Measuring scale-dependent shape anisotropy by coarse-graining: Application to inhomogeneous Rayleigh-Taylor turbulence

Zhao, Dongxiao; Aluie, Hussein

doi:10.1103/physrevfluids.8.114601

Title: Measuring scale-dependent shape anisotropy by coarse-graining: Application to inhomogeneous Rayleigh-Taylor turbulence

Journal Article · 06 November 2023 · Physical Review Fluids (Online)

DOI: https://doi.org/10.1103/physrevfluids.8.114601 · OSTI ID:2280946

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University of Rochester, NY (United States); Shanghai Jiao Tong University (China); Laboratory for Laser Energetics, University of Rochester
University of Rochester, NY (United States)

Here, we generalize the “filtering spectrum” to probe scales along different directions by spatial coarse-graining. This multidimensional filtering spectrum quantifies the spectral content of flows that are not necessarily homogeneous. From multidimensional spectral information, we propose a simple metric for shape anisotropy at various scales. The method is applied to simulations of two-dimensional (2D) and 3D Rayleigh-Taylor (RT) turbulence, which is inhomogeneous and anisotropic. We show that 3D RT has clear shape anisotropy at large scales with approximately 4:3 vertical to horizontal aspect ratio but tends toward isotropy at small scales as expected. In sharp contrast, we find that RT in 2D simulations, which are still the main modeling framework for many applications, is isotropic at large scales and its shape anisotropy increases at smaller scales where structures tend to be horizontally elongated. While this may be surprising, it is consistent with recent results that large-scale isotropy in 2D RT is due to the generation of a large-scale overturning circulation via an upscale cascade, while small-scale anisotropy is due to the stable stratification resultant from such overturning and the inefficient mixing in 2D.

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Research Organization:: University of Rochester, NY (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); NASA

Grant/Contract Number:: NA0003856; SC0020229; AC02-05CH11231; NA0003914; NA0004134; SC0014318; SC0019329

OSTI ID:: 2280946

Alternate ID(s):: OSTI ID: 2204910

Journal Information:: Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 11 Vol. 8; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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