A dissipative scale-similarity model

Paper i proceeding, 2010

When Bardina in 1980 developed the scale-similarity model it was found that the gradient of the scale-similarity stress tensor was not sufficiently dissipative. They had to add a Smagorinsky SGS model. The present paper presents a scale-similarity model which is dissipative; this is achieved by using the fact that the viscous diffusion term is always dissipative. We include the gradient of the scale-similarity stress tensor only when its sign agrees with that of the viscous diffusion term, otherwise it is set to zero.