Computational Turbulent Incompressible Flow Applied Mathematics: Body and Soul 4 /

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 computationa...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hoffman, Johan (Autor), Johnson, Claes (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Temas:
Mathematics-Data processing.
Fluid mechanics.
Physics.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Computational Mathematics and Numerical Analysis.
Engineering Fluid Dynamics.
Classical and Continuum Physics.
Computational Science and Engineering.
Mathematical Methods in Physics.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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?.

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