Numerical Investigation on Eccentricity Effect in Richtmyer-Meshkov Instability Induced by Converging Shock Wave

Abstract

Abstract: Development of Richtmyer-Meshkov instability induced by a converging shock wave and its reflected shock from converging center is numerically investigated in which emphasis is on eccentricity effect. VAS2D uses finite volume method which has a secondorder precision in both temporal and spatial scales. Four types of 2-dimensional SF₆ column (circle, small-amplitude single-mode, large-amplitude single mode and square) surrounded by air are adopted. Interface morphologies show that development of RM instability in eccentric case results from perturbation growth in concentric case combined with little perturbation growth caused by eccentricity. For interface without initial perturbation, eccentricity results in appearance of tiny perturbation structures. For interfaces with initial perturbation, eccentricity makes perturbation structures asymmetric and distorted. Meanwhile, eccentricity affects pressure of interface center and area of mixed zone, which are closely related to development of RM instability.

Key words: Richtmyer-Meshkov instability, gas column, eccentricity, vorticity

CLC Number:

O534

HE Huiqin, ZHAI Zhigang, SI Ting, LUO Xisheng. Numerical Investigation on Eccentricity Effect in Richtmyer-Meshkov Instability Induced by Converging Shock Wave[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(1): 66-74.

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