Contents: I 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'Alemberts's Mystery -- New Resolution of d'Almenbert's Mystery -- II Mathematics of Turbulence: Turbulence and Chaos -- A $1 Million Prize Problem -- Work Uniqueness by Computation -- Existence of e-Weak Solutions by G2 -- Stability Aspects of Turbulence in Model Problems -- A Convection-Diffusion Model Problem -- G2 for Euler -- Summary of Mathematical Aspects -- III Secrets: Secrets of Ball Sports -- Secrets of Flight -- Secrets of Sailing -- Secrets of Racing -- IV 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 -- V Flow Fundamentals: Bluff Body Flow -- Boundary Layers -- Separation -- Transition to Turbulence -- VI 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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Context of Applied mathematics, body and soul, 4, Computational turbulent incompressible flow, Johan Hoffman, Claes Johnson