We present a shock capturing method for large-eddy simulation of turbulent flows. The
proposed method relies on physical mechanisms to resolve and smooth sharp unresolved
flow features that may otherwise lead to numerical instability, such as shock waves and
under-resolved thermal and shear layers. To that end, we devise various sensors to detect
when and where the shear viscosity, bulk viscosity and thermal conductivity of the fluid do
not suffice to stabilize the numerical solution. In such cases, the fluid viscosities are …