Numerical assessment of the two-point statistical equations in liquid/gas flows
Résumé
The transport equation for the two-point statistics of the liquid phase was first introduced by Thiesset et al. (2020a) and employed to characterize the transport of liquid in homogeneous decaying turbulence. The same framework was then applied to a liquid/gas shear flow by Thiesset et al. (2019, 2020b). In these situations, the two-point statistics of the liquid phase is appraised from Direct Numerical Simulations data (DNSs) using the "archer" code and the "increments" library of "pyarcher" (the python platform for pre- and post-processing "archer" data). The present paper aims at documenting the appropriateness of such numerical tools on some validation test cases. Light is shed onto (i) the effect of the numerical resolution, (ii) the type of scalar (liquid-volume-fraction LVF \textit{vs} colour-function CF) which is employed as representative of the liquid phase and (iii) the appropriateness of some numerical strategies for computing angular or spherical averages.
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