Korean J. Math. Vol. 20 No. 3 (2012) pp.323-331
DOI: https://doi.org/10.11568/kjm.2012.20.3.323

A HIGH-ORDER MODEL FOR SPIKE AND BUBBLE IN IMPULSIVELY ACCELERATED INTERFACE

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Sung-Ik Sohn

Abstract

We present a high-order potential flow model for the motion of the impulsively accelerated unstable interface of infinite density jump. The Layzer model for the evolution of the interface is extended to high-order. The time-evolution solutions of the bub- ble and the spike in the interface are obtained from the high-order model. We show that the high-order model gives improvement on the prediction of the evolution of the bubble and the spike.



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