High Accuracy Computing Methods
eBook - PDF

High Accuracy Computing Methods

Fluid Flows and Wave Phenomena

  1. 592 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

High Accuracy Computing Methods

Fluid Flows and Wave Phenomena

About this book

This book presents topics in a single source format using unified spectral theory of computing. With developments of DNS and LES, practitioners are rediscovering waves as important in fluid flows, and capturing these numerically is central to high accuracy computing. Analysis of waves and its use in numerical methods in propagating energy at the right velocity (dispersion effects) and with right amplitude (dissipation) are essential. Most industrial codes using Reynolds-averaged Navier–Stokes equations with turbulence models cannot conceive of capturing waves. The new themes covered in this book are: • Correct error propagation analysis • Practical compact schemes and global analysis tool • Aliasing error and its alleviation • Spurious upstream propagating q-waves • Explanation of the Gibbs phenomenon • New 1D and 2D filters for LES/DNS without SGS modelling • Anisotropic skewed wave propagation • Development and analysis of dispersion relation preservation (DRP) schemes • Flow instabilities and wave propagation phenomena

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Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Dedication
  5. Contents
  6. Foreword
  7. Preface
  8. CHAPTER 1 Basic Ideas of Scientific Computing
  9. CHAPTER 2 Governing Equations in Fluid Mechanics
  10. CHAPTER 3 Classification of Quasi-Linear Partial Differential Equations
  11. CHAPTER 4 Waves and Space-Time Dependence in Computing
  12. CHAPTER 5 Spatial and Temporal Discretizations of Partial Differential Equations
  13. CHAPTER 6 Solution Methods for Parabolic Partial Differential Equations
  14. CHAPTER 7 Solution Methods for Elliptic Partial Differential Equations
  15. CHAPTER 8 Solution of Hyperbolic PDEs: Signal and Error Propagation
  16. CHAPTER 9 Curvilinear Coordinate and Grid Generation
  17. CHAPTER 10 Spectral Analysis of Numerical Schemes and Aliasing Error
  18. CHAPTER 11 Higher Accuracy Methods
  19. CHAPTER 12 Introduction to Finite Volume and Finite Element Methods
  20. CHAPTER 13 Solution of Navier–Stokes Equation
  21. CHAPTER 14 Recent Developments in Discrete Finite Difference Computing
  22. Exercises
  23. References
  24. Index

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Yes, you can access High Accuracy Computing Methods by Tapan Sengupta in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Science General. We have over one million books available in our catalogue for you to explore.