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An accurate shock-capturing scheme based on rotated-hybrid Riemann solver.

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Title: An accurate shock-capturing scheme based on rotated-hybrid Riemann solver.
Authors: Tchuen, Ghislain1, Kapen, Pascalin Tiam1, Burtschell, Yves2
Source: International Journal of Numerical Methods for Heat & Fluid Flow. 2016, Vol. 26 Issue 5, p1310-1327. 18p.
Subjects: Time series analysis, Pyoderma, Carbuncle, Velocity, Solar eclipses
Abstract: Purpose – The purpose of this paper is to present a new hybrid Euler flux fonction for use in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Design/methodology/approach – The proposed scheme, called AUFSRR can be devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach (Sun and Takayama, 2003; Ren, 2003). The upwind direction is determined by the velocity-difference vector and idea is to apply the AUFS solver in the direction normal to shocks to suppress carbuncle and the Roe solver across shear layers to avoid an excessive amount of dissipation. The resulting flux functions can be implemented in a very simple manner, in the form of the Roe solver with modified wave speeds, so that converting an existing AUFS flux code into the new fluxes is an extremely simple task. Findings – The proposed flux functions require about 18 per cent more CPU time than the Roe flux. Accuracy, efficiency and other essential features of AUFSRR scheme are evaluated by analyzing shock propagation behaviours for both the steady and unsteady compressible flows. This is demonstrated by several test cases (1D and 2D) with standard finite-volume Euler code, by comparing results with existing methods. Practical implications – The hybrid Euler flux function is used in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Originality/value – The AUFSRR scheme is devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach. [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: 116003753
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IllustrationInfo
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  Label: Title
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  Data: An accurate shock-capturing scheme based on rotated-hybrid Riemann solver.
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  Data: <searchLink fieldCode="AR" term="%22Tchuen%2C+Ghislain%22">Tchuen, Ghislain</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Kapen%2C+Pascalin+Tiam%22">Kapen, Pascalin Tiam</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Burtschell%2C+Yves%22">Burtschell, Yves</searchLink><relatesTo>2</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>. 2016, Vol. 26 Issue 5, p1310-1327. 18p.
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  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Time+series+analysis%22">Time series analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Pyoderma%22">Pyoderma</searchLink><br /><searchLink fieldCode="DE" term="%22Carbuncle%22">Carbuncle</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity%22">Velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Solar+eclipses%22">Solar eclipses</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Purpose – The purpose of this paper is to present a new hybrid Euler flux fonction for use in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Design/methodology/approach – The proposed scheme, called AUFSRR can be devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach (Sun and Takayama, 2003; Ren, 2003). The upwind direction is determined by the velocity-difference vector and idea is to apply the AUFS solver in the direction normal to shocks to suppress carbuncle and the Roe solver across shear layers to avoid an excessive amount of dissipation. The resulting flux functions can be implemented in a very simple manner, in the form of the Roe solver with modified wave speeds, so that converting an existing AUFS flux code into the new fluxes is an extremely simple task. Findings – The proposed flux functions require about 18 per cent more CPU time than the Roe flux. Accuracy, efficiency and other essential features of AUFSRR scheme are evaluated by analyzing shock propagation behaviours for both the steady and unsteady compressible flows. This is demonstrated by several test cases (1D and 2D) with standard finite-volume Euler code, by comparing results with existing methods. Practical implications – The hybrid Euler flux function is used in a finite-volume Euler/Navier-Stokes code and adapted to compressible flow problems. Originality/value – The AUFSRR scheme is devised by combining the AUFS solver and the Roe solver, based on a rotated Riemann solver approach. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  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:
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    Identifiers:
      – Type: doi
        Value: 10.1108/HFF-01-2015-0031
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 1310
    Subjects:
      – SubjectFull: Time series analysis
        Type: general
      – SubjectFull: Pyoderma
        Type: general
      – SubjectFull: Carbuncle
        Type: general
      – SubjectFull: Velocity
        Type: general
      – SubjectFull: Solar eclipses
        Type: general
    Titles:
      – TitleFull: An accurate shock-capturing scheme based on rotated-hybrid Riemann solver.
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            NameFull: Tchuen, Ghislain
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            NameFull: Kapen, Pascalin Tiam
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            NameFull: Burtschell, Yves
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          Dates:
            – D: 01
              M: 07
              Text: 2016
              Type: published
              Y: 2016
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              Value: 09615539
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              Value: 26
            – Type: issue
              Value: 5
          Titles:
            – TitleFull: International Journal of Numerical Methods for Heat & Fluid Flow
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