Gas phase appearance and disappearance as a problem with complementarity constraints
Jaffré, Jérôme; Ben Gharbia, Ibtihel (2014), Gas phase appearance and disappearance as a problem with complementarity constraints, Mathematics and Computers in Simulation, 99, p. 28-36. http://dx.doi.org/10.1016/j.matcom.2013.04.021
TypeArticle accepté pour publication ou publié
Journal nameMathematics and Computers in Simulation
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Abstract (EN)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.
Subjects / KeywordsNewton-min; Non-smooth function; Nonlinear complementarity problem; Nuclear waste underground storage; Dissolution; Two-phase flow; Porous media
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