Journal of the Korean Society for Industrial and Applied Mathematics

  • 제16권4호
  • /
  • Pages.225-234
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  • 2012
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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HIGH-ORDER POTENTIAL FLOW MODELS FOR HYDRODYNAMIC UNSTABLE INTERFACE

  • Sohn, Sung-Ik (DEPARTMENT OF MATHEMATICS, GANGNEUNG-WONJU NATIONAL UNIVERSITY)
  • 투고 : 2012.04.30
  • 심사 : 2012.10.05
  • 발행 : 2012.12.25
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초록

We present two high-order potential flow models for the evolution of the interface in the Rayleigh-Taylor instability in two dimensions. One is the source-flow model and the other is the Layzer-type model which is based on an analytic potential. The late-time asymptotic solution of the source-flow model for arbitrary density jump is obtained. The asymptotic bubble curvature is found to be independent to the density jump of the fluids. We also give the time-evolution solutions of the two models by integrating equations numerically. We show that the two high-order models give more accurate solutions for the bubble evolution than their low-order models, but the solution of the source-flow model agrees much better with the numerical solution than the Layzer model.

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참고문헌

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피인용 문헌

  1. ASYMPTOTIC SOLUTIONS OF HYDRODYNAMIC INTERFACIAL INSTABILITIES IN CYLINDRICAL FLOW vol.20, pp.4, 2012, https://doi.org/10.7468/jksmeb.2013.20.4.259