“Woah! It's like Spotify but for academic articles.”

Instant Access to Thousands of Journals for just $40/month

Get 2 Weeks Free

Startup process in the Richtmyer–Meshkov instability

Startup process in the Richtmyer–Meshkov instability An analytical model for the initial growth period of the planar Richtmyer–Meshkov instability is presented for the case of a reflected shock, which corresponds in general to light-to-heavy interactions. The model captures the main features of the interfacial perturbation growth before the regime with linear growth in time is attained. The analysis provides a characteristic time scale τ τ for the startup phase of the instability, expressed explicitly as a function of the perturbation wavenumber k k , the algebraic transmitted and reflected shock speeds U S 1 <0 U S 1 < 0 and U S 2 >0 U S 2 > 0 (defined in the frame of the accelerated interface), and the postshock Atwood number A + A + : τ = (1− A + )/ U S 2 +(1+ A + )/(− U S 1 )/(2 k ) τ = ( 1 − A + ) ∕ U S 2 + ( 1 + A + ) ∕ ( − U S 1 ) ∕ ( 2 k ) . Results are compared with computations obtained from two-dimensional highly resolved numerical simulations over a wide range of incident shock strengths S S and preshock Atwood ratios A A . An interesting observation shows that, within this model, the amplitude of small perturbations across a light-to-heavy interface evolves quadratically in time (and not linearly) in the limit A →1 − A → 1 − . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physics of Fluids American Institute of Physics
Loading next page...

You're reading a free preview. Subscribe to read the entire article.

And millions more from thousands of peer-reviewed journals, for just $40/month

Get 2 Weeks Free

To be the best researcher, you need access to the best research

  • With DeepDyve, you can stop worrying about how much articles cost, or if it's too much hassle to order — it's all at your fingertips. Your research is important and deserves the top content.
  • Read from thousands of the leading scholarly journals from Springer, Elsevier, Nature, IEEE, Wiley-Blackwell and more.
  • All the latest content is available, no embargo periods.

Stop missing out on the latest updates in your field

  • We’ll send you automatic email updates on the keywords and journals you tell us are most important to you.
  • There is a lot of content out there, so we help you sift through it and stay organized.