Gas phase appearance and disappearance as a problem with complementarity constraints

Ibtihel Ben Gharbia (1) , Jérôme Jaffré (1)

1 POMDAPI - Environmental Modeling, Optimization and Programming Models

The modeling of migration of hydrogen produced by the corrosion of the nuclear waste packages in an underground storage including the dissolution of hydrogen involves a set of nonlinear partial differential equations with nonlinear complementarity constraints. This article shows how to apply a modern and efficient solution strategy, the Newton-min method, to this geoscience problem and investigates its applicability and efficiency. In particular, numerical experiments show that the Newton-min method is quadratically convergent for this problem.

Mots clés: Porous media; two-phase flow; dissolution; nuclear waste underground storage; nonlinear complementarity problem; non-smooth function; Newton-min

Domaines: Modélisation et simulation; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Sciences de l'environnement

Ibtihel Ben Gharbia, Jérôme Jaffré. Gas phase appearance and disappearance as a problem with complementarity constraints. Mathematics and Computers in Simulation, 2013, ⟨10.1016/j.matcom.2013.04.021⟩. ⟨hal-00641621v2⟩