Volume 11, Issue 3
A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

Jinxin Wu, Han Liu & Zuoli Xiao

Adv. Appl. Math. Mech., 11 (2019), pp. 583-597.

Published online: 2019-01

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  • Abstract

Richtmyer-Meshkov Instability (RMI) in a spherical geometry is studied via direct numerical simulation using a high-order three-dimensional in-house solver. Specifically, a six-order compact difference scheme coupled with localized artificial diffusivity method is adopted in order to capture discontinuities with high accuracy. A pure converging shock propagation in a sphere is simulated and the result agrees well with Guderley's theory. For RMI in a spherical geometry, the development of mixing width and its growth rate at different stages are examined and the underlying mechanism is also briefly analyzed. Particularly addressed is the effect of Mach number on the growth rate of perturbations and turbulent mixing process.

  • Keywords

Richtmyer-Meshkov instability, direct numerical simulation, spherical geometry, Mach number.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-583, author = {Wu , Jinxin and Liu , Han and Xiao , Zuoli}, title = {A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {583--597}, abstract = {

Richtmyer-Meshkov Instability (RMI) in a spherical geometry is studied via direct numerical simulation using a high-order three-dimensional in-house solver. Specifically, a six-order compact difference scheme coupled with localized artificial diffusivity method is adopted in order to capture discontinuities with high accuracy. A pure converging shock propagation in a sphere is simulated and the result agrees well with Guderley's theory. For RMI in a spherical geometry, the development of mixing width and its growth rate at different stages are examined and the underlying mechanism is also briefly analyzed. Particularly addressed is the effect of Mach number on the growth rate of perturbations and turbulent mixing process.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s03}, url = {http://global-sci.org/intro/article_detail/aamm/12982.html} }
TY - JOUR T1 - A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry AU - Wu , Jinxin AU - Liu , Han AU - Xiao , Zuoli JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 583 EP - 597 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s03 UR - https://global-sci.org/intro/article_detail/aamm/12982.html KW - Richtmyer-Meshkov instability, direct numerical simulation, spherical geometry, Mach number. AB -

Richtmyer-Meshkov Instability (RMI) in a spherical geometry is studied via direct numerical simulation using a high-order three-dimensional in-house solver. Specifically, a six-order compact difference scheme coupled with localized artificial diffusivity method is adopted in order to capture discontinuities with high accuracy. A pure converging shock propagation in a sphere is simulated and the result agrees well with Guderley's theory. For RMI in a spherical geometry, the development of mixing width and its growth rate at different stages are examined and the underlying mechanism is also briefly analyzed. Particularly addressed is the effect of Mach number on the growth rate of perturbations and turbulent mixing process.

Jinxin Wu, Han Liu & Zuoli Xiao. (2020). A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry. Advances in Applied Mathematics and Mechanics. 11 (3). 583-597. doi:10.4208/aamm.2018.s03
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