A Study of a Gravity-Gradient Mixing Properties by the Means of a Direct Numerical Modeling

Тишкин, В. Ф.; Змитренко, Н. В.; Ladonkina, M.Ye.; Proncheva, N.; Garina, S.M.

doi:10.1016/b978-044451612-1/50025-1

Cited by 2 publications

(3 citation statements)

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“…Authors for raising productivity of computations have utilized parallelizing of calculations. The present paper essentially differs from [11], [12] because in mentioned papers the instability develops at the expense of unstable stratification (a heavy liquid has been initially placed above a light one). In the present paper, the stratification is continuous and stable; but in time the instability develops in itself, that is, under other mechanism than in [11], [12].…”

Section: Introductionmentioning

confidence: 88%

“…The present paper essentially differs from [11], [12] because in mentioned papers the instability develops at the expense of unstable stratification (a heavy liquid has been initially placed above a light one). In the present paper, the stratification is continuous and stable; but in time the instability develops in itself, that is, under other mechanism than in [11], [12]. The instability is shaped by an initial vortex as it occur in occur in experiments of [9], [10].…”

Section: Introductionmentioning

confidence: 88%

“…Processes of mixing in viscous two-layer 3D− fluids with unstable stratification were numerically explored in [11], [12] (see also the literature quoted there). Authors for raising productivity of computations have utilized parallelizing of calculations.…”

Section: Introductionmentioning

confidence: 99%

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Study of internal wave breaking dependence on stratification

Kshevetskii,

Leble

2012

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Mixing effect in a stratified fluid is considered and examined. Euler equations for incompressible fluid stratified by a gravity field are applied to state a mathematical problem and describe the effect. It is found out that a system of Euler equations is not enough for a formulation of correct generalized problem. Some complementary relations are suggested and justified. A numerical method is developed and applied for study of processes of vortex destruction and mixing progress in a stratified fluid. The dependence of vortex destruction on a stratification scale is investigated numerically and it is shown that the effect increases with the stratification scale. It is observed that the effect of vortex destruction is absent when the fluid density is constant. Some simple mathematical explanation of the effect is suggested.

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Section: Introductionmentioning

confidence: 88%