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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

Type
Article accepté pour publication ou publié
Date
2014
Journal name
Mathematics and Computers in Simulation
Volume
99
Publisher
Elsevier
Pages
28-36
Publication identifier
Metadata
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Author(s)
Jaffré, Jérôme
Ben Gharbia, Ibtihel cc
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 / Keywords
Newton-min; Non-smooth function; Nonlinear complementarity problem; Nuclear waste underground storage; Dissolution; Two-phase flow; Porous media