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A global Jacobian method for mortar discretizations of a fully implicit two-phase flow model
Univ Texas Austin, ICES, Austin, TX 78712 USA..
Univ Texas Austin, ICES, Austin, TX 78712 USA..
Univ Texas Austin, ICES, Austin, TX 78712 USA..
Univ Texas Austin, ICES, Austin, TX 78712 USA..
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2014 (English)In: Multiscale Modeling & simulation, ISSN 1540-3459, E-ISSN 1540-3467, Vol. 12, no 4, p. 1401-1423Article in journal (Refereed) Published
Abstract [en]

We consider a fully implicit formulation for two-phase flow in a porous medium with capillarity, gravity, and compressibility in three dimensions. The method is implicit in time and uses the multiscale mortar mixed finite element method for a spatial discretization in a nonoverlapping domain decomposition context. The interface conditions between subdomains are enforced in terms of Lagrange multiplier variables defined on a mortar space. The novel approach in this work is to linearize the coupled system of subdomain and mortar variables simultaneously to form a global Jacobian. This algorithm is shown to be more efficient and robust compared to previous algorithms that relied on two separate nested linearizations of subdomain and interface variables. We also examine various upwinding methods for accurate integration of phase mobility terms near subdomain interfaces. Numerical tests illustrate the computational benefits of this scheme.

Place, publisher, year, edition, pages
SIAM Publications , 2014. Vol. 12, no 4, p. 1401-1423
Keywords [en]
global linearization, two-phase flow, porous media flow, nonoverlapping domain decomposition, multiscale method, mortar finite element, mixed finite element
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-69260DOI: 10.1137/140952922ISI: 000346847300001OAI: oai:DiVA.org:kau-69260DiVA, id: diva2:1255370
Available from: 2018-10-12 Created: 2018-10-12 Last updated: 2018-10-18Bibliographically approved

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Kumar, Kundan

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  • nn-NB
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