Large Eddy Simulation Using a Transport Equation for the Subgrid-Scale Stress Tensor

Abstract

The objective of this research was to demonstrate that classical transport equation (RANS) models can be applied at any mesh resolution. In particular, we show that transport equation models like the classical kappa/epsilon model also make excellent subgrid scale models for Large Eddy Simulation (LES). However, this research is not concerned with the development of a particular RANS/LES model but a general approach to turbulence modeling for any mesh resolution. To confirm the generality of the approach, a Reynolds stress transport (RST) equation model is also shown to work well as an automatically adaptive LES subgrid scale model. Unlike other hybrid modeling approaches that can address a range of mesh scales, the demonstrated approach is self-adaptive. It will always calculate using first principals as much of the turbulence as the mesh allows, and will model the rest. The character of the model is self-adjusting and is not a function of some external input such as the geometry. The approach is easy to implement using existing CFD codes.

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Document Details

Document Type
Technical Report
Publication Date
Mar 22, 2007
Accession Number
ADA469740

Entities

People

  • Blair Perot

Organizations

  • University of Massachusetts Amherst

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Department Of Defense
  • Energy Transfer
  • Equations
  • Kinetic Energy
  • Large Eddy Simulation
  • Mathematical Analysis
  • Mechanical Properties
  • Scale Models
  • Simulations
  • Stratified Fluids
  • Three Dimensional
  • Turbulence

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)