Gas phase appearance and disappearance as a problem with complementarity constraints
For geoscientists modeling hydrogen migration in nuclear waste storage, this work shows the applicability of a modern solution strategy, though it is an incremental application of an existing method to a specific domain problem.
The paper applies the Newton-min method to solve nonlinear complementarity constraints arising from hydrogen migration modeling in nuclear waste storage, demonstrating quadratic convergence through numerical experiments.
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.