Kelvin-Helmholtz instability simulation in the context of adaptive multiresolution analysis

This work is concerned with the numerical simulation of the Kelvin-Helmholtz instability using a two-dimensional ideal magnetohydrodynamics model in the context of adaptive multiresolution approach. The Kelvin-Helmholtz instabilities are caused by a velocity shear and normally expected in a layer between two fluids with different velocities. Due to its complexity, this kind of problem is a well-known test for numerical schemes and it is important for the verification of the developed code. The aim of this paper is to compare our solution with the solution of the well known astrophysics FLASH code to verify our code in respect to this reference.