Abstract
We consider the long-standing problem of Rayleigh-Taylor instability with variable acceleration, and focus on the early-time scale-dependent dynamics of an interface separating incompressible ideal fluids of different densities subject to an acceleration being a power-law function of time for a spatially extended three-dimensional flow periodic in the plane normal to the acceleration with symmetry group p6mm. By employing group theory and scaling analysis, we discover two distinct subregimes of the early-time dynamics depending on the exponent of the acceleration power-law. The time scale and the early-time dynamics are set by the acceleration for exponents greater than (-2), and by the initial growth-rate (due to, e.g., initial conditions) for exponents smaller than (-2). At the exponent value (-2) a transition occurs from one subregime to the other with varying acceleration strength. For a broad range of the acceleration parameters, the instability growth rate is explicitly found, the dependence of the dynamics on the initial conditions is investigated, and theory benchmarks are elaborated.
| Original language | English |
|---|---|
| Article number | 063905 |
| Number of pages | 18 |
| Journal | Physical Review Fluids |
| Volume | 4 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 21 Jun 2019 |
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Group theory analysis of early-time scale-dependent dynamics of the Rayleigh-Taylor instability with time varying acceleration. / Hill, Desmond L.; Bhowmick, Aklant K.; Ilyin, Dan; Abarzhi, Snezhana.
In: Physical Review Fluids, Vol. 4, No. 6, 063905, 21.06.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - Group theory analysis of early-time scale-dependent dynamics of the Rayleigh-Taylor instability with time varying acceleration
AU - Hill, Desmond L.
AU - Bhowmick, Aklant K.
AU - Ilyin, Dan
AU - Abarzhi, Snezhana
PY - 2019/6/21
Y1 - 2019/6/21
N2 - We consider the long-standing problem of Rayleigh-Taylor instability with variable acceleration, and focus on the early-time scale-dependent dynamics of an interface separating incompressible ideal fluids of different densities subject to an acceleration being a power-law function of time for a spatially extended three-dimensional flow periodic in the plane normal to the acceleration with symmetry group p6mm. By employing group theory and scaling analysis, we discover two distinct subregimes of the early-time dynamics depending on the exponent of the acceleration power-law. The time scale and the early-time dynamics are set by the acceleration for exponents greater than (-2), and by the initial growth-rate (due to, e.g., initial conditions) for exponents smaller than (-2). At the exponent value (-2) a transition occurs from one subregime to the other with varying acceleration strength. For a broad range of the acceleration parameters, the instability growth rate is explicitly found, the dependence of the dynamics on the initial conditions is investigated, and theory benchmarks are elaborated.
AB - We consider the long-standing problem of Rayleigh-Taylor instability with variable acceleration, and focus on the early-time scale-dependent dynamics of an interface separating incompressible ideal fluids of different densities subject to an acceleration being a power-law function of time for a spatially extended three-dimensional flow periodic in the plane normal to the acceleration with symmetry group p6mm. By employing group theory and scaling analysis, we discover two distinct subregimes of the early-time dynamics depending on the exponent of the acceleration power-law. The time scale and the early-time dynamics are set by the acceleration for exponents greater than (-2), and by the initial growth-rate (due to, e.g., initial conditions) for exponents smaller than (-2). At the exponent value (-2) a transition occurs from one subregime to the other with varying acceleration strength. For a broad range of the acceleration parameters, the instability growth rate is explicitly found, the dependence of the dynamics on the initial conditions is investigated, and theory benchmarks are elaborated.
KW - FLUID
KW - FLOWS
U2 - 10.1103/PhysRevFluids.4.063905
DO - 10.1103/PhysRevFluids.4.063905
M3 - Article
VL - 4
JO - Physical Review Fluids
JF - Physical Review Fluids
SN - 2469-990X
IS - 6
M1 - 063905
ER -