High-accurate and robust conservative remapping combining polynomial and hyperbolic tangent reconstructions

•Remap in indirect Arbitrary Lagrangian-Eulerian methods diffuses shocks and contacts.•Enhancing quantity profiles by mixing polynomial and non-polynomial reconstructions.•Hyperbolic tangent reconstruction improves contact discontinuities significantly.•Application in the framework of cell-centered ALE scheme.•Demonstration of dramatic improvement in 1D hydrodynamic simulations.