Assessment of the Generalized Scale-similarity Model in Compressible Homogeneous Isotropic Turbulence

Abstract

In the present work we carried out the assesment of the generalized scale-similarity model (CB-CS) in compressible homogeneous isotropic turbulence at a moderately high Reynolds number, by comparing with previous dynamic subgrid-scale (SGS) stress models, viz, the dynamic Smagorinsky model(DSM), the dynamic mixed model and the dynamic two-parameter mixed model. In the “a priori” test, it was shown that the SGS stress tensor obtained using the CB-CS model had the closest agreement with the exact value, and the amount of energy transfer between subgrid-scale energy and grid-scale energy was most accurately predicted using the CB-CS model. In an actual large-eddy simulation, it was shown that both the development of turbulent energy and the evolution of the turbulent structure, such an the vortex tube, predicted using the CB-CS model were close to those of the filtered DNS data. The primary cause for a high accuracy of the scale-similarity model was explored.