Buch, Englisch, 401 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 793 g
Applied Mathematics: Body and Soul 4
Buch, Englisch, 401 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 793 g
ISBN: 978-3-540-46531-7
Verlag: Springer Berlin Heidelberg
This book, Volume 4 of the book series of the Body and Soul mathematics education reform program, presents a unified new approach to computational simulation of turbulent flow starting from the general basis of calculus and linear algebra covered in Volumes 1 through 3. The book puts the Body and 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. It 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 text presents new aspects of both mathematics and computation of turbulent flow, and challenges established approaches.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
Weitere Infos & Material
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?.
