Studies in Turbulence

1. Turbulence Modeling and Simulations.- Parameterizing Turbulent Diffusion in the Atmospheric Boundary Layer.- Modeling the Dissipation-Rate Equation with the Aid of Direct Simulation Data.- Second-Order Modeling of Turbulent Diffusion in an Atmospheric Surface Layer.- Theoretical and Computational Study of Rotating Isotropi Turbulence.- Towards a Structure-Based Turbulence Model.- Effect of Mean Velocity Shear on the Dissipation Rate of Turbulent Kinetic Energy.- Advances in Modeling the Pressure Correlation Terms in the Second Moment Equations.- Modeling the Dissipation Rate in Rotating Turbulent Flows.- Mapping Closures for Turbulent Mixing and Reaction.- Subgrid Length-Scales for Large-Eddy Simulation of Stratified Turbulence.- 2. Coherent Structures and The Proper Orthogonal Decomposition.- Understanding Turbulence via Vortex Dynamics.- Heteroclinic Cycles, Exponential Tails, and Intermittency in Turbulence Production.- Models for the Structure and Dynamics of Near Wall Turbulence.- The Streamwise Evolution of Coherent Structures in the Axisymmetric Jet Mixing Layer.- On the Complexity of Turbulence Near a Wall.- Observations on the Proper Orthogonal Decomposition.- Lumley's PODT Definition of Large Eddies and a Trio of Numerical Procedures.- Propagating Structures in Wall-Bounded Turbulent Flows.- On the Hidden Beauty of the Proper Orthogonal Decomposition.- 3. Compressible Turbulence.- Mach Number Effects on Free and Wall Turbulent Structures in Light of Instability Flow Interactions.- Toward a Constitutive Relation in Compressible Turbulence.- Fluid Dynamics and Noise Emission Associated with Supersonic Jets.- Formulation of the Statistical Equations of Turbulent Flows with Variable Density.- A Density-Weighted Conditional Closure Model for Diffusion Flames.-Interaction Between Chemical Reaction and Turbulence in Supersonic Nonpremixed H2-Air Combustion.- Compressible Turbulence and Shock Waves.- Occurrence of Caustics for High Frequency Acoustic Waves