11 papers
Perspectives on Sustainable Computational Science and Engineering
Julia Kowalski, Ann S. Almgren, Achim Basermann +43
Computational Science and Engineering (CSE) combines expertise at the intersection of engineering, applied mathematics, and computer science to form powerful methods for model-base…
A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
Jimmy Kornelije Gunnarsson, Robert Klöfkorn
We propose a structure-preserving discontinuous Galerkin scheme for the Cahn--Hilliard equations with degenerate mobility based on the Symmetric Weighted Interior Penalty formulati…
Comparison of Structure Preserving Schemes for the Cahn-Hilliard-Navier-Stokes Equations with Degenerate Mobility and Adaptive Mesh Refinement
Jimmy Kornelije Gunnarsson, Robert Klöfkorn
The Cahn-Hilliard-Navier-Stokes (CHNS) system utilizes a diffusive phase-field for interface tracking of multi-phase fluid flows. Recently structure preserving methods for CHNS hav…
Bryne: sustainable prototyping of finite element models
Benjamin Terschanski, Robert Klöfkorn, Andreas Dedner +1
Open-source simulation frameworks are evolving rapidly to provide accessible tools for the numerical solution of partial differential equations. Modern finite element (FEM) softwar…
Jacobian-free Multigrid Preconditioner for Discontinuous Galerkin Methods applied to Numerical Weather Prediction
Philipp Birken, Andreas Dedner, Robert Klöfkorn
Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are…
The Open Porous Media Flow Reservoir Simulator
Atgeirr Flø Rasmussen, Tor Harald Sandve, Kai Bao +9
The Open Porous Media (OPM) initiative is a community effort that encourages open innovation and reproducible research for simulation of porous media processes. OPM coordinates col…
The DUNE Framework: Basic Concepts and Recent Developments
Peter Bastian, Markus Blatt, Andreas Dedner +9
This paper presents the basic concepts and the module structure of the Distributed and Unified Numerics Environment and reflects on recent developments and general changes that hap…
Python Framework for HP Adaptive Discontinuous Galerkin Method for Two Phase Flow in Porous Media
Andreas Dedner, Birane Kane, Robert Klöfkorn +1
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 ada…
A Weak Compatibility Condition for Newest Vertex Bisection in any dimension
Martin Alkämper, Fernando Gaspoz, Robert Klöfkorn
We define a weak compatibility condition for the Newest Vertex Bisection algorithm on simplex grids of any dimension and show that using this condition the iterative algorithm term…
Distributed Newest Vertex Bisection
Martin Alkämper, Robert Klöfkorn
Distributed adaptive conforming refinement requires multiple iterations of the serial refinement algorithm and global communication as the refinement can be propagated over several…
The DUNE-ALUGrid Module
Martin Alkämper, Andreas Dedner, Robert Klöfkorn +1
In this paper we present the new DUNE-ALUGrid module. This module contains a major overhaul of the sources from the ALUgrid library and the binding to the DUNE software framework.…