Dune-FemPy swMATH ID: 39743 Software Authors: Dedner, Andreas; Kane, Birane; Klöfkorn, Robert; Nolte, Martin Description: Python framework for hp-adaptive discontinuous Galerkin methods for two-phase flow in porous media. 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 exttt{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. Homepage: https://www.dune-project.org/modules/dune-fempy/ Source Code: https://github.com/adedner/dune-fempy Dependencies: Python Keywords: discontinuous Galerkin; hp-adaptivity; porous media two-phase flow; impes; dune; Python Related Software: Python; DUNE-FEM-DG; DUNE-FEM; DUNE; UFL; FEniCS; Firedrake; Feel++; SyFi; PETSc; deal.ii; GitHub; DUNE-ALUGrid; ALUGrid; Assimulo; CLAWPACK; SciPy; Kaskade7; FoamGrid; Curvilinear Grid Cited in: 5 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Python framework for \(hp\)-adaptive discontinuous Galerkin methods for two-phase flow in porous media. Zbl 1481.65180Dedner, Andreas; Kane, Birane; Klöfkorn, Robert; Nolte, Martin 2019 all top 5 Cited by 19 Authors 4 Dedner, Andreas S. 4 Klöfkorn, Robert 1 Bastian, Peter 1 Blatt, Markus 1 Chudoba, Rostislav 1 Dreier, Nils-Arne 1 Engwer, Christian 1 Fritze, René 1 Gräser, Carsten 1 Grüninger, Christoph 1 Kane, Birane 1 Kempf, Dominic 1 Li, Yingxiong 1 Nolte, Martin 1 Ohlberger, Mario 1 Rypl, Rostislav 1 Sander, Oliver 1 Spartali, Homam 1 Vořechovský, Miroslav Cited in 3 Serials 2 Applied Mathematical Modelling 1 Computers & Mathematics with Applications 1 Communications on Applied Mathematics and Computation Cited in 4 Fields 4 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year