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Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial-value problem
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10.1063/1.3483206
/content/aip/journal/pof2/22/9/10.1063/1.3483206
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/9/10.1063/1.3483206

Figures

Image of FIG. 1.
FIG. 1.

Parameters and base flow profiles used in the liquid and gas phases for the viscous (left) and inviscid (right) linear stability problems.

Image of FIG. 2.
FIG. 2.

Real (top) and imaginary (bottom) parts of the eigenfunction for cases and of Table I.

Image of FIG. 3.
FIG. 3.

Simulation and fitted profiles of the interface line (top) and time evolution of its amplitude (bottom). The interface line on the left is at time (“” on the right plot).

Image of FIG. 4.
FIG. 4.

Theoretical and numerical growth rates of the most unstable mode for cases and (top) and and (bottom) of Table I with a spatial resolution of 16 511 cells in the GERRIS code.

Image of FIG. 5.
FIG. 5.

Theoretical and numerical growth rates of the most unstable mode for cases and of Table IV (top) and local zoom where the viscous and inviscid curves separate from each other (bottom).

Image of FIG. 6.
FIG. 6.

Real (top) and imaginary (bottom) components of the eigenfunction for case of Table IV.

Tables

Generic image for table
Table I.

Physical and geometrical parameters of the base flow profiles.

Generic image for table
Table II.

Variation of the growth rate with the number of Chebyshev polynomials for the four cases of Table I with .

Generic image for table
Table III.

Percentage difference of the growth rate for the four cases of Table I between the eigenvalue problem and the GERRIS and SURFER codes, for grid resolutions, , 32, 64, 128, and 256, and wavenumber . At the lowest resolutions we cannot always extract a meaningful growth rate from the simulation data.

Generic image for table
Table IV.

Physical and geometrical parameters of the base flow profiles at large density and viscosity ratios.

Generic image for table
Table V.

Percentage difference of the growth rate for the two cases of Table IV between the eigenvalue problem and GERRIS, for maximal grid resolutions, , 64, 128, and 256, and wavenumber . At the lowest resolution we cannot extract a meaningful growth rate from the simulation data.

Generic image for table
Table VI.

Average number of cells and CPU times for the two codes GERRIS and SURFER, for case of Table I, with different grid resolutions and wavenumber .

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/content/aip/journal/pof2/22/9/10.1063/1.3483206
2010-09-30
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Instability growth rate of two-phase mixing layers from a linear eigenvalue problem and an initial-value problem
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/9/10.1063/1.3483206
10.1063/1.3483206
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