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2019 | OriginalPaper | Chapter

A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media

Authors : David Seus, Florin A. Radu, Christian Rohde

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017

Publisher: Springer International Publishing

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Abstract

This article is a follow up of our submitted paper (D. Seus et al, Comput Methods Appl Mech Eng 333:331–355, 2018) in which a decomposition of the Richards equation along two soil layers was discussed. A decomposed problem was formulated and a decoupling and linearisation technique was presented to solve the problem in each time step in a fixed point type iteration. This article extends these ideas to the case of two-phase in porous media and the convergence of the proposed domain decomposition method is rigorously shown.

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previous chapter Numerical Benchmarking for 3D Multiphase Flow: New Results for a Rising Bubble
next chapter A Numerical Method for an Inverse Problem Arising in Two-Phase Fluid Flow Transport Through a Homogeneous Porous Medium
Footnotes
1
Similar assumptions are used in the literature, cf. [10]. More recently, the case of Hölder continuity has been treated, see [12].
 
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Metadata
Title
A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media
Authors
David Seus
Florin A. Radu
Christian Rohde
Copyright Year
2019
Book
Numerical Mathematics and Advanced Applications ENUMATH 2017

Print ISBN: 978-3-319-96414-0

Electronic ISBN: 978-3-319-96415-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-96415-7_55

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