On the short-wave nature of Richtmyer-Meshkov instability. (English. Russian original) Zbl 1381.76315
Comput. Math. Math. Phys. 56, No. 6, 1075-1085 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 1093-1103 (2016).
Summary: 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.
MSC:
| 76N15 | Gas dynamics (general theory) |
| 76B47 | Vortex flows for incompressible inviscid fluids |
| 76E30 | Nonlinear effects in hydrodynamic stability |
Keywords:
Richtmyer-Meshkov instability; perturbation period; stability condition for the vortex strip in perfect fluidSoftware:
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