NUMERICAL SIMULATION OF MIXING BY RAYLEIGH-TAYLOR INSTABILITY AND ITS FRACTAL STRUCTURES

Fractals ◽  
1996 ◽  
Vol 04 (03) ◽  
pp. 241-250 ◽  
Author(s):  
SUSUMU HASEGAWA ◽  
KATSUNOBU NISHIHARA ◽  
HITOSHI SAKAGAMI
Keyword(s):  
Numerical Simulation ◽  
Fractal Dimension ◽  
Fractal Dimensions ◽  
Flow Time ◽  
Taylor Instability ◽  
Singularity Spectrum ◽  
Fractal Structures ◽  
Multifractal Theory ◽  
Rayleigh Taylor Instability ◽  
Generalized Dimensions

Turbulent interface caused by the 2-dimensional Rayleigh-Taylor instability is investigated by direct numerical simulation. It is shown that the interface becomes fractal spontaneously in the case where there are initially multimode perturbations on the interface. The generalized dimensions and the singularity spectrum are obtained by applying the multifractal theory to the turbulent interface. The fractal dimension of the line interface is found to be 1.7–1.8, which is greater than that of turbulent/nonturbulent interface in a turbulent flow. Time evolution of the fractal dimensions of the interface is also investigated.

Numerical simulation of ablative Rayleigh–Taylor instability

1991 ◽  
Vol 3 (4) ◽  
pp. 1070-1074 ◽  
Author(s):  
John H. Gardner ◽  
Stephen E. Bodner ◽  
Jill P. Dahlburg
Keyword(s):  
Numerical Simulation ◽  
Taylor Instability ◽  
Rayleigh Taylor Instability

Numerical Simulation of Rayleigh–Taylor Instability by Multiphase MPS Method

2018 ◽  
Vol 16 (02) ◽  
pp. 1846005
Author(s):  
Xiao Wen ◽  
Decheng Wan
Keyword(s):  
Numerical Simulation ◽  
Hydrodynamic Instability ◽  
Phase Interface ◽  
Industrial Applications ◽  
Taylor Instability ◽  
Transitional Region ◽  
Two Phase ◽  
Mps Method ◽  
Evolutionary Features ◽  
Rayleigh Taylor Instability

The Rayleigh–Taylor instability (RTI) problem is one of the classic hydrodynamic instability cases in natural scenarios and industrial applications. For the numerical simulation of the RTI problem, this paper presents a multiphase method based on the moving particle semi-implicit (MPS) method. Herein, the incompressibility of the fluids is satisfied by solving a Poisson Pressure Equation (PPE) and the pressure fluctuation is suppressed. A single set of equations is utilized for fluids with different densities, making the method relatively simple. To deal with the mathematical discontinuity of density in the two-phase interface, a transitional region is introduced into this method. For particles in the transitional region, a density smoothing scheme is applied to improve the numerical stability. The simulation results show that the present MPS multiphase method is capable of capturing the evolutionary features of the RTI, even in the later stage when the two-phase interface is quite distorted. The unphysical penetration in the interface is limited, proving the stability and accuracy of the proposed method.

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