skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Numerical study of variable density turbulence interaction with a normal shock wave

Journal Article · · Journal of Fluid Mechanics
DOI:https://doi.org/10.1017/jfm.2017.542· OSTI ID:1471347
ORCiD logo [1];  [1];  [2]; ORCiD logo [3]
  1. Michigan State Univ., East Lansing, MI (United States). Dept. of Mechanical Engineering
  2. Texas A & M Univ., College Station, TX (United States). Dept. of Engineering
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Accurate numerical simulations of shock–turbulence interaction (STI) are conducted with a hybrid monotonicity-preserving–compact-finite-difference scheme for a detailed study of STI in variable density flows. Theoretical and numerical assessments of data confirm that all turbulence scales as well as the STI are well captured by the computational method. Linear interaction approximation (LIA) convergence tests conducted with the shock-capturing simulations exhibit a similar trend of converging to LIA predictions to shock-resolving direct numerical simulations (DNS). The effects of density variations on STI are studied by comparing the results corresponding to an upstream multi-fluid mixture with the single-fluid case. Here the results show that for the current parameter ranges, the turbulence amplification by the normal shock wave is much higher and the reduction in turbulence length scales is more significant when strong density variations exist. Turbulent mixing enhancement by the shock is also increased and stronger mixing asymmetry in the postshock region is observed when there is significant density variation. The turbulence structure is strongly modified by the shock wave, with a differential distribution of turbulent statistics in regions having different densities. The dominant mechanisms behind the variable density STI are identified by analysing the transport equations for the Reynolds stresses, vorticity, normalized mass flux and density specific volume covariance.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1471347
Report Number(s):
LA-UR-16-28069; applab
Journal Information:
Journal of Fluid Mechanics, Vol. 829; ISSN 0022-1120
Publisher:
Cambridge University PressCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

References (27)

VORTEX PARADIGM FOR ACCELERATED INHOMOGENEOUS FLOWS: Visiometrics for the Rayleigh-Taylor and Richtmyer-Meshkov Environments journal January 1999
T HE R ICHTMYER -M ESHKOV I NSTABILITY journal January 2002
Compact finite difference schemes with spectral-like resolution journal November 1992
The influence of entropy fluctuations on the interaction of turbulence with a shock wave journal March 1997
Reynolds- and Mach-number effects in canonical shock–turbulence interaction journal February 2013
Direct numerical simulation of isotropic turbulence interacting with a weak shock wave journal June 1993
Interaction of isotropic turbulence with shock waves: effect of shock strength journal June 1997
Consistent initial conditions for the DNS of compressible turbulence journal January 1997
Variable-density mixing in buoyancy-driven turbulence journal May 2008
Turbulent energy flux generated by shock/homogeneous-turbulence interaction journal April 2016
Accurate Monotonicity-Preserving Schemes with Runge–Kutta Time Stepping journal September 1997
The interaction of an isotropic field of acoustic waves with a shock wave journal October 1995
Direct numerical simulation of canonical shock/turbulence interaction journal December 2009
Passive-scalar wake behind a line source in grid turbulence journal August 2000
Atwood ratio dependence of Richtmyer–Meshkov flows under reshock conditions using large-eddy simulations journal February 2011
Applications of shock-induced mixing to supersonic combustion journal May 1993
Direct Numerical Simulation of a Turbulent Reactive Plume on a Parallel Computer journal December 1996
Numerical Study of Mixing Enhancement by Shock Waves in Model Scramjet Engine journal June 2003
Numerical investigations of shock wave interactions with a supersonic turbulent boundary layer journal May 2014
A high-order finite difference method for numerical simulations of supersonic turbulent flows journal January 2011
Turbulence structure behind the shock in canonical shock–vortical turbulence interaction journal September 2014
Vorticity dynamics after the shock–turbulence interaction journal July 2015
A Two-length Scale Turbulence Model for Single-phase Multi-fluid Mixing journal September 2015
Direct Numerical Simulation of a Mach 2 shock interacting with isotropic turbulence journal April 1995
Effect of Shock-Capturing Errors on Turbulence Statistics journal July 2010
Rayleigh scattering measurements of shock enhanced mixing conference February 2013
Shock-wave-induced mixing enhancement in scramjet combustors conference February 2013

Cited By (8)

Thermodynamic fluctuations in canonical shock–turbulence interaction: effect of shock strength journal June 2018
Evolution of scalar and velocity dynamics in planar shock-turbulence interaction journal January 2018
Kinetic energy transfer in compressible isotropic turbulence journal February 2018
Large eddy simulation investigation of the canonical shock–turbulence interaction journal November 2018
Linear interaction of two-dimensional free-stream disturbances with an oblique shock wave journal July 2019
Density effects on post-shock turbulence structure and dynamics journal October 2019
Experimental investigation of the interaction of a weak planar shock with grid turbulence in a counter-driver shock tube journal July 2019
Density Effects on the Post-shock Turbulence Structure and Dynamics text January 2019

Similar Records

Validation Data Acquisition in HTTF during PCC Events
Technical Report · Wed Feb 07 00:00:00 EST 2018 · OSTI ID:1471347

Vorticity dynamics after the shock–turbulence interaction
Journal Article · Thu Jul 23 00:00:00 EDT 2015 · Shock Waves · OSTI ID:1471347

Subgrid models for mass and thermal diffusion in turbulent mixing
Journal Article · Tue Jan 01 00:00:00 EST 2008 · Physics of Fluids · OSTI ID:1471347