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- Title
Nonlinear analytic growth rate of a single-mode RichtmyerMeshkov instability.
- Authors
M. VANDENBOOMGAERDE
- 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.
- Subjects
QUANTUM perturbations; QUANTUM theory; INTERFACES (Physical sciences); SURFACES (Physics); MATHEMATICAL functions
- Publication
Laser & Particle Beams, 2003, Vol 21, Issue 3, p317
- ISSN
0263-0346
- Publication type
Article
- DOI
10.1017/s0263034603213045