COMPUTATIONAL TURBULENT INCOMPRESSIBLE FLOW IBD

Sinopse

I Overview.- 1 Main Objective.- 2 Mysteries and Secrets.- 3 Turbulent Flow and History of Aviation.- 4 The Euler Equations.- 5 The Incompressible Euler and Navier-Stokes Equations.- 6 Triumph and Failure of Mathematics.- 7 Laminar and Turbulent Flow.- 8 Computational Turbulence.- 9 A First Study of Stability.- 10 d?Alembert?s Mystery and Bernoulli?s Law.- 11 Prandtl?s Resolution of d?Alemberts?s Mystery.- 12 New Resolution of d?Almenbert?s Mystery.- II Mathematics of Turbulence.- 13 Turbulence and Chaos.- 14 A $1 Million Prize Problem.- 15 Work Uniqueness by Computation.- 16 Existence of e-Weak Solutions by G2.- 17 Stability Aspects of Turbulence in Model Problems.- 18 A Convection-Diffusion Model Problem.- 19 G2 for Euler.- 20 Summary of Mathematical Aspects.- III Secrets.- 21 Secrets of Ball Sports.- 22 Secrets of Flight.- 23 Secrets of Sailing.- 35 Secrets of Racing.- IV Computational Method.- 25 Reynolds Stresses In and Out.- 26 Smagorinsky Viscosity In and Out.- 27 Friction Boundary Condition as Wall Model.- 28 G2 for Navier-Stokes Equations.- 29 A Discrete Solver.- 30 G2 as Adaptive DNS/LES.- 31 Implementation of G2 with FEniCS.- 32 Moving Meshes adn ALE Methods.- V Flow Fundamentals.- 33 Bluff Body Flow.- 34 Boundary Layers.- 35 Separation.- 36 Transition to Turbulence.- VI Loschmidt?s Mystery.- 37 Thermodynamics.- 38 Joule?s 1845 Experiment.- 39 Compressible Euler in 1d.- 40 Burgers? Equation.- 41 Compressible Euler in 3d.- 42 EG2 for Compressible Flow.- 43 Philosophy of EG2.- 44 Does God Really Play Dice?- References.- Index