With the recent rapid developments in computational capabilities, the computational approach is becoming a more powerful tool in the study of turbulence. Even with the largest supercomputers of the foreseeable future, however, development of adequate modeling techniques for at least some scales of motion will be necessary for practical computations of such vital concerns as weather forecasting and the prediction and control of global pollution. Understanding the nature of unresolved scales is crucial for modeling. For readers who are inclined toward the physical sciences, this book provides a general view of modeling based on statistical theories. Readers who are more oriented toward application will also be rewarded in finding a collection and appraisal of computational methods and models that are useful in both global-scale geophysical flows and complex engineering flows.

Part I: Application of the Statistical Theory to Stratified and Rotating Turbulence: Computational Challenges for Global Dynamics of Fully Developed Turbulence in the Context of Geophysical Flows; Structural and Statistical Aspects of Stably Stratified Turbulence; Dynamics of Rotating Stably-Stratified Flows; An Introduction to Mixing in a Stably Stratified Fluid; Linear Processes in Stratified Turbulence with Rotation or Mean Shear; Part II: Wall Bounded Flows: Very Large Anisotropic Scales in Turbulent Wall-Bounded Flows; Turbulent Plume Diffusion in a Pipe Flow by the PDF Method; A Hybrid RANS/LES Calculation of Turbulent Channel Flow; Anisotropy versus Universality in Shear Flow Turbulence; LES Study on the Very Large Scale Structures of Wall-Bounded Turbulence and an Effect of Thermal Stratification; Part III: Statistical Theory of Turbulence and LES Modeling; High Resolution DNS of Incompressible Homogeneous Forced Turbulence - Time Dependence of the Statistics; Subgrid Models for Two-Dimensional Turbulence based on Lagrangian Spectral Theory; LES Modelings based on the Lagrangian Renormalized Approximation; LES of Stably Stratified Turbulence; The Eulerian Time Correlation Function in Homogeneous Isotropic Turbulence; Predictability of 3D Isotopic Turbulence - Effect of Data Assimilation; Orthonormal Divergence-Free Wavelet Analysis of Spatial Correlation between Kinetic Energy and Nonlinear Transfer in Turbulence; Statistics of the Energy Dissipation Rate in Turbulence; Lyapunov Exponent of the System Described by Kuramoto-Sivashinsky Equation; Part IV: Geophysical Turbulence: Toward a Statistical Ocean Dynamics; Internal-Wave-Packet Propagation and Breaking; Pattern Formation in Two-Dimensional Turbulence on a Rotating Sphere; Quasi-Geostrophic Turbulence in a One-Layer Ocean affected by Horizontal Divergence; Self-Similarity of Decaying Two-Dimensional Turbulence governed by the Charney-Hasegawa-Mima Equation; A Fast Method for the Calculation of the Fluid Flow on a Sphere using a Combined Compact Difference Scheme; Part V: Panel Sessions: Panel Session l: Advanced Computational Approaches in Turbulence Research; Panel Session 2: Turbulence Research for Geophysical Applications.