Nonlinear saturated states of the magnetic-curvature-driven Rayleigh–Taylor instability in three dimensions

2005 ◽  
Vol 12 (3) ◽  
pp. 032302 ◽  
Author(s):  
Amita Das ◽  
Abhijit Sen ◽  
Predhiman Kaw ◽  
S. Benkadda ◽  
Peter Beyer
Keyword(s):  
Taylor Instability ◽  
Three Dimensions ◽  
Rayleigh Taylor Instability ◽  
Curvature Driven

scholarly journals The Magnetic Rayleigh‐Taylor Instability in Three Dimensions

2007 ◽  
Vol 671 (2) ◽  
pp. 1726-1735 ◽  
Author(s):  
James M. Stone ◽  
Thomas Gardiner
Keyword(s):  
Taylor Instability ◽  
Three Dimensions ◽  
Rayleigh Taylor Instability

scholarly journals Arbitrary Lagrange–Eulerian code simulations of turbulent Rayleigh–Taylor instability in two and three dimensions

2003 ◽  
Vol 21 (3) ◽  
pp. 455-461 ◽  
Author(s):  
S.V. WEBER ◽  
G. DIMONTE ◽  
M.M. MARINAK
Keyword(s):  
Linear Growth ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Grid Refinement ◽  
Group Code ◽  
Interface Reconstruction ◽  
Intercomparison Project ◽  
Rayleigh Taylor Instability

We have performed simulations of the evolution of the turbulent Rayleigh–Taylor instability with an arbitrary Lagrange–Eulerian code. The problem specification was defined by Dimonteet al.(2003) for the “alpha group” code intercomparison project. Perfect γ = 5/3 gases of densities 1 and 3 g/cm3are accelerated by constant gravity. The nominal problem uses a 2562× 512 mesh with initial random multiwavelength interface perturbations. We have also run three-dimensional problems with smaller meshes and two-dimensional (2D) problems of several mesh sizes. Under-resolution lowered linear growth rates of the seed modes to 5-60% of the analytic values, depending on wavelength and orientation to the mesh. However, the mix extent in the 2D simulations changed little with grid refinement. Simulations without interface reconstruction gave penetration only slightly reduced from the case with interface reconstruction. Energy dissipation differs little between the two cases. The slope of the penetration distance versus time squared, corresponding to the α parameter inh= αAgt2, decreases with increasing time in these simulations. The slope, α, is consistent with the linear electric motor data of Dimonte and Schneider (2000), but the growth is delayed in time.

scholarly journals Three-dimensional simulations of the Rayleigh–Taylor instability during the deceleration phase

1994 ◽  
Vol 12 (2) ◽  
pp. 163-183 ◽  
Author(s):  
R.P.J. Town ◽  
B.J. Jones ◽  
J.D. Findlay ◽  
A.R. Bell
Keyword(s):  
Inertial Confinement Fusion ◽  
Nonlinear Evolution ◽  
Three Dimensional ◽  
Taylor Instability ◽  
Three Dimensions ◽  
Inertial Confinement ◽  
Deceleration Phase ◽  
Confinement Fusion ◽  
Rayleigh Taylor Instability ◽  
Three Dimensional Simulations

The growth of the Rayleigh-Taylor instability in three dimensions is ex amined during the deceleration phase of an inertial confinement fusion implosion. A detailed discussion of the three-dimensional hydrocode, PLATO, is presented. A review of previous calculations is given, concentrating on theshape of the R-T instability in three dimensions. Results of the growth rate during the linear phase, the saturation amplitude, and the nonlinear evolution are presented.

scholarly journals Magnetic curvature driven Rayleigh-Taylor instability revisited

2011 ◽  
Vol 29 (2) ◽  
pp. 411-413 ◽  
Author(s):  
O. A. Pokhotelov ◽  
O. G. Onishchenko
Keyword(s):  
Spatial Scales ◽  
Taylor Instability ◽  
Larmor Radius ◽  
Radius Of Curvature ◽  
Ion Temperature ◽  
Plasma Inhomogeneity ◽  
Hydrodynamic Description ◽  
Rayleigh Taylor Instability ◽  
Field Lines ◽  
Curvature Driven

Abstract. The problem of incomplete finite ion Larmor radius (FLR) stabilization of the magnetic curvature driven Rayleigh-Taylor instability (RTI) in low beta plasma with homogeneous ion temperature is investigated. For this purpose a model hydrodynamic description of nonlinear flute waves with arbitrary spatial scales compared to the ion Larmor radius is developed. It is shown that the RTI is not stabilized by FLR effects in a plasma with cold electrons when the ratio of characteristic spatial scale of the plasma inhomogeneity to local effective radius of curvature of the magnetic field lines is larger than 1/4. The crucial role in the absence of the complete FLR stabilization plays the contribution of the compressibility of the polarization part of the ion velocity.

Ablative Rayleigh-Taylor instability in three dimensions

1990 ◽  
Vol 41 (10) ◽  
pp. 5695-5698 ◽  
Author(s):  
Jill P. Dahlburg ◽  
John H. Gardner
Keyword(s):  
Taylor Instability ◽  
Three Dimensions ◽  
Rayleigh Taylor Instability

Modeling of multi-phase flows and natural convection in a square cavity using an incompressible smoothed particle hydrodynamics

2015 ◽  
Vol 25 (3) ◽  
pp. 513-533 ◽  
Author(s):  
Abdelraheem Mahmoud Aly
Keyword(s):  
Natural Convection ◽  
Taylor Instability ◽  
Three Dimensions ◽  
Square Cavity ◽  
Content Type ◽  
Incompressible Sph ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Rayleigh Taylor Instability ◽  
Multi Phase

Purpose – Modeling of multi-phase flows for Rayleigh-Taylor instability and natural convection in a square cavity has been investigated using an incompressible smoothed particle hydrodynamics (ISPH) technique. In this technique, incompressibility is enforced by using SPH projection method and a stabilized incompressible SPH method by relaxing the density invariance condition is applied. The paper aims to discuss these issues. Design/methodology/approach – The Rayleigh-Taylor instability is introduced in two and three phases by using ISPH method. The author simulated natural convection in a square/cubic cavity using ISPH method in two and three dimensions. The solutions represented in temperature, vertical velocity and horizontal velocity have been studied with different values of Rayleigh number Ra parameter (103=Ra=105). In addition, characteristic based scheme in Finite Element Method is introduced for modeling the natural convection in a square cavity. Findings – The results for Rayleigh-Taylor instability and natural convection flow had been compared with the previous researches. Originality/value – Modeling of multi-phase flows for Rayleigh-Taylor instability and natural convection in a square cavity has been investigated using an ISPH technique. In ISPH method, incompressibility is enforced by using SPH projection method and a stabilized incompressible SPH method by relaxing the density invariance condition is introduced. The Rayleigh-Taylor instability is introduced in two and three phases by using ISPH method. The author simulated natural convection in a square/cubic cavity using ISPH method in two and three dimensions.

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