Lagrange-flux Eulerian Schemes for Compressible Multimaterial Flows

This paper is devoted to the redesign of the Lagrangian remapping process for compressible Hydrodynamics in order to achieve better computational performance. As an unintended outcome, the analysis has lead us to the discovery of a new family of solvers – the so-called Lagrange-flux schemes – that appear to be very promising for the CFD community. Results obtained with the Lagrange-flux approach are comparable with those obtained with the “legacy” Lagrange-remap solver using staggered variables, but provide a far better scalable computational performance, as proven using performance modeling. We also extend Lagrangeflux scheme to the case of multimaterial flows involving interface capturing advection schemes.