NDLI: Simulation of single mode Rayleigh–Taylor instability by SPH method

Content Provider	Springer Nature Link
Author	Shadloo, M. S. Zainali, A. Yildiz, M.
Copyright Year	2012
Abstract	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.
Starting Page	699
Ending Page	715
Page Count	17
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	51
Issue Number	5
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-07-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Smoothed particle hydrodynamics (SPH) Mesh free method Projection method Multi-phase flow Interfacial flow Rayleigh–Taylor instability (RTI) Theoretical and Applied Mechanics Computational Science and Engineering Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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