Title Delineation of the flow and mixing induced by Rayleigh-Taylor instability through tracers
Authors Zhang, Ge
Xu, Aiguo
Zhang, Dejia
Li, Yingjun
Lai, Huilin
Hu, Xiaomian
Affiliation Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China
Peking Univ, Coll Engn, MOE Key Ctr High Energy Dens Phys Simulat, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China
China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Beijing 100083, Peoples R China
Fujian Normal Univ, Ctr Appl Math Fujian Prov FJNU, FJKLMAA, Coll Math & Stat, Fuzhou 350117, Peoples R China
Keywords MODEL
COMPRESSIBILITY
SIMULATION
GROWTH
Issue Date Jul-2021
Publisher PHYSICS OF FLUIDS
Abstract Rayleigh-Taylor-instability (RTI) induced flow and mixing are of great importance in both nature and engineering scenarios. To capture the underpinning physics, tracers are introduced to make a supplement to discrete Boltzmann simulation of compressible RTI flows. By marking two types of tracers with different colors, the tracer distribution provides a clear boundary of two fluids during the evolution. Fine structures of RTI flow and thermodynamic non-equilibrium behavior around the interface in a miscible two-fluid system are delineated. Distribution of tracers in their velocity phase space makes a charming pattern showing quite dense information on the flow behavior, which opens a new perspective for analyzing and accessing significantly deep insights into the flow system. RTI mixing is further investigated via tracer-defined local mixedness. The appearance of Kelvin-Helmholtz instability is quantitatively captured by the abrupt increase in mixedness averaged along the direction of acceleration. The role of compressibility and viscosity on mixing are investigated separately, both of which show a two-stage effect. The underlying mechanism of the two-stage effect is interpreted as the development of large structures at the initial stage and the generation of small structures at the late stage. At the late stage, for a fixed time, a saturation phenomenon of viscosity is found that a further increase in viscosity cannot lead to an evident decline in mixedness. The mixing statues of heavy and light fluids are not synchronous and the mixing of an RTI system is heterogeneous. The results are helpful for understanding the mechanism of flow and mixing induced by RTI.
URI http://hdl.handle.net/20.500.11897/624250
ISSN 1070-6631
DOI 10.1063/5.0051154
Indexed SCI(E)
Appears in Collections: 工学院

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