rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Computational Turbulent Incompressible Flow
    sub title: Applied Mathematics: Body and Soul 4
  name:
    name part: Hoffman, Johan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Johnson, Claes.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIX, 401 p. online resource.
  abstract: This is Volume 4 of the book series of the Body & Soul mathematics education reform program, and 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 & 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. 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. The G2 solver is available as part the free software project FEniCS at www.fenics.org. The book has a dedicated dynamic web page, including movies from a wide variety of simulations, at www.bodysoulmath.org. The book is focussed on incompressible flow, but opens to compressible flow continued in Vol 5 on thermodynamics. The authors are experts on computational mathematics and technology.
  table of contents: Overview -- Main Objective -- Mysteries and Secrets -- Turbulent Flow and History of Aviation -- The Euler Equations -- The Incompressible Euler and Navier–Stokes Equations -- Triumph and Failure of Mathematics -- Laminar and Turbulent Flow -- Computational Turbulence -- A First Study of Stability -- d'Alembert's Mystery and Bernoulli's Law -- Prandtl's Resolution of d'Alembert's Mystery -- New Resolution of d'Alembert's Mystery -- Mathematics of Turbulence -- Turbulence and Chaos -- A $1 Million Prize Problem -- Weak Uniqueness by Computation -- Existence of ?-Weak Solutions by G2 -- Stability Aspects of Turbulence in Model Problems -- A Convection-Diffusion Model Problem -- G2 for Euler -- Summary of Mathematical Aspects -- Secrets -- Secrets of Ball Sports -- Secrets of Flight -- Secrets of Sailing -- Secrets of Racing -- Computational Method -- Reynolds Stresses In and Out -- Smagorinsky Viscosity In and Out -- Friction Boundary Condition as Wall Model -- G2 for Navier-Stokes Equations -- A Discrete Solver -- G2 as Adaptive DNS/LES -- Implementation of G2 with FEniCS -- Moving Meshes and ALE Methods -- Flow Fundamentals -- Bluff Body Flow -- Boundary Layers -- Separation -- Transition to Turbulence -- Loschmidt's Mystery -- Thermodynamics -- Joule's 1845 Experiment -- Compressible Euler in 1d -- Burgers' Equation -- Compressible Euler in 3d -- EG2 for Compressible Flow -- Philosophy of EG2 -- Does God Really Play Dice?.
  note: by Johan Hoffman, Claes Johnson.
  subject:
    topic: Mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Physics
  subject:
    topic: Continuum physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Fluid mechanics
  subject:
    topic: Mathematics
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Engineering Fluid Dynamics
  subject:
    topic: Classical Continuum Physics
  subject:
    topic: Computational Science and Engineering
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA71-90
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540465331
  identifier: http://dx.doi.org/10.1007/978-3-540-46533-1
  record info:
    record creation date: 100301
    record change date: 20151204182511.0
    record identifier: 978-3-540-46533-1