Triangular Metric-Based Mesh Adaptation for Compressible Multi-Material Flows in Semi-Lagrangian Coordinates

Lagrangian formulation is a powerful tool to compute compressible multi-material flows. Indeed, contact discontinuities are automatically preserved by construction which avoids usage of mixing models. Also, convection terms being treated through mesh motion, Lagrangian methods are usually more precise than their Eulerian counterparts: lesser terms having to be discretized. However, Lagrangian methods fail to calculate vortexes or shears: the mesh following the flow might become too distorted to pursue calculation after some time.