This volume contains the papers presented at the workshop on Statistical The ories and Computational Approaches to Turbulence: Modern Perspectives and Applications to Global-Scale Flows, held October 10-13, 2001, at Nagoya Uni versity, Nagoya, Japan. Because of recent developments in computational capabilities, the compu tational approach is showing the potential to resolve a much wider range of length and time scales in turbulent physical systems. Nevertheless, even with the largest supercomputers of the foreseeable future, development of adequate modeling techniques for at least some scales…mehr
This volume contains the papers presented at the workshop on Statistical The ories and Computational Approaches to Turbulence: Modern Perspectives and Applications to Global-Scale Flows, held October 10-13, 2001, at Nagoya Uni versity, Nagoya, Japan. Because of recent developments in computational capabilities, the compu tational approach is showing the potential to resolve a much wider range of length and time scales in turbulent physical systems. Nevertheless, even with the largest supercomputers of the foreseeable future, development of adequate modeling techniques for at least some scales of motion will be necessary for practical computations of important problems such as weather forecasting and the prediction and control of global pollution. The more powerful the available machines become, the more demand there will be for precise prediction of the systems. This means that more precise and reliable knowledge of the underlying dynamics will become important, and that more efficient and precise numerical methods best adapted to the new generation of computers will be necessary. The understanding of the nature of unresolved scales then will playa key role in the modeling of turbulent motion. The challenge to turbulence theory here is to elucidate the physics or dynamics of those scales, in particular their sta tistical aspects, and thereby develop models on sound bases to reduce modeling ambiguity. The challenge to the computational method is to develop efficient algorithms suitable for the problems, the machines, and the developed models.
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.- 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.- 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 Isotropic 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.- 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-GeostrophicTurbulence 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.- V Panel Sessions.- Panel Session 1: Advanced Computational Approaches in Turbulence Research.- Panel Session 2: Turbulence Research for Geophysical Applications.
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.- 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.- 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 Isotropic 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.- 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-GeostrophicTurbulence 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.- V Panel Sessions.- Panel Session 1: Advanced Computational Approaches in Turbulence Research.- Panel Session 2: Turbulence Research for Geophysical Applications.
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