 25
            – Type: issue
              Value: 6
          Titles:
            – TitleFull: International Journal of Numerical Methods for Heat & Fluid Flow
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