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We present two main results. The first is a plausible validation argument forthe principle of a maximal rate of entropy production for Euler equationturbulence. This principle can be seen as an extension of the second law ofthermodynamics. In our second main result, we examine competing models forlarge eddy simulations of Euler equation (fully developed) turbulence. Wecompare schemes with no subgrid modeling, implicit large eddy simulation (ILES)with limited subgrid modeling and those using dynamic subgrid scale models. Ouranalysis is based upon three fundamental physical principles: conservation ofenergy, the maximum entropy production rate and the principle of universalityfor multifractal clustering of intermittency. We draw the conclusion that theabsence of subgrid modeling, or its partial inclusion in ILES solution violatesthe maximum entropy dissipation rate admissibility criteria. We identifycircumstances in which the resulting errors have a minor effect on specificobservable quantities and situations where the effect is major.  Application to numerical modeling of the deflagration to detonationtransition in type Ia supernova is discussed.

On the physical inadmissibility of ILES for simulations of Euler equation turbulence