Rayleigh-Taylor stability in the presence of rotation

Computer Science – Numerical Analysis

Scientific paper

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Density (Mass/Volume), Incompressible Fluids, Rotating Fluids, Taylor Instability, Boundary Conditions, Numerical Analysis, Perturbation

Scientific paper

The stability of a slab of incompressible fluid with exponentially-increasing density, supported by a semi-infinite homogeneous region and supporting a semi-infinite region of exponentially-decreasing density has been investigated when the whole system rotates uniformly about a vertical axis. The familiar Reyleigh-Taylor stability problems are recovered from the general dispersion relation, both in the presence of rotation and in the absence of rotation.

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