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Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development

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Název: Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development
Autoři: H. C. Yee, Björn Sjögreen
Zdroj: Fluids, Vol 9, Iss 6, p 127 (2024)
Informace o vydavateli: MDPI AG
Rok vydání: 2024
Sbírka: Directory of Open Access Journals: DOAJ Articles
Témata: conservative entropy split methods, high-order physics-preserving methods, structure-preserving methods, hybrid methods, nonlinear filter methods, compact methods, Thermodynamics, QC310.15-319, Descriptive and experimental mechanics, QC120-168.85
Popis: This comprehensive overview presents our continued efforts in high-order finite difference method (FDM) development for adaptive numerical dissipation control in the long-time integration of direct numerical simulation (DNS), large eddy simulation (LES), and implicit LES (ILES) computations of compressible turbulence for gas dynamics and MHD. The focus is on turbulence with shock wave numerical simulations using the adaptive blending of high-order structure-preserving non-dissipative methods (classical central, Padé (compact), and dispersion relation-preserving (DRP)) with high-order shock-capturing methods in such a way that high-order shock-capturing methods are active only in the vicinity of shock/shear waves, and high-gradient and spurious high-frequency oscillation regions guided via flow sensors. Any efficient and high-resolution high-order shock-capturing methods are good candidates for the blending of methods procedure. Typically, the adaptive blending of more than one method falls under two camps: hybrid methods and nonlinear filter methods. They are applicable to unstructured finite volume, finite element, discontinuous Galerkin, and spectral element methods. This work represents the culmination of over 20 years of high-order FDM developments and hands-on experience by the authors and collaborators in adaptive numerical dissipation control using the “high order nonlinear filter approach”. Extensions of these FDM versions to curvilinear nonuniform, freestream-preserving moving grids and time-varying deforming grids were also developed. By examining the construction of these two approaches using the high-order multistage type of temporal discretization, the nonlinear filter approach is made more efficient and less CPU-intensive while obtaining similar accuracy. A representative variety of test cases that compare the various blending of high-order methods with standalone standard methods is illustrated. Due to the fact that our nonlinear filter methods are not well known in compressible turbulence with ...
Druh dokumentu: article in journal/newspaper
Jazyk: English
Relation: https://www.mdpi.com/2311-5521/9/6/127; https://doaj.org/toc/2311-5521; https://doaj.org/article/51b50a50584b49afb81c410802191da6
DOI: 10.3390/fluids9060127
Dostupnost: https://doi.org/10.3390/fluids9060127
https://doaj.org/article/51b50a50584b49afb81c410802191da6
Přístupové číslo: edsbas.22AC5E51
Databáze: BASE
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  – Url: https://doi.org/10.3390/fluids9060127#
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  Data: Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development
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  Data: <searchLink fieldCode="AR" term="%22H%2E+C%2E+Yee%22">H. C. Yee</searchLink><br /><searchLink fieldCode="AR" term="%22Björn+Sjögreen%22">Björn Sjögreen</searchLink>
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  Data: Fluids, Vol 9, Iss 6, p 127 (2024)
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  Data: MDPI AG
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  Label: Publication Year
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  Data: 2024
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  Data: Directory of Open Access Journals: DOAJ Articles
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  Data: <searchLink fieldCode="DE" term="%22conservative+entropy+split+methods%22">conservative entropy split methods</searchLink><br /><searchLink fieldCode="DE" term="%22high-order+physics-preserving+methods%22">high-order physics-preserving methods</searchLink><br /><searchLink fieldCode="DE" term="%22structure-preserving+methods%22">structure-preserving methods</searchLink><br /><searchLink fieldCode="DE" term="%22hybrid+methods%22">hybrid methods</searchLink><br /><searchLink fieldCode="DE" term="%22nonlinear+filter+methods%22">nonlinear filter methods</searchLink><br /><searchLink fieldCode="DE" term="%22compact+methods%22">compact methods</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamics%22">Thermodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22QC310%2E15-319%22">QC310.15-319</searchLink><br /><searchLink fieldCode="DE" term="%22Descriptive+and+experimental+mechanics%22">Descriptive and experimental mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22QC120-168%2E85%22">QC120-168.85</searchLink>
– Name: Abstract
  Label: Description
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  Data: This comprehensive overview presents our continued efforts in high-order finite difference method (FDM) development for adaptive numerical dissipation control in the long-time integration of direct numerical simulation (DNS), large eddy simulation (LES), and implicit LES (ILES) computations of compressible turbulence for gas dynamics and MHD. The focus is on turbulence with shock wave numerical simulations using the adaptive blending of high-order structure-preserving non-dissipative methods (classical central, Padé (compact), and dispersion relation-preserving (DRP)) with high-order shock-capturing methods in such a way that high-order shock-capturing methods are active only in the vicinity of shock/shear waves, and high-gradient and spurious high-frequency oscillation regions guided via flow sensors. Any efficient and high-resolution high-order shock-capturing methods are good candidates for the blending of methods procedure. Typically, the adaptive blending of more than one method falls under two camps: hybrid methods and nonlinear filter methods. They are applicable to unstructured finite volume, finite element, discontinuous Galerkin, and spectral element methods. This work represents the culmination of over 20 years of high-order FDM developments and hands-on experience by the authors and collaborators in adaptive numerical dissipation control using the “high order nonlinear filter approach”. Extensions of these FDM versions to curvilinear nonuniform, freestream-preserving moving grids and time-varying deforming grids were also developed. By examining the construction of these two approaches using the high-order multistage type of temporal discretization, the nonlinear filter approach is made more efficient and less CPU-intensive while obtaining similar accuracy. A representative variety of test cases that compare the various blending of high-order methods with standalone standard methods is illustrated. Due to the fact that our nonlinear filter methods are not well known in compressible turbulence with ...
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  Data: article in journal/newspaper
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  Data: https://www.mdpi.com/2311-5521/9/6/127; https://doaj.org/toc/2311-5521; https://doaj.org/article/51b50a50584b49afb81c410802191da6
– Name: DOI
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  Data: 10.3390/fluids9060127
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  Data: https://doi.org/10.3390/fluids9060127<br />https://doaj.org/article/51b50a50584b49afb81c410802191da6
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        Value: 10.3390/fluids9060127
    Languages:
      – Text: English
    Subjects:
      – SubjectFull: conservative entropy split methods
        Type: general
      – SubjectFull: high-order physics-preserving methods
        Type: general
      – SubjectFull: structure-preserving methods
        Type: general
      – SubjectFull: hybrid methods
        Type: general
      – SubjectFull: nonlinear filter methods
        Type: general
      – SubjectFull: compact methods
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      – SubjectFull: Thermodynamics
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      – SubjectFull: Descriptive and experimental mechanics
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      – SubjectFull: QC120-168.85
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      – TitleFull: Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development
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            – TitleFull: Fluids, Vol 9, Iss 6, p 127 (2024
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