Building an Equilibrium Distribution for the Simulation of Coupled Rayleigh-Taylor and Self-Gravity Driven Interfacial Instabilities

Astronomy and Astrophysics – Astronomy

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Scientific paper

Hydrodynamical instabilities are key processes in the ISM. Interacting clouds and flows give rise to complex structures and may fuel star formation. Previously, we have examined the self-gravity driven interfacial instability (SGI), which acts upon a density interface, and contrasted its behavior to that of the Rayleigh-Taylor (RT) instability. We now continue our study by coupling the two instabilities. As a first step, we develop and test a solution to the equation of hydrostatic equilibrium when both self-gravity and a global, constant acceleration are present. The result is a pressure distribution with a non-zero gradient at the interface. We use numerical simulations to test the equilibrium solution and model the evolution of perturbed interfaces.

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