Three-dimensional instability of elliptical flow
摘要：
A clarification of the physical and mathematical nature of Pierrhumbert's (1986) three-dimensional short-wave inviscid instability of simple two-dimensional elliptical flow is presented. The instabilities found are independent of length scale, extending Pierrhumbert's conclusion that the structures of the instabilities are independent of length scale in the limit of large wave number. The fundamental modes are exact solutions of the nonlinear equations, and they are plane waves whose wave vector rotates elliptically around the z axis with a period of 2(pi)/Omega. The growth rates are shown to be the exponents of a matrix Floquet problem, and good agreement is found with previous results.
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关键词：
Theoretical or Mathematical/ flow instability turbulence/ three dimensional instability elliptical flow short-wave inviscid instability two-dimensional fundamental modes nonlinear equations plane waves growth rates matrix Floquet problem/ A0340G Fluid dynamics: general mathematical aspects A4720 Hydrodynamic stability and instability A4725 Turbulent flows, convection, and heat transfer
DOI：
10.1103/PhysRevLett.57.2160
被引量：
年份：
1986
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