Startseite Mathematik 2 Computational dynamical systems for turbulence
Kapitel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

2 Computational dynamical systems for turbulence

  • Bernard J. Geurts
Veröffentlichen auch Sie bei De Gruyter Brill
Erkunden Sie dieses Fachgebiet So veröffentlichen Sie bei uns
Direct and Large-Eddy Simulation
Ein Kapitel aus dem Buch Direct and Large-Eddy Simulation

Abstract

The intricate structure of turbulent flow is presented from the physical as well as from the spectral space point of view and illustrated with a number of examples. Computational representations of turbulence involve numerical and physical modeling. The computational dynamical systems that result from the large-eddy modeling are interpreted using concepts from nonlinear systems theory. Finally, three geometrically simple, ‘canonical’ flows are introduced; homogeneous turbulence, turbulent mixing and wall-bounded flow. These will provide recurring illustrations of various aspects of direct and large-eddy simulation throughout this book.

Abstract

The intricate structure of turbulent flow is presented from the physical as well as from the spectral space point of view and illustrated with a number of examples. Computational representations of turbulence involve numerical and physical modeling. The computational dynamical systems that result from the large-eddy modeling are interpreted using concepts from nonlinear systems theory. Finally, three geometrically simple, ‘canonical’ flows are introduced; homogeneous turbulence, turbulent mixing and wall-bounded flow. These will provide recurring illustrations of various aspects of direct and large-eddy simulation throughout this book.

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/10.1515/9783110532364-002

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
Jetzt anmelden und 20% sparen
Institutioneller Zugang
Wie funktioniert Authentifizierung?
Haben Sie eine Idee, wie wir unsere Website verbessern können?
Bitte schreiben Sie uns.
© 2025 De Gruyter Brill
Heruntergeladen am 30.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/9783110532364-002/html
Button zum nach oben scrollen