Mechanical Engineering Commons^™

Investigation Of Filtering Methods For Large-Eddy Simulation, Weiyun Liu

Theses and Dissertations--Mechanical Engineering

This thesis focuses on the phenomenon of aliasing and its mitigation with two explicit filters, i.e., Shuman and Padé filters. The Shuman filter is applied to velocity components of the Navier--Stokes equations. A derivation of this filter is presented as an approximation of a 1-D “pure math” mollifier and extend this to 2D and 3D. Analysis of the truncation error and wavenumber response is conducted with a range of grid spacings, Reynolds numbers and the filter parameter, β. Plots of the relationship between optimal filter parameter β and grid spacing, L²-norm error and Reynolds number to suggest …