Assuming a general constitutive relation for the turbulent stresses in terms of the local large-
scale velocity gradient, we constructed a class of subgrid-scale models for large-eddy
simulation that are consistent with important physical and mathematical properties. In
particular, they preserve symmetries of the Navier-Stokes equations and exhibit the proper
near-wall scaling. They furthermore show desirable dissipation behavior and are capable of
describing nondissipative effects. We provided examples of such physically-consistent …

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 …