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Convergence analysis of a characteristics-based hybrid method for multicomponent transport in porous media. (arXiv:1707.00035v1 [math.NA])
来源于:arXiv
In this paper, convergence of a characteristics-based hybrid method recently
introduced in Daripa & Dutta (J. Comput. Phys., 335:249-282, 2017) has been
proved. This method which combines a discontinuous finite element method and a
modified method of characteristics (MMOC) has been successfully applied to
solve a coupled, nonlinear system of elliptic and transport equations that
arise in multicomponent two-phase porous media flows. The novelty in this paper
is the convergence analysis of the MMOC procedure for a nonlinear system of
transport equations. For this purpose, an analogous single-component system of
transport equations has been considered and possible extension to
multicomponent systems has been discussed. Error estimates have been obtained
and these estimates have also been validated by realistic numerical simulations
of flows arising in enhanced oil recovery processes. 查看全文>>