A new method to introduce constraints in cell-centered Lagrangian schemes

Guillaume Clair (1) , Bruno Després (2) , Emmanuel Labourasse (1)

1 DSSI - Département des Sciences de la Simulation et de l'Information
2 LJLL - Laboratoire Jacques-Louis Lions

We describe a new method to introduce constraints in cell-centered Lagrangian schemes in the framework of compressible hydrodynamics. In this paper we apply it to the modeling of contact and sliding on solid wall boundaries. We illustrate our method, which is based on the minimization of a specific objective function, by several basic problems.

Mots clés: Lagrangian Hydrodynamic; Compressible Gas dynamics; Constraints; Minimization method

Domaines: Analyse numérique [math.NA]

Guillaume Clair, Bruno Després, Emmanuel Labourasse. A new method to introduce constraints in cell-centered Lagrangian schemes. Computer Methods in Applied Mechanics and Engineering, 2013, 261/262, pp.56-65. ⟨hal-00789201⟩