Gas phase appearance and disappearance as a problem with complementarity constraints

Ibtihel Ben Gharbia and Jérôme Jaffré

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 99, issue C, 28-36

Abstract: 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.

Keywords: Porous media; Two-phase flow; Nuclear waste underground storage; Nonlinear complementarity problem; Newton-min (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:99:y:2014:i:c:p:28-36

DOI: 10.1016/j.matcom.2013.04.021

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