论文标题
德国方程残差的日耳曼身份的替代推导
An alternative derivation of the Germano identity as the residual of the LES equation
论文作者
论文摘要
该注释提出了对日耳曼的身份及其误差的替代推导和解释，这表明德国人的身份误差直接估计了LES方程的残差，即在评估精确解决方案的不精确方程时的错误拟合，因此代表LES中的错误源。这有许多应用程序，包括用于LES中基于最佳输出的网格/滤网适应和不确定性定量。
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. This has many applications, including for optimal output-based grid/filter-adaptation and uncertainty quantification in LES.
