Bound-preserving remapping of staggered quantities for multi-material ALE methods

In Arbitrary Lagrangian-Eulerian (ALE) methods, remap is one of the key steps necessary for conservative interpolation of all fluid quantities between the computational meshes. We are mostly interested in the remap in the case of multi-material simulations, allowing to contain multiple materials in each computational cell, preventing the quantities from excessive diffusion due to averaging of different materials. We present a remapping algorithm treating all fluid quantities consistently and in a bound-preserving manner in a flux form. Its features are demonstrated on selected multi-material static and hydrodynamic tests.