Numerical simulation of the three-dimensional Rayleigh-Taylor instability

Hyun Geun Lee, Junseok Kim

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The Rayleigh-Taylor instability is a fundamental instability of an interface between two fluids of different densities, which occurs when the light fluid is pushing the heavy fluid. During the nonlinear stages, the growth of the Rayleigh-Taylor instability is greatly affected by three-dimensional effects. To investigate three-dimensional effects on the Rayleigh-Taylor instability, we introduce a new method of computation of the flow of two incompressible and immiscible fluids and implement a time-dependent pressure boundary condition that relates to a time-dependent density field at the domain boundary. Through numerical examples, we observe the two-layer roll-up phenomenon of the heavy fluid, which does not occur in the two-dimensional case. And by studying the positions of the bubble front, spike tip, and saddle point, we show that the three-dimensional Rayleigh-Taylor instability exhibits a stronger dependence on the density ratio than on the Reynolds number. Finally, we perform a long time three-dimensional simulation resulting in an equilibrium state.

Original languageEnglish
Pages (from-to)1466-1474
Number of pages9
JournalComputers and Mathematics with Applications
Volume66
Issue number8
DOIs
Publication statusPublished - 2013 Nov 1

Fingerprint

Rayleigh
Numerical Simulation
Three-dimensional
Fluids
Computer simulation
Fluid
Immiscible Fluids
Saddlepoint
Spike
Equilibrium State
Incompressible Fluid
Bubble
Reynolds number
Boundary conditions
Numerical Examples
Simulation

Keywords

  • Phase-field method
  • Projection method
  • Rayleigh-Taylor instability
  • Time-dependent pressure boundary condition

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Modelling and Simulation
  • Computational Mathematics

Cite this

Numerical simulation of the three-dimensional Rayleigh-Taylor instability. / Lee, Hyun Geun; Kim, Junseok.

In: Computers and Mathematics with Applications, Vol. 66, No. 8, 01.11.2013, p. 1466-1474.

Research output: Contribution to journalArticle

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