A general algebraic formulation for multi-parameter dynamic subgrid-scale modeling

This paper proposes a general algebraic formulation able to unify all the p revious developments in the Frame of subgrid-scale modeling using dynamic m ixed models. This formulation can serve as a guide for the design of new mu lti-parameter SCS models. All usual cases of coupling between momentum and energy (or transport) equation are treated formally, and properties of the associated linear or non-linear system are discussed. It is shown that ail the existing models found in the literature can be grouped into a seven-par ameter dynamic model, referred to as the Maximal Complexity Dynamic Model ( MCDM). A priori tests on this MCDM are carried out for the subsonic plane c hannel flow problem, which aim at selecting the most important contribution s in multi-parameter dynamic models.