Surface waves in an incompressible fluid - Resonant instability due to velocity shear

Statistics – Computation

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Incompressible Fluids, Kelvin-Helmholtz Instability, Plasma Resonance, Solar Wind, Surface Waves, Computational Fluid Dynamics, Magnetohydrodynamic Waves, Magnetosheath, Solar Atmosphere

Scientific paper

The effects of velocity shear on the resonance absorption of incompressible MHD surface waves are studied. It is found that there are generally values of the velocity shear for which the surface wave decay rate becomes zero. In some cases, the resonance absorption goes to zero even for very small velocity shears. It is also found that the resonance absorption can be strongly enhanced at other values of the velocity shear, so the presence of flows may be generally important for determining the effects of resonance absorption, such as might occur in the interaction of p-modes with sunspots. Resonances leading to instability of the global surface mode can exist, and instability can occur for velocity shears significantly below the Kelvin-Helmholtz threshold. These instabilities may play a role in the development or turbulence in regions of strong velocity shear in the solar wind or the earth's magnetosphere.

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