Hello every body, i have some problem with my results. I did 3D DNS of the diffussion flame. in that i would like to know whether scalar dissipation rate is well ressolved or not? what is the test to verify it? i calculated Kolmogorov scale , ressolution is roughly comming around 12 times the kolmogorov scale.. but i would like to know is there any other way of checking of my results. thanykyou in advance

You are calculating scalar dissipation rate. For scalars, the smallest length scale is the Batchelor scale. If Schmidt number, Sc=1, then the Batchelor scale is on the same order as Kolmogorov scale. For Sc>1, the Batchelor scale will be smaller than the Kolmogorov scale and can be approximated by the relation,

LB ~ Sc^(-0.5)*LK

LB = Batchelor scale Sc = Schmidt number = kinematic viscosity/molecular diffusivity LK = Kolmogorov scale

To resolve the scalar dissipation rate, you should be close to Batchelor scale and in case Sc > 1, a resolution of 12 times Kolmogorov scale will not be sufficient.