Simulation of single mode Rayleigh-Taylor instability by SPH method

Safdari Shadloo, Mostafa and Zainali, Amir and Yıldız, Mehmet (2013) Simulation of single mode Rayleigh-Taylor instability by SPH method. Computational Mechanics, 51 (5). pp. 699-715. ISSN 0178-7675 (Print) 1432-0924 (Online)

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Official URL: http://dx.doi.org/10.1007/s00466-012-0746-2


A smoothed particle hydrodynamics (SPH) solution to the Rayleigh-Taylor instability (RTI) problem in an incompressible viscous two-phase immiscible fluid with surface tension is presented. The present model is validated by solving Laplace's law, and square bubble deformation without surface tension whereby it is shown that the implemented SPH discretization does not produce any artificial surface tension. To further validate the numerical model for the RTI problem, results are quantitatively compared with analytical solutions in a linear regime. It is found that the SPH method slightly overestimates the border of instability. The long time evolution of simulations is presented for investigating changes in the topology of rising bubbles and falling spike in RTI, and the computed Froude numbers are compared with previous works. It is shown that the numerical algorithm used in this work is capable of capturing the interface evolution and growth rate in RTI accurately.

Item Type:Article
Uncontrolled Keywords:Smoothed particle hydrodynamics (SPH); Mesh free method; Projection method; Multi-phase flow; Interfacial flow; Rayleigh-Taylor instability (RTI)
ID Code:29174
Deposited By:Mehmet Yıldız
Deposited On:01 Mar 2016 11:20
Last Modified:01 Mar 2016 11:26

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