Monotone embedded discrete fractures method for flows in porous media

We propose a new method for modeling of flows in fractured media which preserves non-negativity of the solution or satisfies the discrete maximum principle. The method consists in coupling of the embedded discrete fracture method (EDFM) with two nonlinear schemes: monotone two-point flux approximati...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 364; p. 112353
Main Authors Nikitin, Kirill D., Yanbarisov, Ruslan M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.01.2020
Subjects
Embedded discrete fracture model
Flow in porous media
Fracture modeling
Fractured reservoirs
Nonlinear finite volume schemes
Flow in porous media
Nonlinear finite volume schemes
Fractured reservoirs
Embedded discrete fracture model
Fracture modeling
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Summary:We propose a new method for modeling of flows in fractured media which preserves non-negativity of the solution or satisfies the discrete maximum principle. The method consists in coupling of the embedded discrete fracture method (EDFM) with two nonlinear schemes: monotone two-point flux approximation and compact multi-point flux approximation with the discrete maximum principle. The resulting monotone EDFM (mEDFM) combines effectiveness and simplicity of standard EDFM approach with accuracy and physical relevance of the nonlinear FV schemes on non-orthogonal grids and anisotropic media.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2019.112353