Isotropic LANS-α Equations for Anisotropic Turbulent Flow Simulations
نویسنده
چکیده
many people since then, including Chetayev and Merkin, although the name was coined only recently (see [1]). However, the extension to the infinite dimensional case is much more subtle and this is the main point of the poster. Besides detailed analytical estimates for the PDE’s involved, the tools that were useful in carrying this out for the baroclinic instability include Arnold’s nonlinear stability method as well as the work of Yudovich on the linearized stability instability problem (see also the extended abstract of Friedlander and Shvydkoy).
منابع مشابه
Dynamic Modeling of Α in the Isotropic Lagrangian Averaged Navier-stokes-α Equations
A dynamic procedure for the Lagrangian Averaged NavierStokes-α (LANS-α) equations is developed where the variation in the parameter α in the direction of anisotropy is determined in a self-consistent way from data contained in the simulation itself. In order to derive this model, the incompressible NavierStokes equations are Helmholtz-filtered at the grid and a test filter levels. A Germano typ...
متن کاملA Dynamic Procedure for the Lagrangian Averaged Navier-Stokes-α Model of Turbulent Flows
A dynamic procedure for the Lagrangian Averaged Navier-Stokes-α (LANS-α) equations is developed where the variation in the parameter α in the direction of anisotropy is determined in a self-consistent way from data contained in the simulation itself. In order to derive this model, the incompressible Navier-Stokes equations are Helmholtz-filtered at the grid and a test filter levels. A Germano t...
متن کاملTurbulent Channel Flow in Weighted Sobolev Spaces Using the Anisotropic Lagrangian Averaged Navier-stokes (lans-α) Equations
Modeling the mean characteristics of turbulent channel flow has been one of the longstanding problems in fluid dynamics. While a great number of mathematical models have been proposed for isotropic turbulence, there are relatively few, if any, turbulence models in the anisotropic wall-bounded regime which hold throughout the entire channel. Recently, the anisotropic Lagrangian averaged Navier-S...
متن کاملA Dynamic α Model for the Lagrangian Averaged Navier-Stokes-α Equations
A dynamic α model for the isotropic incompressible LANS-α equations is proposed in this investigation. To derive this model, the incompressible Navier-Stokes equations are Helmholtz-filtered at the grid and test filter levels. A Germano type identity is derived by comparing the filtered subgrid scale stress terms with those given in LANS-α equations. Considering a constant value of α and averag...
متن کاملAiaa 2001-2645 Numerical Simulations of the Lagrangian Averaged Navier-stokes (lans-α) Equations for Forced Homogeneous Isotropic Turbulence
The modeling capabilities of the Lagrangian Averaged Navier-Stokes-α equations (LANS-α) is investigated in statistically stationary three-dimensional homogeneous and isotropic turbulence. The predictive abilities of the LANS-α equations are analyzed by comparison with DNS data. Two different forcing techniques were implemented to model the energetics of the energy containing scales. The resolve...
متن کامل