By Constant von Wurzbach-Tannenberg
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Application of this filter yields: This shows that the leading order term of scales with denotes the derivative of and we introduced Here 22 BERNARD J. GEURTS If we turn to the decomposition of a typical term one finds for the commutator in which the dots denote higher order terms in This commutator is written in the usual way in terms of higher order derivatives of where now a factor appears. The traditional commutator can likewise be expressed as: The scaling with is readily verified for N > 1.
E. applying the definition of the turbulent stress tensor directly to the available filtered field. A direct generalization of this arises from using the approximate inversion. Recently the approximate inversion was combined with dynamic modeling . This was based on the choice and for which Germano’s identity can be specified to Compared to the traditional formulation eq. g. involving properties of an inertial range. Dynamic inverse models have been applied successfully in mixing layers .
It is not possible to remove the commutation error by a special filter, since such filters also reduce the turbulent stress tensor. If the dynamics of a structure with wave number are not significantly altered due to filter-width irregularities. Finally, we addressed the effects of numerical method in LES of a Smagorinsky fluid. We considered two different strategies. The first one is commonly used in literature and implies that is fixed. In the second one attempts to obtain the solution to the modeled LES equations and allows to increase.
Biographisches Lexikon des Kaiserthums by Constant von Wurzbach-Tannenberg