Richtmyer-Meshkov

The macroscopic desaiption has been impressively successful in a number of areas, such as fluid mechanics, for studying complex flows and fluid instabilities, including the Rayleigh-Taylor, Kelvin-Helmholz, and Richtmyer-Meshkov instabilities. But it becomes inaccurate for problems in which the detailed atomistic processes affect the macroscopic behavior of the medium, or when the scale of the medium is small enough that the continuum approximation becomes questionable. Such situations are often found in studies of properties and defects of micro- or nanosystems where the continuum methods can describe only qualitative tendencies, the quality of quantitative results may be difficult to ascertain. Also, the approach has limited applicability since it does not incorporate molecular-scale enthalpic interactions between different species present in the system and requires input (viscosities. 

Some of the remarkable advances in fluid physics using the SAGE code have been the modeling of Richtmyer-Meshkov and shock induced instabilities described in references 4 and 5. 

R. L. Holmes, G. Dimonte, B. Fryxell, M. L. Gittings, J. W. Grove, M. Schneider, D. H. Sharp, A. L. Velikovich, R. P. Weaver and Q. Zhang, Richtmyer-Meshkov Instability Growth Experiment, Simulation and Theory , Journal of Fluid Mechanics 9, 55-79 (1999). 

---