1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Two classes of Richtmyer-Meshkov instabilities: A detailed statistical look
Rent:
Rent this article for
USD
10.1063/1.4802039
/content/aip/journal/pof2/25/4/10.1063/1.4802039
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802039

Figures

Image of FIG. 1.
FIG. 1.

Planar shocktube. (a) Flow configuration; (b) typical shock/interface evolution. Reprinted with permission from A. A. Gowardhan, J. R. Ristorcelli, and F. F. Grinstein, Phys. Fluids , 071701 (2011). Copyright 2011 American Institute of Physics.

Image of FIG. 2.
FIG. 2.

Initial material interface characteristics. Reprinted with permission from A. A. Gowardhan, J. R. Ristorcelli, and F. F. Grinstein, Phys. Fluids , 071701 (2011). Copyright 2011 American Institute of Physics.

Image of FIG. 3.
FIG. 3.

Zero-crossings of ρ′; L denotes the transverse dimension of the computational domain. Reprinted with permission from A. A. Gowardhan, J. R. Ristorcelli, and F. F. Grinstein, Phys. Fluids , 071701 (2011). Copyright 2011 American Institute of Physics.

Image of FIG. 4.
FIG. 4.

Mixing width evolution for first shock low- and high- . (a) First-shocked only for low- and high- ; (b) rescaled to collapse data. Arrows indicate the direction of increasing . Reprinted with permission from A. A. Gowardhan, J. R. Ristorcelli, and F. F. Grinstein, Phys. Fluids , 071701 (2011). Copyright 2011 American Institute of Physics.

Image of FIG. 5.
FIG. 5.

Mixing width growth. (a) Low- first-shocked/reshocked; (b) high- first-shocked only. Arrows indicate the direction of increasing . ICs at = 0 are characterized by the single parameter .

Image of FIG. 6.
FIG. 6.

The evolution of a bulk . (a) Low- first-shocked/reshocked; (b) high- first-shocked only. Units are m/s. Note that at ∼ 5000 s on (a) the second (reflected compression wave) reshock occurs increasing the energy of the layer. Arrows indicate the direction of increasing .

Image of FIG. 7.
FIG. 7.

Turbulent kinetic energy. (a) Low- first-shocked/reshocked; (b) high- first-shocked only. The arrows indicate the direction of increasing . Not shown are the arrows for the pre-reshock low- case. Note that at ∼ 5000 s on the left hand side the second (reflected compression wave) reshock occurs increasing the energy of the layer.

Image of FIG. 8.
FIG. 8.

Enstrophy. (a) Low- first-shocked/reshocked; (b) high- first-shocked only. The enstrophy increase at t ∼ 5000 s on (a) reflects occurrence of the reflected compression wave reshock.

Image of FIG. 9.
FIG. 9.

Anisotropy evolution. (a) Low- first-shocked/reshocked; (b) high- first-shocked only.

Image of FIG. 10.
FIG. 10.

(a) and (b) Spectral bandwidth and energy spectra evolution: first-shocked cases only; () spectra at representative times are shown in (b), where (*) denotes finer resolution results (see also Fig. 11 ).

Image of FIG. 11.
FIG. 11.

Taylor mass-density microscale wavenumber: evolution of wavenumber κ(t) after first-shocked low and high cases. The cases with (*) denote finer (doubled) resolution results; in the worst-case resolution scenarios, i.e., shortest IC wavelength sets ( = π/4 and = 10π/4), 20–60 cells/wavelength were involved on the coarsest grid (and 40–120 on the finest).

Image of FIG. 12.
FIG. 12.

“Spectral bandwidth” measure (). (a) Low- first-shocked/reshocked; (b) high- first-shocked only.

Image of FIG. 13.
FIG. 13.

Turbulent eddy viscosity: ν = δ(). (a) Low- first-shocked/reshocked; (b) high- first-shocked only. Note that at ∼ 5000 s on the left plot a second reshock is occurring and that increases the energy a second time. Units are m/s.

Image of FIG. 14.
FIG. 14.

Mixing visualizations. Column 1: first-shocked low- case. Column 2: low- after being first-shocked/reshocked. Column 3: first-shocked high- case. Images taken at = 3000 s after first-shock (columns 1 and 3) or = 3000 s after reshock (column 2).

Image of FIG. 15.
FIG. 15.

PDFs of for: (a) high- and low- first-shocked; (b) first-shocked high- and first-shocked/reshocked low- . Plots for same times as in Fig. 14 , and PDFs at = 3000 s after first-shocked-only or = 3000 s after reshock.

Image of FIG. 16.
FIG. 16.

Density Taylor microscale wavenumber. (a) Low- first-shocked/reshocked; (b) high- first-shocked-only (see also Fig. 11 ).

Image of FIG. 17.
FIG. 17.

The evolution of . (a) Low- first shocked/reshocked; (b) high- first-shocked only.

Image of FIG. 18.
FIG. 18.

Evolution of the mean mass-density variance . (a) Low- first shocked/reshocked; (b) high- first-shocked only.

Image of FIG. 19.
FIG. 19.

Evolution of . (a) Low- : first shock and reshock; (b) high- : first shock.

Image of FIG. 20.
FIG. 20.

Evolution of . (a) Low- first shocked/reshocked; (b) high- first-shocked only.

Tables

Generic image for table
Table I.

Planar shock-tube simulations.

Loading

Article metrics loading...

/content/aip/journal/pof2/25/4/10.1063/1.4802039
2013-04-25
2014-04-24
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Two classes of Richtmyer-Meshkov instabilities: A detailed statistical look
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/4/10.1063/1.4802039
10.1063/1.4802039
SEARCH_EXPAND_ITEM