A volume‐based discrete test filter for conducting large eddy simulations with application to physiological flow in a constricted tube

Abstract

SUMMARYA discrete test-filtering operation that takes advantage of a volume-averaging procedure, as opposed to the more popular line-interpolation technique, has been developed to enable mixed-scale and dynamic LES simulations on general unstructured grids. Simulations of fully developed turbulent flow in a square duct show that the proposed test filter gives the results of similar accuracy to the best modern filters developed for non-uniform orthogonal grids, but a second-order correction is required to produce solutions of sufficient accuracy. The discrete filter technique is also used to simulate stationary and pulsatile turbulent flow in a 75% constricted tube, in which the flow undergoes transition to turbulence. Comparisons to previous published results confirm that the results obtained using the proposed discrete test filter are in a good agreement with the existing experimental and numerical results.

High-order incompressible large-eddy simulation of fully inhomogeneous turbulent flows

“…This filtering procedure is known to produce very good result with non-uniform grids for channel flow cases [39] but limited only to orthogonal grids. …”

Large eddy simulation in generalized curvilinear coordinates using conventional approach: Theory and validation

“…Bahramian [46] proposed a volume-based discrete filter that could be used for both structured and unstructured grids, but in their model the filtering operation commutes to one order less than the order of the numerical scheme.…”