Constructing Physically Consistent Subgrid-Scale Models for Large-Eddy Simulation of Incompressible Turbulent Flows

Silvis, M. H., Verstappen, R.

In: Turbulence and Interactions: Proceedings of the TI 2015 Conference. Ed. by Deville, M. O., Couaillier, V., Estivalezes, J.-L., Gleize, V., Lê, T.-H., Terracol, M., Vincent, S. Springer International Publishing, pp. 241–247 (2018). DOI: 10.1007/978-3-319-60387-2_26.

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We studied the construction of subgrid-scale models for large-eddy simulation of incompressible turbulent flows, focusing on consistency with important mathematical and physical properties. In particular, we considered the symmetries of the Navier–Stokes equations, and the near-wall scaling and dissipation behavior of the turbulent stresses. After showing that existing models do not all satisfy the desired properties, we discussed a general class of subgrid-scale models based on the local filtered velocity gradient. We provided examples of models from this class that preserve several of the symmetries of the Navier–Stokes equations and exhibit the same near-wall scaling behavior as the turbulent stresses. Furthermore, these models are capable of describing nondissipative effects.