The Germano identity error and the residual of the LES governing equation

[摘要] The Note presents an alternative derivation and interpretation of the Germano identity and its error, showing that the Germano identity error directly estimates the residual of the LES equation (i.e., the misfit when evaluating the inexact equation for the exact solution) and therefore represents the source of errors in LES. The most prominent applications include a robust and easy to compute definition of the source of errors that can be used for grid/filter adaptation in LES or for estimating the coarse-graining related uncertainties, as well as offering a more robust explanation for the success of the dynamic procedure and the favorable characteristics that the dynamic models inherit. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-15

[关键词] Large eddy simulation;Modeling errors;Germano identity error;Dynamic procedure;Equation residual;Error estimation