Details
| Original language | English |
|---|---|
| Pages (from-to) | 153-190 |
| Number of pages | 38 |
| Journal | Computational mechanics |
| Volume | 39 |
| Issue number | 2 |
| Publication status | Published - 8 Dec 2005 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 39, No. 2, 08.12.2005, p. 153-190.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Advection approaches for single- and multi-material arbitrary Lagrangian-Eulerian finite element procedures
AU - Fressmann, D.
AU - Wriggers, Peter
PY - 2005/12/8
Y1 - 2005/12/8
N2 - 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.
AB - 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.
KW - Advection schemes
KW - Arbitrary Lagrangian-Eulerian
KW - Finite deformations
KW - Finite elementmethod
KW - Volume-of-fluid interface reconstruction
UR - http://www.scopus.com/inward/record.url?scp=33750429257&partnerID=8YFLogxK
U2 - 10.1007/s00466-005-0016-7
DO - 10.1007/s00466-005-0016-7
M3 - Article
AN - SCOPUS:33750429257
VL - 39
SP - 153
EP - 190
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 2
ER -