Application of Perturbation Method in Investigating the Interaction of thin Shock with Turbulence

Astronomy and Astrophysics – Astrophysics

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Solar Wind Plasma, Sources Of Solar Wind, Plasma Turbulence, Shock Waves And Discontinuities, Perturbative Methods

Scientific paper

A 2D hydrodynamical model describing the interaction of thin shock with turbulence is developed by adopting a multi-scale perturbation analysis. This is extended to a 2D MHD model. The interaction is found to be governed by a two-dimentional Burger's equation involving ``perturbation terms''. Different perturbation profiles are tested with numerical simulations to show how the shock front is modified by turbulence. The results indicate that while turbulence can balance the nonlinear steepening of shock waves at some regions, it also helps to create a higher jump in physical quantities at other regions. The plasma medium in these regions can therefore experience higher compression, which will result in a downstream state that differs from the usual Rankine-Hugoniot state.

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