Monotone embedded discrete fractures method for flows in porous media

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:364

Article

Nikitin, Kirill D.¹  Yanbarisov, Ruslan M.¹ 

[1] Russian Acad Sci, Marchuk Inst Numer Math, Moscow, Russia

关键词: Fracture modeling;    Embedded discrete fracture model;    Fractured reservoirs;    Flow in porous media;    Nonlinear finite volume schemes;   

DOI  :  10.1016/j.cam.2019.112353

来源: Elsevier

【 摘 要 】

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. (C) 2019 Published by Elsevier B.V.

【 授权许可】

Free