Resonant Kelvin-Helmholtz modes in sheared relativistic flows

Computer Science – Numerical Analysis

Scientific paper

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Astrophysical Jets, Galaxies, Flow Instability, Numerical Analysis, Jets And Bursts, Galactic Winds And Fountains, Hydrodynamics

Scientific paper

We announce the discovery of a new kind of high-order resonant Kelvin-Helmholtz modes acting on relativistic sheared flows which have the largest linear growth rates and crucially dominate the global stability properties of the flow in the non-linear regime. These modes were overlooked by previous studies that focused on non-relativistic relative flow speeds, infinitely thin transition layers, or very-low-order perturbation modes. The new modes grow up very fast in the linear regime, form small-scale shock fronts and then dissipate forming a relativistically hot sheath surrounding the jet core. The modification of the background flow by these modes leads to the stabilization of other disruptive modes of Kelvin-Helmholtz instability. Numerical simulations show that high Lorentz-factor jets developing these modes are exceptionally stable in the non-linear regime. The potential connection of the development of these stabilizing modes in relativistic jets with the FRI/FRII morphological dichotomy of extragalactic radio sources is suggested.

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