A new nodal solver for the two dimensional Lagrangian hydrodynamics

We describe a cell-centered Godunov type scheme for the Lagrangian hydrodynamic equations on general unstructured meshes with nodal fluxes. The nodal solver only depends on the angular repartition of the physical variables around the node and not on the length of the edges. The scheme verifies a weak consistency property. Numerical results are compared to EUCCLHYD and GLACE schemes which are also cell-centered schemes with node based fluxes for Lagrangian hydrodynamics.