Title: Heat transfer and transport property contrast effects on the compressible Rayleigh-Taylor instability

Journal Article · · Physical Review Fluids (Online)

In extreme environments, the Rayleigh-Taylor instability (RTI) may occur under large variations in density and temperature and with fluid transport properties strongly dependent on temperature. Direct numerical simulations of the 3D fully compressible RTI are conducted, examining the idealized configuration of a hotter, less dense fluid pushing against a colder, denser fluid. Various temperature ratios and transport property configurations are explored to examine how heat conduction, large variations in transport properties, and sudden changes in transport properties can affect the evolution of the mixing layer. Nonuniform fluid expansion and contraction induced by heat transfer can significantly affect local density differences and overall instability growth, causing profile asymmetries about the initial interface for flow and mixing statistics. The departures from classical self-similar development of the instability along with misalignment between regions of mixing and regions of most intense turbulent activity caused by both heat transfer and transport property contrasts are examined. After sudden changes in fluid transport properties, which may occur as a result of rapid heating (e.g., in inertial confinement fusion), the flow quickly responds and begins to relax towards quasi-self-similar late-time evolution. For many dynamical quantities such as vorticity and dissipation, this late-time evolution resembles that of the configuration that already started with the final transport property magnitudes, suggesting that these quantities depend only on the transport properties and not on past flow history, provided that the density field distributions for the flows remain similar. On the other hand, the mixing evolution after the transport property change is unique, implying that both property magnitudes and previous history are impactful on the mixing. In conclusion, these simulations demonstrate how various temperature-related effects are extremely important to consider in compressible RTI flows with large temperature variations.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2558026
Report Number(s):
LA-UR--24-32545
Journal Information:
Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 4 Vol. 9; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (53)

A return toward equilibrium in a 2D Rayleigh–Taylor instability for compressible fluids with a multidomain adaptive Chebyshev method journal February 2008
Low Mach, compressibility, and finite size effects of localized uniform heat sources in a gas journal June 2019
Viscosity, heat conductivity, and Prandtl number effects in the Rayleigh–Taylor Instability journal August 2016
Comprehensive numerical methodology for direct numerical simulations of compressible Rayleigh–Taylor instability journal May 2016
Rayleigh–Taylor instability with gravity reversal journal March 2021
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I journal December 2017
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II journal December 2017
Transition stages of Rayleigh–Taylor instability between miscible fluids journal September 2001
Rayleigh–Taylor turbulence: self-similar analysis and direct numerical simulations journal May 2004
Variable-density mixing in buoyancy-driven turbulence journal May 2008
Compressibility effects on the growth and structure of homogeneous turbulent shear flow journal November 1993
The effect of viscosity and resistivity on Rayleigh–Taylor instability induced mixing in magnetized high-energy-density plasmas journal April 2022
Compressible Rayleigh–Taylor turbulent mixing layer between Newtonian miscible fluids journal September 2017
The Richtmyer–Meshkov instability of thermal, isotope and species interfaces in a five-moment multi-fluid plasma journal November 2022
Turbulent mixing in the vertical magnetic Rayleigh–Taylor instability journal January 2024
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae journal July 2006
How high energy fluxes may affect Rayleigh–Taylor instability growth in young supernova remnants journal April 2018
Deceleration phase of inertial confinement fusion implosions journal May 2002
Compressibility effects on the Rayleigh–Taylor instability growth between immiscible fluids journal January 2004
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration journal May 2004
Self-similarity of Rayleigh–Taylor mixing rates journal May 2005
Large-eddy simulation of Rayleigh-Taylor turbulence with compressible miscible fluids journal July 2005
Monoenergetic proton backlighter for measuring E and B fields and for radiographing implosions and high-energy density plasmas (invited) journal October 2006
Rayleigh–Taylor shock waves journal December 2007
Dissipation and enstrophy in isotropic turbulence: Resolution effects and scaling in direct numerical simulations journal April 2008
The effects of plasma diffusion and viscosity on turbulent instability growth journal September 2014
Plasma viscosity with mass transport in spherical inertial confinement fusion implosion simulations journal November 2015
Viscous effects on the Rayleigh-Taylor instability with background temperature gradient journal July 2016
Two mode coupling of the ablative Rayleigh-Taylor instabilities journal March 2019
Characteristics of chemically reacting compressible homogeneous turbulence journal May 2000
Plasma transport simulations of Rayleigh–Taylor instability in near-ICF deceleration regimes journal September 2021
Effects of Atwood number and stratification parameter on compressible multi-mode Rayleigh–Taylor instability journal November 2021
High-Reynolds number Rayleigh–Taylor turbulence journal January 2009
New phenomena in variable-density Rayleigh–Taylor turbulence journal December 2010
Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability journal December 2010
Compressibility effects in Rayleigh–Taylor flows: influence of the stratification journal July 2013
Observation of strong electromagnetic fields around laser-entrance holes of ignition-scale hohlraums in inertial-confinement fusion experiments at the National Ignition Facility journal February 2013
Extreme velocity gradients in turbulent flows journal April 2019
Statistical Theory of Turbulence journal September 1935
Application of monotone integrated large eddy simulation to Rayleigh–Taylor mixing journal July 2009
Sudden diffusion of turbulent mixing layers in weakly coupled plasmas under compression journal December 2019
Design of an inertial fusion experiment exceeding the Lawson criterion for ignition journal August 2022
Experimental achievement and signatures of ignition at the National Ignition Facility journal August 2022
Preconditions and limitations of the postulate of scalar-dissipation–conductivity independence in a variable conductivity medium journal October 2011
Mixing with applications to inertial-confinement-fusion implosions journal January 2017
Effects of isothermal stratification strength on vorticity dynamics for single-mode compressible Rayleigh-Taylor instability journal September 2019
Mixing and energy transfer in compressible Rayleigh-Taylor turbulence for initial isothermal stratification journal October 2022
Monoenergetic-Proton-Radiography Measurements of Implosion Dynamics in Direct-Drive Inertial-Confinement Fusion journal June 2008
Validity of Taylor’s Dissipation-Viscosity Independence Postulate in Variable-Viscosity Turbulent Fluid Mixtures journal August 2008
Self-Similar Multimode Bubble-Front Evolution of the Ablative Rayleigh-Taylor Instability in Two and Three Dimensions journal October 2018
Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment journal August 2022
Turbulence with Large Thermal and Compositional Density Variations journal January 2020
Incompressible Rayleigh–Taylor Turbulence journal January 2017