Atwood effects on nonlocality of the scalar transport closure in Rayleigh-Taylor mixing
Phys. Rev. Fluids 10, 124501 – Published 1 December, 2025
DOI: https://doi.org/10.1103/svjh-8pzl
Abstract
The importance of nonlocality is assessed in modeling mean scalar transport for turbulent Rayleigh-Taylor (RT) mixing at different Atwood numbers. Building on the two-dimensional incompressible work of Lavacot et al. [J. Fluid Mech. 985, A47 (2024)], the present work extends the macroscopic forcing method to variable density problems in three-dimensional space to measure moments of the generalized eddy diffusivity kernel in RT mixing for increasing Atwood numbers (). It is found that as increases, (1) the eddy diffusivity moments become asymmetric and (2) the higher-order eddy diffusivity moments become larger relative to the leading-order diffusivity, indicating that nonlocality becomes more important at higher . There is a particularly strong temporal nonlocality at higher , suggesting stronger history effects. The implications of these findings for closure modeling for finite-Atwood RT are discussed.