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

• Κύριοι συγγραφείς: Hoffman, Johan (Συγγραφέας), Johnson, Claes (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Θέματα: Mathematics.; Computer mathematics.; Physics.; Continuum physics.; Applied mathematics.; Engineering mathematics.; Fluid mechanics.; Computational Mathematics and Numerical Analysis.; Engineering Fluid Dynamics.; Classical Continuum Physics.; Computational Science and Engineering.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.

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...

Πίνακας περιεχομένων:

• 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?.