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7 Subgrid models

  • Bernard J. Geurts
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Direct and Large-Eddy Simulation
Ein Kapitel aus dem Buch Direct and Large-Eddy Simulation

Abstract

This chapter is devoted to the description of a number of popular models for the turbulent stress-tensor, including eddy-viscosity, (generalized) similarity and regularization models. Moreover, we sketch the dynamic procedure for optimization of base models as well as its combination with inverse filtering. Subsequently, the largeeddy treatment of near-wall turbulence is presented, describing approaches based on effective boundary conditions as well as zonal descriptions combining conventional large-eddy simulation with statistical models. We also discuss the extension of subgrid parameterization to compressible flow problems and provide explicit models for the energy equation. Finally, we discuss options for commutator-error models based on the similarity approach as well as arising from regularization principles.

Abstract

This chapter is devoted to the description of a number of popular models for the turbulent stress-tensor, including eddy-viscosity, (generalized) similarity and regularization models. Moreover, we sketch the dynamic procedure for optimization of base models as well as its combination with inverse filtering. Subsequently, the largeeddy treatment of near-wall turbulence is presented, describing approaches based on effective boundary conditions as well as zonal descriptions combining conventional large-eddy simulation with statistical models. We also discuss the extension of subgrid parameterization to compressible flow problems and provide explicit models for the energy equation. Finally, we discuss options for commutator-error models based on the similarity approach as well as arising from regularization principles.

Kapitel in diesem Buch

  1. Frontmatter I
  2. Preface VII
  3. Contents IX
  4. Part I: Phenomenology of turbulent flow
  5. 1 Direct and large-eddy simulation: context and introduction 1
  6. 2 Computational dynamical systems for turbulence 38
  7. Part II: Numerical aspects of DNS and LES
  8. 3 Features of a basic numerical approach 65
  9. 4 Time-integration 87
  10. 5 Spatial discretization 110
  11. Part III: Subgrid modeling
  12. 6 Filtering and rigorous subgrid modeling 165
  13. 7 Subgrid models 200
  14. Part IV: Validation and error-assessment
  15. 8 Validation of large-eddy simulation 235
  16. 9 Interacting error dynamics 258
  17. 10 Epilogue 289
  18. Bibliography 295
  19. Index 305
https://doi.org/10.1515/9783110532364-007

Kapitel in diesem Buch

  1. Frontmatter I
  2. Preface VII
  3. Contents IX
  4. Part I: Phenomenology of turbulent flow
  5. 1 Direct and large-eddy simulation: context and introduction 1
  6. 2 Computational dynamical systems for turbulence 38
  7. Part II: Numerical aspects of DNS and LES
  8. 3 Features of a basic numerical approach 65
  9. 4 Time-integration 87
  10. 5 Spatial discretization 110
  11. Part III: Subgrid modeling
  12. 6 Filtering and rigorous subgrid modeling 165
  13. 7 Subgrid models 200
  14. Part IV: Validation and error-assessment
  15. 8 Validation of large-eddy simulation 235
  16. 9 Interacting error dynamics 258
  17. 10 Epilogue 289
  18. Bibliography 295
  19. Index 305
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Heruntergeladen am 10.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/9783110532364-007/html
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