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This article is cited in 1 scientific paper (total in 1 paper)
On the short-wave nature of Richtmyer–Meshkov instability
M. S. Belotserkovskaya, O. M. Belotserkovskii, V. V. Denisenko, I. V. Eriklintsev, S. A. Kozlov, E. I. Oparina, O. V. Troshkin Institute for Computer Aided Design of RAS, Moscow
Abstract:
In the case of a variable period (wavelength) of a perturbed interface, the instability and stability of Richtmyer–Meshkov vortices in perfect gas and incompressible perfect fluid, respectively, are investigated numerically and analytically. Taking into account available experiments, the instability of the interface between the argon and xenon in the case of a relatively small period is modeled. An estimate of the magnitude of the critical period is given. The nonlinear (for arbitrary initial conditions) stability of the corresponding steady-state vortex flow of perfect fluid in a strip (vertical periodic channel) in the case of a fairly large period is shown.
Key words:
Richtmyer–Meshkov instability, perturbation period, stability condition for the vortex strip in perfect fluid.
Received: 09.11.2015
Citation:
M. S. Belotserkovskaya, O. M. Belotserkovskii, V. V. Denisenko, I. V. Eriklintsev, S. A. Kozlov, E. I. Oparina, O. V. Troshkin, “On the short-wave nature of Richtmyer–Meshkov instability”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1093–1103; Comput. Math. Math. Phys., 56:6 (2016), 1075–1085
Linking options:
https://www.mathnet.ru/eng/zvmmf10402 https://www.mathnet.ru/eng/zvmmf/v56/i6/p1093
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