Abstract
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.
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References
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The financial support of SNIC (Swedish National Infrastructure for Computing) for computer time at C3SE (Chalmers Center for Computational Science and Engineering) is gratefully acknowledged.
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Davidson, L. (2010). A Dissipative Scale-Similarity Model. In: Armenio, V., Geurts, B., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VII. ERCOFTAC Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3652-0_39
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DOI: https://doi.org/10.1007/978-90-481-3652-0_39
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