Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble

The Richtmyer-Meshkov (RM) instability has long been an interesting subject due to its fundamental significance in scientific research, as well as its crucial role in engineering applications. In this study, the contribution of shock Mach number on the evolution of the RM instability induced by a sh...

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Main Author: Singh, Satyvir
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/156104
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1561042023-02-28T20:03:41Z Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble Singh, Satyvir School of Physical and Mathematical Sciences Science::Physics Mach Number Shock Waves Fluid Dynamics The Richtmyer-Meshkov (RM) instability has long been an interesting subject due to its fundamental significance in scientific research, as well as its crucial role in engineering applications. In this study, the contribution of shock Mach number on the evolution of the RM instability induced by a shock-accelerated square light bubble is investigated numerically. The square bubble is composed of helium gas and the surrounding (ambient) gas is nitrogen. Three cases of incident shock strength are considered: Ms = 1.21, 1.7, and 2.1. An explicit mixed-type modal discontinuous Galerkin scheme with uniform meshes is employed to numerically solve a two-dimensional system of unsteady compressible Navier--Stokes- Fourier equations. The numerical results show that the shock Mach number plays an important role during the interaction between a planar shock wave and a square light bubble. The shock Mach number causes significant changes in flow morphology, resulting in complex wave patterns, vorticity generation, vortex formation, and bubble deformation. In contrast to low Mach numbers, high Mach numbers produce the larger rolled-up vortex chains, larger inward jet formation, and a stronger mixing zone with greater expansion. The effects of Mach numbers are explored in detail through phenomena such as the vorticity generation, and evolutions of enstrophy as well as dissipation rate. Finally, the Mach number effects on the time-variations of the shock trajectories and interface features are comprehensively analyzed. Nanyang Technological University Published version The author would like to acknowledge the financial support of the NAP-SUG grant program funded by the Nanyang Technological University, Singapore. 2022-04-06T01:30:42Z 2022-04-06T01:30:42Z 2021 Journal Article Singh, S. (2021). Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble. Physical Review Fluids, 6(10), 104001-. https://dx.doi.org/10.1103/PhysRevFluids.6.104001 2469-990X https://hdl.handle.net/10356/156104 10.1103/PhysRevFluids.6.104001 2-s2.0-85117237336 10 6 104001 en NAP, M408074 Physical Review Fluids © 2021 American Physical Society. All rights reserved. This paper was published in Physical Review Fluids and is made available with permission of American Physical Society. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Mach Number
Shock Waves
Fluid Dynamics
spellingShingle Science::Physics
Mach Number
Shock Waves
Fluid Dynamics
Singh, Satyvir
Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
description The Richtmyer-Meshkov (RM) instability has long been an interesting subject due to its fundamental significance in scientific research, as well as its crucial role in engineering applications. In this study, the contribution of shock Mach number on the evolution of the RM instability induced by a shock-accelerated square light bubble is investigated numerically. The square bubble is composed of helium gas and the surrounding (ambient) gas is nitrogen. Three cases of incident shock strength are considered: Ms = 1.21, 1.7, and 2.1. An explicit mixed-type modal discontinuous Galerkin scheme with uniform meshes is employed to numerically solve a two-dimensional system of unsteady compressible Navier--Stokes- Fourier equations. The numerical results show that the shock Mach number plays an important role during the interaction between a planar shock wave and a square light bubble. The shock Mach number causes significant changes in flow morphology, resulting in complex wave patterns, vorticity generation, vortex formation, and bubble deformation. In contrast to low Mach numbers, high Mach numbers produce the larger rolled-up vortex chains, larger inward jet formation, and a stronger mixing zone with greater expansion. The effects of Mach numbers are explored in detail through phenomena such as the vorticity generation, and evolutions of enstrophy as well as dissipation rate. Finally, the Mach number effects on the time-variations of the shock trajectories and interface features are comprehensively analyzed.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Singh, Satyvir
format Article
author Singh, Satyvir
author_sort Singh, Satyvir
title Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
title_short Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
title_full Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
title_fullStr Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
title_full_unstemmed Contribution of Mach number to the evolution of the Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble
title_sort contribution of mach number to the evolution of the richtmyer-meshkov instability induced by a shock-accelerated square light bubble
publishDate 2022
url https://hdl.handle.net/10356/156104
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