Sentence examples for most unstable mode from inspiring English sources

The absence of the long-wave solution means that there is an optimal wavenumber, k ∼ O S2), at which the most unstable mode grows.

In this case, the most unstable mode exhibits an antisymmetric (flexural) deformation that propagates against the flow direction at the speed of an elastic Rayleigh wave.

The dominant decomposition mode is described in terms of a stability map, which defines regions of the fastest growing composition modulation in a space of particle radius and km, where km is the most unstable mode in the bulk system.

Because the azimuthal wavelength of the most unstable mode is typically on the order of ion gyroradii, k ϕ ρ i~1, where k ϕ = M/R is the azimuthal wave number, M is the azimuthal mode number and ρ i is the ion gyroradius.

The GYSELA code is found to be stable over long simulation times (more than 20 times the linear growth rate of the most unstable mode), including for cases with a high resolution mesh (δr ∼ 0.1 Larmor radius, δz ∼ 10 Larmor radius).

We show in Fig. 1 d) the wave-length of the most unstable mode, lc, when η and ν are varied in the shaded region of Fig. 1(c).

The group velocity of the most unstable modes compares well to the advection velocity of spanwise vorticity measured in DNS.

The kinetic ballooning instability calculations have shown that the most unstable modes occur in the strong cross-tail current region that maps to the ionosphere to form a substorm auroral arc formation similar to the ideal MHD calculation results (Cheng and Zaharia 2004).

Thus the most unstable model is chosen as (hat{k}_{c}^{2}=1.25), which falls within the band of the unstable modes.

The most unstable global mode calculated with the discrete-adjoint has exactly the same eigenvalue as the corresponding direct global mode but contains numerical artifacts near the inlet.

The most unstable global mode calculated with the continuous-adjoint has no numerical artifacts but a slightly different eigenvalue.