LocModFE: Locally modified finite elements for approximating interface problems in deal.II
Stefan Frei,Thomas Richter,Thomas Wick +2 more
- Vol. 8, pp 100070
TLDR
The Software package LocModFE is an implementation of a locally modified finite element method for an accurate solution of interface problems, which was originally developed in the finite element library Gascoigne 3d and has now been rewritten in the widerspread library deal.II.Abstract:
We describe the Software package LocModFE, which is an implementation of a locally modified finite element method for an accurate solution of interface problems. The code was originally developed in the finite element library Gascoigne 3d and has now been rewritten in the widerspread library deal.II. This makes the concept of locally modified finite elements accessible to many users all over the world. Applications range from simple Poisson interface problems over multi-phase flows to complex multi-physics problems, such as fluid–structure interactions. Being based on deal.II, it provides plenty of possibilities for future extensions, e.g., parallel computing, multigrid solvers or mesh adaptivity.read more
Citations
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Journal ArticleDOI
CutFEM and ghost stabilization techniques for space‐time discretizations of the Navier‐Stokes equations
TL;DR: In this article , a new fictitious domain method based on higher order space-time finite element discretizations is proposed for simulation of the nonstationary, incompressible Navier-Stokes equations on evolving domains.
Posted Content
CutFEM and ghost stabilization techniques for higher order space-time discretizations of the Navier-Stokes equations.
Mathias Anselmann,Markus Bause +1 more
TL;DR: In this article, a new fictitious domain method based on higher order space-time finite element discretizations is proposed for simulation of the nonstationary, incompressible Navier-Stokes equations on evolving domains.
Journal ArticleDOI
A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions
TL;DR: In this paper , the authors extend the locally modified finite element method in two space dimensions to second order using an isoparametric approach in the interface elements, taking care that the resulting curved edges do not lead to degenerate sub-elements.
References
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Journal ArticleDOI
deal.II—A general-purpose object-oriented finite element library
TL;DR: The paper presents a detailed description of the abstractions chosen for defining geometric information of meshes and the handling of degrees of freedom associated with finite element spaces, as well as of linear algebra, input/output capabilities and of interfaces to other software, such as visualization tools.
Book ChapterDOI
Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow
Stefan Turek,Jaroslav Hron +1 more
TL;DR: In this article, the authors describe new benchmark settings for the rigorous evaluation of different methods for fluid-structure interaction problems, which consist of laminar incompressible channel flow around an elastic object which results in self-induced oscillations of the structure.
Journal ArticleDOI
The deal.II Library, Version 8.5
Daniel Arndt,Wolfgang Bangerth,Denis Davydov,Timo Heister,Luca Heltai,Martin Kronbichler,Matthias Maier,Jean-Paul Pelteret,Bruno Turcksin,David Wells +9 more
TL;DR: An overview of the new features of the finite element library deal in version 8.5.II is provided.
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The deal.II Library, Version 8.0
Wolfgang Bangerth,Timo Heister,Luca Heltai,Guido Kanschat,Martin Kronbichler,Matthias Maier,Bruno Turcksin,Toby D. Young +7 more
TL;DR: In this paper, the authors provide an overview of the new features of the finite element library deal 8.1.II version 8.2, which is the latest version of the library deal.