Python']Python framework for hp-adaptive discontinuous Galerkin methods for two-phase flow in porous media

被引：9

作者：

Dedner, Andreas ^{[1
]}

Kane, Birane ^{[2
]}

Klofkorn, Robert ^{[3
]}

Nolte, Martin ^{[4
]}

机构：

[1] Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England

[2] Univ Stuttgart, Inst Appl Anal & Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

[3] Int Res Inst Stavanger, POB 8046, N-4068 Stavanger, Norway

[4] Albert Ludwigs Univ Freiburg, Dept Appl Math, Hermann Herder Str 10, D-79104 Freiburg, Germany

来源：

APPLIED MATHEMATICAL MODELLING | 2019年 / 67卷

关键词：

Discontinuous Galerkin; hp-adaptivity; Porous media two-phase flow; IMPES; Dune; !text type='Python']Python[!/text; POSTERIORI ERROR ESTIMATION; LINEARIZATION SCHEME; DISCRETIZATIONS; PARALLEL;

D O I：

10.1016/j.apm.2018.10.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we present a framework for solving two-phase flow problems in porous media. The discretization is based on a Discontinuous Galerkin method and includes local grid adaptivity and local choice of polynomial degree. The method is implemented using the new Python frontend Dune-FemPy to the open source framework Dune. The code used for the simulations is made available as Jupyter notebook and can be used through a Docker container. We present a number of time stepping approaches ranging from a classical IMPES method to a fully coupled implicit scheme. The implementation of the discretization is very flexible allowing to test different formulations of the two-phase flow model and adaptation strategies. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：179 / 200

页数：22

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