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Computational Incompressible Flow by Johan Hoffman, Claes Johnson




Computational Incompressible Flow - Table of Contents

  • PART I – OVERVIEW
  • 1. Overview
  • 2. Mysteries and Secrets
  • 3. Turbulent Flow and History of Aviation
  • 4. The Navier–Stokes and Euler Equations and navier stokes euler equations fluid mechanics
  • 5. Triumph and Failure of Mathematics
  • 6. Laminar and Turbulent Flow
  • 7. Computational Turbulence
  • 8. A First Study of Stability
  • 9. d’Alembert’s Paradox and Bernoulli’s Law and dalembert paradox bernoulli law hydrodynamics
  • 10. Prandtl’s Resolution of d’Alembert’s Paradox
  • 11. New Resolution of d’Alembert’s Paradox
  • 12. Turbulence and Chaos
  • 13. A $1 Million Prize Problem
  • 14. Weak Uniqueness by Computation
  • 15. Existence of e-Weak Solutions by G2
  • 16. Stability Aspects of Turbulence in Model Problems
  • 17. A Convection-Diffusion Model Problem
  • 18. Reynolds Stresses In and Out
  • 19. Smagorinsky Viscosity In and Out and smagorinsky viscosity les turbulence modeling
  • 20. G2 for Euler
  • 21. Resolution of Loschmidt’s Mystery
  • 22. Secrets of Ball Sports
  • 23. Secrets of Flight
  • 24. Summary so far
  • PART II – COMPUTATIONAL METHOD: G2
  • 25. G2 for Navier–Stokes Equations and g2 adaptive finite element navier stokes
  • 26. Discrete Solvers
  • 27. G2 as Adaptive DNS/LES and adaptive dns les turbulence solver
  • 28. Implementation of G2 with FEniCS and fenics implementation adaptive finite elements
  • 29. Moving Meshes and ALE Methods and ale moving meshes fluid structure interaction
  • PART III – FLOW FUNDAMENTALS
  • 30. Bluff Body Flow
  • 31. Boundary Layers and boundary layer transition aerodynamics
  • 32. Separation
  • 33. EG2 and Turbulent Euler Solutions
  • 34. Transition to Turbulence

What You Will Learn in Computational Incompressible Flow


Providing a revolutionary perspective on fluid mechanics, Computational Incompressible Flow by Johan Hoffman and Claes Johnson offers a modern computational resolution to long-standing classical problems in hydrodynamics. Across 35 systematically organized chapters divided into three comprehensive parts, the text examines the Navier-Stokes and Euler equations, d'Alembert's paradox, G2 adaptive DNS/LES formulations, Smagorinsky viscosity, FEniCS implementation, arbitrary Lagrangian-Eulerian moving meshes, and boundary layer separation dynamics.

Targeted at graduate students, theoretical physicists, and computational fluid dynamics (CFD) engineers, Profs. Hoffman and Johnson connect mathematical analysis with high-performance computing solvers. Readers are guided step-by-step from foundational stability analyses and weak solution proofs to practical adaptive finite element algorithms, turbulence transition mechanisms, and aerodynamic drag computations.

Distinguished by its bold mathematical insights, modern computational methodology, and resolution of historic fluid dynamics paradoxes, this monograph serves as one of the best computational incompressible flow textbooks pdf available for academic study. It equips researchers with advanced numerical tools for mastering computational turbulence and incompressible flow with confidence.

Book Details & Specifications

Title: Computational Incompressible Flow by Johan Hoffman, Claes Johnson
Publisher: Springer-Verlag
Year: 2007
Pages: 420
Type: PDF
Language: English
ISBN-10 #: 3540465316
ISBN-13 #: 978-3540465317
License: University Educational Resource (no license claimed)
Amazon: Amazon

About the Author: Johan Hoffman and Claes Johnson

The author Johan Hoffman and Claes Johnson are internationally recognized computational mathematicians and professors at the KTH Royal Institute of Technology in Stockholm, Sweden.

Dr. Hoffman and Dr. Johnson are pioneers in adaptive finite element methods, computational turbulence, and open-source scientific computing software, having published extensively on mathematical foundations of computational mechanics and dual-weighted residual error estimation.


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