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In a previous paper, we have achieved the performance analysis of staggeredLagrange-remap schemes, a class of solvers widely used for Hydrodynamicsapplications. This paper is devoted to the rethinking and redesign of theLagrange-remap process for achieving better performance using today's computingarchitectures. As an unintended outcome, the analysis has lead us to thediscovery of a new family of solvers -- the so-called Lagrange-flux schemes --that appear to be promising for the CFD community.

Lagrange-flux schemes: reformulating second-order accurate Lagrange-remap schemes for better node-based HPC performance