Application of the continuum surface force model to the Rayleigh - Taylor instability problem

S. N. Yakovenko, Keh-Chin Chang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The surface tension effect is introduced according to the continuum model for the surface tension force. A smooth variation of the mollified function of the volume fraction (the color function) across the interface between immiscible fluids occurs due to the convolution of the original color function with the smooth kernel function. The polynomial eighth-degree kernel formulated for plane two-dimensional flows bounded by solid walls or symmetry planes is tested for the Rayleigh - Taylor instability problem.

Original languageEnglish
Pages (from-to)433-445
Number of pages13
JournalThermophysics and Aeromechanics
Volume18
Issue number3
DOIs
Publication statusPublished - 2011 Sep 1

Fingerprint

Taylor instability
continuums
interfacial tension
color
kernel functions
two dimensional flow
convolution integrals
polynomials
fluids
symmetry

All Science Journal Classification (ASJC) codes

  • Radiation
  • Nuclear and High Energy Physics

Cite this

@article{5b7eeac39056449389ee230f921cade2,
title = "Application of the continuum surface force model to the Rayleigh - Taylor instability problem",
abstract = "The surface tension effect is introduced according to the continuum model for the surface tension force. A smooth variation of the mollified function of the volume fraction (the color function) across the interface between immiscible fluids occurs due to the convolution of the original color function with the smooth kernel function. The polynomial eighth-degree kernel formulated for plane two-dimensional flows bounded by solid walls or symmetry planes is tested for the Rayleigh - Taylor instability problem.",
author = "Yakovenko, {S. N.} and Keh-Chin Chang",
year = "2011",
month = "9",
day = "1",
doi = "10.1134/S0869864311030085",
language = "English",
volume = "18",
pages = "433--445",
journal = "Thermophysics and Aeromechanics",
issn = "0869-8643",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

Application of the continuum surface force model to the Rayleigh - Taylor instability problem. / Yakovenko, S. N.; Chang, Keh-Chin.

In: Thermophysics and Aeromechanics, Vol. 18, No. 3, 01.09.2011, p. 433-445.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Application of the continuum surface force model to the Rayleigh - Taylor instability problem

AU - Yakovenko, S. N.

AU - Chang, Keh-Chin

PY - 2011/9/1

Y1 - 2011/9/1

N2 - The surface tension effect is introduced according to the continuum model for the surface tension force. A smooth variation of the mollified function of the volume fraction (the color function) across the interface between immiscible fluids occurs due to the convolution of the original color function with the smooth kernel function. The polynomial eighth-degree kernel formulated for plane two-dimensional flows bounded by solid walls or symmetry planes is tested for the Rayleigh - Taylor instability problem.

AB - The surface tension effect is introduced according to the continuum model for the surface tension force. A smooth variation of the mollified function of the volume fraction (the color function) across the interface between immiscible fluids occurs due to the convolution of the original color function with the smooth kernel function. The polynomial eighth-degree kernel formulated for plane two-dimensional flows bounded by solid walls or symmetry planes is tested for the Rayleigh - Taylor instability problem.

UR - http://www.scopus.com/inward/record.url?scp=84856756975&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856756975&partnerID=8YFLogxK

U2 - 10.1134/S0869864311030085

DO - 10.1134/S0869864311030085

M3 - Article

VL - 18

SP - 433

EP - 445

JO - Thermophysics and Aeromechanics

JF - Thermophysics and Aeromechanics

SN - 0869-8643

IS - 3

ER -