Section: New Results

3D matrix-free ${𝐏}^1$-exact conservative interpolation

Participants : F. Alauzet [correspondant]

The interpolation stage is a crucial step for time-dependent mesh adaptive simulations. Indeed, if the accuracy of the solution is spoiled during this stage then it is lost for ever. In the past, we have demonstrated the superiority of conservative interpolation for 2D compressible flow simulations. Here, we develop the 3D extension of the method on tetrahedral meshes. The same conclusion arose. The main difficulty was to design a fast, accurate and robust mesh intersection algorithm.