Favre-Averaged Spatiotemporal-Filtered Large Eddy Simulation

摘要

This study explores Favre-averaged space-time filtering of nonlinear partial differential equations for turbulence modeling. The mathematical derivation is presented in detail and the unknown terms resulting from the Favre-averaged space-time filtering process arc provided. As a first step, this study focuses on identifying the mathematical operational difference between the proposed Favre-averaged spatial-temporal filtering and the traditional spatial-filtering processes, the resulting unknown terms, and potential issues in modeling these terms. Additionally, a rigorous nonlinear stability analysis is performed, helping identify advantages and disadvantages of each filtering approach.