Commutation error in LES with time-dependent filter width
Commutation error in LES with time-dependent filter width
复制标题
具有随时间变化的滤波器宽度的 LES 中的换向误差
DOI：
10.1016/j.compfluid.2005.06.010
复制
发表时间：
2007
影响因子：
2.8
通讯作者：
P. Sagaut
中科院分区：
文献类型：
--
作者：
S. Léonard;M. Terracol;P. Sagaut
This paper presents an investigation of the possible commutation errors arising in Large Eddy Simulations performed with a filter width which varies in time, e.g. when the grid/spectral resolution is modified dynamically during the computations. Some theoretical developments provide an explicit expression for this error, which is shown to depend explicitly on the filter kernel properties, and on the time derivative of the cut-off length. From this analysis, some constraints on the filter kernel are derived in order to minimize the error. The particular case of a Gaussian filter is considered, which yields to a first error term. Finally, the dependency of the temporal commutation error to the variations of the filter width is investigated by performing a priori tests in the case of isotropic homogeneous turbulence with a varying cut-off length.
