title: Richtmyer-Meshkov flow in elastic solids.
abstract: Richtmyer-Meshkov flow is studied by means of an analytical model which describes the asymptotic oscillations of a corrugated interface between two perfectly elastic solids after the interaction with a shock wave. The model shows that the flow stability is due to the restoring effect of the elastic force. It provides a simple approximate but still very accurate formula for the oscillation period. It also shows that as it is observed in numerical simulations, the amplitude oscillates around a mean value equal to the post-shock amplitude, and that this is a consequence of the stress free conditions of the material immediately after the shock interaction. Extensive numerical simulations are presented to validate the model results.
authors.affiliation: E.T.S.I. Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain. roberto.piriz@uclm.es
authors.forename: A R
authors.initials: AR
authors.lastname: Piriz
authors.forename: J J
authors.initials: JJ
authors.lastname: López Cela
authors.forename: N A
authors.initials: NA
authors.lastname: Tahir
authors.forename: D H H
authors.initials: DH
authors.lastname: Hoffmann