scholarly journals Uncertainty Quantification for Turbulent Mixing Flows: Rayleigh-Taylor Instability

2012 ◽  
pp. 212-225 ◽  
Author(s):  
T. Kaman ◽  
R. Kaufman ◽  
J. Glimm ◽  
D. H. Sharp
Keyword(s):  
Uncertainty Quantification ◽  
Turbulent Mixing ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

scholarly journals Experimental investigation into inertial properties of Rayleigh–Taylor turbulence

1997 ◽  
Vol 15 (1) ◽  
pp. 25-31 ◽  
Author(s):  
Yu.A. Kucherenko ◽  
S.I. Balabin ◽  
R. Cherret ◽  
J.F. Haas
Keyword(s):  
Experimental Investigation ◽  
Kinetic Energy ◽  
Turbulent Mixing ◽  
Average Density ◽  
Taylor Instability ◽  
X Ray ◽  
Two Fluids ◽  
Time Space ◽  
Rayleigh Taylor Instability ◽  
Region Size

An experimental investigation into inertial properties of the developed Rayleigh–Taylor instability with the different initial values of the kinetic energy of turbulence has been performed. The experiments were performed by using two fluids having different densities with density ration n = 3. Fluids were placed in an ampoule. At the unstable stage of motion, the ampoule was moving under an acceleration. At a certain instant of time the acceleration was removed and the ampoule moved under the force of inertia. By means of pulsed X-ray photography, the mixing region size and the time-space distributionof the average density of matter in the turbulent mixing region have been determined at different instants of time. The time-space distributions are compared with those obtained by semiempirical theories of mixing.

On validation of turbulent mixing simulations for Rayleigh–Taylor instability

2008 ◽  
Vol 20 (1) ◽  
pp. 012102 ◽  
Author(s):  
Hyunsun Lee ◽  
Hyeonseong Jin ◽  
Yan Yu ◽  
James Glimm
Keyword(s):  
Turbulent Mixing ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

scholarly journals A New Approach to the Rayleigh–Taylor Instability

2021 ◽  
Author(s):  
Björn Gebhard ◽  
József J. Kolumbán ◽  
László Székelyhidi
Keyword(s):  
Turbulent Mixing ◽  
Taylor Instability ◽  
General Criterion ◽  
New Approach ◽  
Two Fluids ◽  
Flat Interface ◽  
Rayleigh Taylor Instability ◽  
Incompressible Euler ◽  
Atwood Number ◽  
High Range

AbstractIn this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the constitutive laws we formulate a general criterion for the existence of infinitely many weak solutions which reflect the turbulent mixing of the two fluids. Our criterion can be verified in the case that initially the fluids are at rest and separated by a flat interface with the heavier one being above the lighter one—the classical configuration giving rise to the Rayleigh–Taylor instability. We construct specific examples when the Atwood number is in the ultra high range, for which the zone in which the mixing occurs grows quadratically in time.

Application of an All-Speed Implicit Finite-Volume Algorithm to Rayleigh–Taylor Instability

2015 ◽  
Vol 12 (03) ◽  
pp. 1550018 ◽  
Author(s):  
Ilyas Yilmaz ◽  
Firat Oguz Edis ◽  
Hasan Saygin
Keyword(s):  
Mach Number ◽  
Finite Volume ◽  
Turbulent Mixing ◽  
Stokes Equations ◽  
Baroclinic Instability ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Fully Implicit ◽  
Energy Conserving ◽  
Rayleigh Taylor Instability

We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh–Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier–Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.

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