Advection approaches for single- and multi-material arbitrary Lagrangian-Eulerian finite element procedures

authored by: D. Fressmann, Peter Wriggers
Abstract: The essential feature in arbitrary Lagrangian-Eulerian (ALE) based finite element approaches is the additional requirement to consider flow effects of the materials and the solution variables through the computational domain. These flow effects are commonly known as advective effects. The present paper examines different advection strategies for the application of the ALE finite element method in a finite deformation solid mechanics framework, where especially micromechanical problems are referred to. The global solution algorithm is based on the well-known fractional step method that provides an operator splitting approach for the solution of the coupled ALE equations. Distinguishing the so-called single-material and the multi-material ALE method, different advection schemes based on volume- and material-associated advection procedures are required. For the latter case, the material interfaces are not resolved explicitly by the finite element mesh. Instead a volume-of-fluid interface tracking approach in terms of the volume fractions of the different material phases is applied.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Newcastle
Type: Article
Journal: Computational mechanics
Volume: 39
Pages: 153-190
No. of pages: 38
ISSN: 0178-7675
Publication date: 08.12.2005
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-005-0016-7 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{d35f21d711a94890a2b36599cc4b743f,
title = "Advection approaches for single- and multi-material arbitrary Lagrangian-Eulerian finite element procedures",
abstract = "The essential feature in arbitrary Lagrangian-Eulerian (ALE) based finite element approaches is the additional requirement to consider flow effects of the materials and the solution variables through the computational domain. These flow effects are commonly known as advective effects. The present paper examines different advection strategies for the application of the ALE finite element method in a finite deformation solid mechanics framework, where especially micromechanical problems are referred to. The global solution algorithm is based on the well-known fractional step method that provides an operator splitting approach for the solution of the coupled ALE equations. Distinguishing the so-called single-material and the multi-material ALE method, different advection schemes based on volume- and material-associated advection procedures are required. For the latter case, the material interfaces are not resolved explicitly by the finite element mesh. Instead a volume-of-fluid interface tracking approach in terms of the volume fractions of the different material phases is applied.",
keywords = "Advection schemes, Arbitrary Lagrangian-Eulerian, Finite deformations, Finite elementmethod, Volume-of-fluid interface reconstruction",
author = "D. Fressmann and Peter Wriggers",
year = "2005",
month = dec,
day = "8",
doi = "10.1007/s00466-005-0016-7",
language = "English",
volume = "39",
pages = "153--190",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "2",
}