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Published January 10, 2010 | Published
Journal Article Open

Shock-resolved Navier–Stokes simulation of the Richtmyer–Meshkov instability start-up at a light–heavy interface


The single-mode Richtmyer–Meshkov instability is investigated using a first-order perturbation of the two-dimensional Navier–Stokes equations about a one-dimensional unsteady shock-resolved base flow. A feature-tracking local refinement scheme is used to fully resolve the viscous internal structure of the shock. This method captures perturbations on the shocks and their influence on the interface growth throughout the simulation, to accurately examine the start-up and early linear growth phases of the instability. Results are compared to analytic models of the instability, showing some agreement with predicted asymptotic growth rates towards the inviscid limit, but significant discrepancies are noted in the transient growth phase. Viscous effects are found to be inadequately predicted by existing models.

Additional Information

© 2009 Cambridge University Press. Received 22 April 2009; revised 28 August 2009; accepted 29 August 2009; first published online 9 December 2009. This work was supported by the ASC programme of the Department of Energy under subcontract number B341492 of DOE contract W-7405-ENG-48. The authors would like to thank Gustavo Wouchuk for his valuable assistance for providing details of his model.

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