A multimaterial extension to subzonal reconstruction

We present a new algorithm for reconstructing material-dependent subzonal information based on staggered primary/dual-mesh remapping of material-dependent conserved quantities. The algorithm is appropriate in the context of geometric, intersection-based overlay remapping methods, with specific application to staggered, total energy conserving, multi-material Lagrangian hydrodynamics schemes that discretize material masses on subzonal mesh elements. Our new approach avoids direct remapping of material-dependent subzonal variables; instead, the spatial profile of each variable is reconstructed using a combination of material-dependent zone (primary mesh) information, material-independent node (dual mesh) information, and discrete interface-reconstructed material concentration information. Conservation and convergence properties of the new algorithm are established through several challenging multi-material remapping and hydrodynamics tests.