Germano identity-based subgrid-scale modeling: A brief survey of variations on a fertile theme

Abstract

It has now been over 20 years since the introduction of the Germano identity. Mostly, the identity has been applied to closures for the subgrid-scale fluxes required in large eddy simulations in the bulk of turbulent flows. However, the basic ideas underlying the Germano identity can be applied in various other contexts. In recent years a number of such generalizations have been developed, and several of these are surveyed in this paper. The survey is based on an interpretation of the Germano identity stating that the sum of resolved and modeled contributions to basic quantities of intrinsic physical interest must be independent of filter scale. The focus of this survey is on the conceptual bases of the various generalizations and their common features, as a way of pointing to possible further extensions.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 01, 2012
Source ID
10.1063/1.4772062

Entities

People

  • Charles Meneveau

Organizations

  • Johns Hopkins University
  • National Science Foundation
  • Office of Naval Research

Tags

Readers

  • Computational Fluid Dynamics (CFD)
  • Cybersecurity.
  • Systems Analysis and Design