Shock-resolved NavierStokes simulation of the RichtmyerMeshkov instability start-up at a lightheavy interface

R. M.J. Kramer, D. I. Pullin, D. I. Meiron, C. Pantano

Research output: Contribution to journalArticlepeer-review

Abstract

The single-mode RichtmyerMeshkov instability is investigated using a first-order perturbation of the two-dimensional NavierStokes 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.

Original languageEnglish (US)
Pages (from-to)421-443
Number of pages23
JournalJournal of Fluid Mechanics
Volume642
DOIs
StatePublished - Jan 2010

Keywords

  • Computational methods
  • Nonlinear
  • Shock waves

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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