When is the LES filter commutative?(a) When the filter function is unity(b) When the filter function is quadratic(c) When the filter function is isotropic(d) When the filter function is uniformI had been asked this question in an interview for internship.My enquiry is from Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics

When is the LES filter commutative?(a) When the filter function is uni

1.	When is the LES filter commutative?(a) When the filter function is unity(b) When the filter function is quadratic(c) When the filter function is isotropic(d) When the filter function is uniformI had been asked this question in an interview for internship.My enquiry is from Turbulence Modelling topic in portion Turbulence Modelling of Computational Fluid Dynamics
Answer» Right choice is (d) When the filter function is UNIFORM The BEST explanation: The LES filter function is always linear. If a uniform filter function is used, the order of filtering and differentiation can be swapped with respect to TIME and space coordinates. Thus, the function will be COMMUTATIVE.

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