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Nonlinear analytic growth rate of a single-mode Richtmyer–Meshkov instability

Published online by Cambridge University Press:  03 March 2004

M. VANDENBOOMGAERDE
M. VANDENBOOMGAERDE
Affiliation:
Commissariat à l'Energie Atomique, Bruyères-Le-Châtel, France
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Abstract

A perturbation method in which only the most secular terms are retained gives simple results for the weakly nonlinear growth of a single-mode shock-accelerated interface (Vandenboomgaerde et al., 2002). This result can be written as a series in integer powers of time. It can be considered as the Taylor expansion of an analytic function. We believe that an approximation of such a function has been identified; it described the evolution of the instability from linear to intermediate nonlinear regime. Furthermore, this function has no singularity. The relevance of this analytic formula is checked against two-dimensional simulations and experimental data.

Keywords

InstabilityNonlinearRichtmyer–MeshkovTheory
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 317 - 319
Copyright
© 2003 Cambridge University Press

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References

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