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ASYMPTOTIC SOLUTIONS OF HYDRODYNAMIC INTERFACIAL INSTABILITIES IN CYLINDRICAL FLOW

손성익
한국수학교육학회|2013.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제4호|pp. 259-267

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참고문헌

키워드

bubblehydrodynamic instabilitiespotential-flow modelasymptotic solution.
주제분류수학

초록

We present a high-order potential flow model for the motion of hy-drodynamic unstable interfaces in cylindrical geometry. The asymptotic solutions of the bubbles in the gravity-induced instability and the shock-induced instability are obtained from the high-order model. We show that the model gives significant high-order corrections for the solution of the bubble.

Abstract

We present a high-order potential flow model for the motion of hy-drodynamic unstable interfaces in cylindrical geometry. The asymptotic solutions of the bubbles in the gravity-induced instability and the shock-induced instability are obtained from the high-order model. We show that the model gives significant high-order corrections for the solution of the bubble.

참고문헌 (15)

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  9. 손성익, "High-resolution Vortex Simulations of the Richtmyer-Meshkov Instability", Journal of the Korean Physical Society, 60(7), pp.1037~1042 (2012), 한국물리학회
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  11. V.N. Goncharov, "Analytic model of nonlinear, single-mode, classical Rayleigh-Taylor instability at arbitrary Atwood numbers", Phys. Rev. Lett, 88, pp.134502~ (2002)
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  14. 손성익, "A high-order model for spike and bubble in impulsively accelerated interface", 한국수학논문집, 20(3), pp.323~331 (2012), 강원경기수학회
  15. 손성익, "HIGH-ORDER POTENTIAL FLOW MODELS FOR HYDRODYNAMIC UNSTABLE INTERFACE", Journal of the Korean Society for Industrial and Applied Mathematics, 16(4), pp.225~234 (2012), 한국산업응용수학회

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