Stochastic Estimation of Sub-Grid Scale Motions

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Abstract
The problem of relating the resolved scale motions in a large eddy simulation to the non-resolved sub-grid scale motions is considered from the view point of stochastic estimation. Algorithms governing the large scale field are derived by requiring minimum mean square prediction error at each time step. Possible forms for quasi-homogeneous regions such as Smagorinski’s model are analyzed.

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