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

Title: Effects of operator splitting and low Mach-number correction in turbulent mixing transition simulations

Journal Article · · Computers and Mathematics with Applications (Oxford)
ORCiD logo [1];  [1];  [1];  [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
+ Show Author Affiliations

In this paper, transition and turbulence decay with the Taylor–Green vortex have been effectively used to demonstrate emulation of high Reynolds-number ( R e ) physical dissipation through numerical convective effects of various non-oscillatory finite-volume algorithms for implicit large eddy simulation (ILES), e.g. using the Godunov-based Eulerian adaptive mesh refinement code xRAGE. The inverse-chevron shock tube experiment simulations have been also used to assess xRAGE based ILES for shock driven turbulent mixing, compared with available simulation and laboratory data. The previous assessments are extended to evaluate new directionally-unsplit high-order algorithms in xRAGE, including a correction to address the well-known issue of excessive numerical diffusion of shock-capturing (e.g., Godunov-type) schemes for low Mach numbers. The unsplit options for hydrodynamics in xRAGE are discussed in detail, followed by fundamental tests with representative shock problems. Basic issues of transition to turbulence and turbulent mixing are discussed, and results of simulations of high- R e turbulent flow and mixing in canonical test cases are reported. Finally, compared to the directional-split cases, and for each grid resolution considered, unsplit results exhibit transition to turbulence with much higher effective R e —and significantly more so with the low Mach number correction.

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:
1441319
Report Number(s):
LA-UR-17-31238
Journal Information:
Computers and Mathematics with Applications (Oxford), Vol. 78, Issue 2; ISSN 0898-1221
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (38)

On integrating large eddy simulation and laboratory turbulent flow experiments journal July 2009
An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence journal April 1996
On the computation of instabilities and symmetry-breaking in fluid mechanics journal November 2005
The RAGE radiation-hydrodynamic code journal October 2008
Glimm’s Method for Gas Dynamics journal March 1982
Towards the Ultimate Conservative Difference Scheme journal August 1997
Simulations of Richtmyer–Meshkov instabilities in planar shock-tube experiments journal March 2011
Three-dimensional simulation strategy to determine the effects of turbulent mixing on inertial-confinement-fusion capsule performance journal May 2014
High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates journal August 2014
Efficient implementation of essentially non-oscillatory shock-capturing schemes journal August 1988
An improved reconstruction method for compressible flows with low Mach number features journal May 2008
On the behavior of upwind schemes in the low Mach number limit: II. Godunov type schemes journal May 2004
Turbulent mixing in spherical implosions journal January 2008
Reynolds-averaged Navier–Stokes initialization and benchmarking in shock-driven turbulent mixing journal February 2013
Effects of initial condition spectral content on shock-driven turbulent mixing journal July 2015
Small-scale structure of the Taylor–Green vortex journal May 1983
Simulation of transition and turbulence decay in the Taylor–Green vortex journal January 2007
Richtmyer–Meshkov turbulent mixing arising from an inclined material interface with realistic surface perturbations and reshocked flow journal April 2011
Estimating the effective Reynolds number in implicit large-eddy simulation journal January 2014
A Comparison of Three Approaches to Compute the Effective Reynolds Number of the Implicit Large-Eddy Simulations journal April 2016
A High-Order Godunov Method for Multiple Condensed Phases journal October 1996
A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation journal August 2013
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws journal January 1983
On Godunov-Type Methods for Gas Dynamics journal April 1988
Restoration of the contact surface in the HLL-Riemann solver journal July 1994
A simple unsplit Godunov method for multidimensional MHD journal February 2009
Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows journal September 2005
The mixing transition in turbulent flows journal April 2000
Unification and extension of the similarity scaling criteria and mixing transition for studying astrophysics using high energy density laboratory experiments or numerical simulations journal August 2007
Local isotropy in turbulent boundary layers at high Reynolds number journal June 1994
Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box journal February 2003
Dissipation in Turbulent Flows journal January 2015
Direct simulation of three-dimensional turbulence in the Taylor–Green vortex journal October 1991
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow journal July 2005
On the identification of a vortex journal February 1995
Observation of mix in a compressible plasma in a convergent cylindrical geometry journal November 2002
Monotonically Integrated Large Eddy Simulation of Free Shear Flows journal May 1999
Implicit large-eddy simulation of passive scalar mixing in statistically stationary isotropic turbulence journal February 2013

Cited By (1)

Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities journal August 2019

Figures / Tables (31)

Fig. 1(p. 6)figure Fig. 1
Fig. 2(p. 7)figure Fig. 2
Fig. 3(p. 8)figure Fig. 3
Fig. 4(p. 9)figure Fig. 4
Fig. 5(p. 9)figure Fig. 5
Fig. 6(p. 10)figure Fig. 6
Fig. 7(p. 10)figure Fig. 7
Fig. 8(p. 11)figure Fig. 8
Fig. 9(p. 11)figure Fig. 9
Fig. 10(p. 12)figure Fig. 10
Fig. 11(p. 12)figure Fig. 11
Fig. 12(p. 12)figure Fig. 12
Fig. 13(p. 13)figure Fig. 13
Fig. 14(p. 13)figure Fig. 14
Table 1(p. 13)table Table 1
Fig. 15(p. 14)figure Fig. 15
Fig. 16(p. 14)figure Fig. 16
Fig. 17(p. 15)figure Fig. 17
Fig. 18(p. 15)figure Fig. 18
Fig. 19(p. 15)figure Fig. 19
Fig. 20(p. 17)figure Fig. 20
Fig. 21(p. 17)figure Fig. 21
Fig. 22(p. 18)figure Fig. 22
Fig. 23(p. 18)figure Fig. 23
Table 2(p. 18)table Table 2
Fig. 24(p. 19)figure Fig. 24
Fig. 25(p. 19)figure Fig. 25
Fig. 26(p. 20)figure Fig. 26
Fig. 27(p. 21)figure Fig. 27
Fig. 28(p. 21)figure Fig. 28
Fig. 29(p. 22)figure Fig. 29

Similar Records

Coarse grained simulation of convectively driven turbulent mixing, transition, and turbulence decay
Journal Article · Wed Feb 19 00:00:00 EST 2020 · Physica. D, Nonlinear Phenomena · OSTI ID:1441319
Impact of Numerical Hydrodynamics in Turbulent Mixing Transition Simulations
Journal Article · Mon Mar 01 00:00:00 EST 2021 · Physics of Fluids · OSTI ID:1441319
Effect of the numerical discretization scheme in Shock-Driven turbulent mixing simulations
Journal Article · Sat Feb 29 00:00:00 EST 2020 · Computers and Fluids · OSTI ID:1441319

Related Subjects

97 MATHEMATICS AND COMPUTING
shock-driven turbulence
material mixing
Eulerian methods