[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12941/jksiam.2012.16.4.225

HIGH-ORDER POTENTIAL FLOW MODELS FOR HYDRODYNAMIC UNSTABLE INTERFACE

Sohn, Sung-Ik (DEPARTMENT OF MATHEMATICS, GANGNEUNG-WONJU NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.4, 2012 , pp. 225-234 More about this Journal

Abstract

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.

Keywords

Rayleigh-Taylor instability; potential-flow models; bubble evolution;

Citations & Related Records

Reference

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