Scale similarity is found in many natural phenomena in the universe,from fluid dynamics to astrophysics.In large eddy simulations of turbulent flows,some sub-grid scale(SGS)models are based on scale similarity.The ear...Scale similarity is found in many natural phenomena in the universe,from fluid dynamics to astrophysics.In large eddy simulations of turbulent flows,some sub-grid scale(SGS)models are based on scale similarity.The earliest scale similarity SGS model was developed by Bardina et al.,which produced SGS stresses with good correlation to the true stresses.In the present study,we perform a mathematical analysis of scale similarity.The analysis has revealed that the ratio of the resolved stress to the SGS stress is g2,where g is the ratio of the second filter width to the first filter width,under the assumption of small filter width.The implications of this analysis are discussed in the context of large eddy simulation.展开更多
基金The authors gratefully acknowledge the support by NASA under grant NNX12AK04A monitored by Dr.H.T.Huynh and AFOSR under grant FA95501210286 managed by Dr.Fariba Fahroo.
文摘Scale similarity is found in many natural phenomena in the universe,from fluid dynamics to astrophysics.In large eddy simulations of turbulent flows,some sub-grid scale(SGS)models are based on scale similarity.The earliest scale similarity SGS model was developed by Bardina et al.,which produced SGS stresses with good correlation to the true stresses.In the present study,we perform a mathematical analysis of scale similarity.The analysis has revealed that the ratio of the resolved stress to the SGS stress is g2,where g is the ratio of the second filter width to the first filter width,under the assumption of small filter width.The implications of this analysis are discussed in the context of large eddy simulation.
