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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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Main Authors: Hoffman, Johan. (Author, http://id.loc.gov/vocabulary/relators/aut), Johnson, Claes. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Subjects:
Computer mathematics.
Fluid mechanics.
Continuum physics.
Physics.
Applied mathematics.
Engineering mathematics.
Computational Mathematics and Numerical Analysis.
Engineering Fluid Dynamics.
Classical and Continuum Physics.
Computational Science and Engineering.
Mathematical Methods in Physics.
Mathematical and Computational Engineering.
Online Access:https://doi.org/10.1007/978-3-540-46533-1
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?.

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