[PDF] Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 By Johan Hoffman, Claes Johnson Book Free Download


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Download Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 By Johan Hoffman, Claes Johnson – This is Volume 4 of the book series of the Body and Soul mathematics education reform program. It presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra of Vol 1-3. The book puts the Body and Soul computational finite element methodology in the form of General Galerkin (G2) up against the challenge of computing turbulent solutions of the inviscid Euler equations and the Navier-Stokes equations with small viscosity. This is an outstanding textbook presenting plenty of new material with an excellent pedagogical approach.

The book shows that direct application of G2 without any turbulence or wall modeling, allows reliable computation on a PC of mean value quantities of turbulent flow such as drag and lift.

The power of G2 is demonstrated by resolving several classical scientific paradoxes of fluid flow and by uncovering secrets of flying, sailing, racing and ball sports. The book presents new aspects on both mathematics and computation of turbulent flow, and challenges established approaches. The book is directed to a wide audience of computational mathematicians fluid dynamicists and scientists.

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Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 By Johan Hoffman, Claes Johnson – PDF Free Download

[PDF] Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 By Johan Hoffman, Claes Johnson Book Free Download
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Book Contents

  1. Main Objective
  2. Mysteries and Secrets
  3. Turbulent Flow and History of Aviation
  4. The Euler Equations
  5. The Incompressible Euler and Navier–Stokes Equations
  6. Triumph and Failure of Mathematics
  7. Laminar and Turbulent Flow
  8. Computational Turbulence
  9. A First Study of Stability
  10. d’Alembert’s Mystery and Bernoulli’s Law
  11. Prandtl’s Resolution of d’Alembert’s Mystery
  12. New Resolution of d’Alembert’s Mystery
  13. Turbulence and Chaos
  14. A $1 Million Prize Problem
  15. Weak Uniqueness by Computation
  16. Existence of ε-Weak Solutions by G2
  17. Stability Aspects of Turbulence in Model Problems
  18. A Convection-Diffusion Model Problem
  19. G2 for Euler
  20. Summary of Mathematical Aspects
  21. Secrets of Ball Sports
  22. Secrets of Flight
  23. Secrets of Sailing
  24. Secrets of Racing
  25. Reynolds Stresses In and Out
  26. Smagorinsky Viscosity In and Out
  27. Friction Boundary Condition as Wall Model
  28. G2 for Navier-Stokes Equations
  29. A Discrete Solver
  30. G2 as Adaptive DNS/LES
  31. Implementation of G2 with FEniCS
  32. Moving Meshes and ALE Methods
  33. Bluff Body Flow
  34. Boundary Layers
  35. Separation
  36. Transition to Turbulence
  37. Thermodynamics
  38. Joule’s 1845 Experiment
  39. Compressible Euler in 1d
  40. Burgers’ Equation
  41. Compressible Euler in 3d
  42. EG2 for Compressible Flow
  43. Philosophy of EG2
  44. Does God Really Play Dice?

About Author

  • Johan Hoffman
  • Claes Johnson

Book Details

Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4 By Johan Hoffman, Claes Johnson – Details

Book Name Computational Turbulent Incompressible Flow: Applied Mathematics: Body and Soul 4
Author Name Johan Hoffman, Claes Johnson
Language English
ISBN-10 3540465316
ISBN-13 978-3540465317

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