Details
| Original language | English |
|---|---|
| Pages (from-to) | 14-26 |
| Number of pages | 13 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 255 |
| Publication status | Published - 1 Mar 2013 |
| Externally published | Yes |
Abstract
A fully Eulerian framework formulation for solving time-dependent fluid-structure interaction problems is proposed in this work. Although some preliminary work on this approach exists for stationary configurations, it remains to validate nonstationary processes. The formulation is stated in an implicit monolithic frame of reference. A finite difference scheme is used for temporal discretization whereas the spatial discretization is based on a Galerkin finite element scheme. The nonlinear problem is solved with a Newton method and with analytical evaluation of the Jacobian matrix. In contrast to interface tracking methods (for example, the arbitrary Lagrangian-Eulerian approach), the interface must be captured, which is similar to the level-set method. Consequently, the interface is allowed to intersect mesh cells, which is a crucial difficulty of this method where appropriate treatment must be suggested. The proposed formulation is substantiated by three numerical tests in which the performance of fully Eulerian fluid-structure interaction is demonstrated.
Keywords
- Finite elements, Fluid-structure interaction, Fully Eulerian approach, Level set, Monolithic formulation
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 255, 01.03.2013, p. 14-26.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fully Eulerian fluid-structure interaction for time-dependent problems
AU - Wick, Thomas
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/3/1
Y1 - 2013/3/1
N2 - A fully Eulerian framework formulation for solving time-dependent fluid-structure interaction problems is proposed in this work. Although some preliminary work on this approach exists for stationary configurations, it remains to validate nonstationary processes. The formulation is stated in an implicit monolithic frame of reference. A finite difference scheme is used for temporal discretization whereas the spatial discretization is based on a Galerkin finite element scheme. The nonlinear problem is solved with a Newton method and with analytical evaluation of the Jacobian matrix. In contrast to interface tracking methods (for example, the arbitrary Lagrangian-Eulerian approach), the interface must be captured, which is similar to the level-set method. Consequently, the interface is allowed to intersect mesh cells, which is a crucial difficulty of this method where appropriate treatment must be suggested. The proposed formulation is substantiated by three numerical tests in which the performance of fully Eulerian fluid-structure interaction is demonstrated.
AB - A fully Eulerian framework formulation for solving time-dependent fluid-structure interaction problems is proposed in this work. Although some preliminary work on this approach exists for stationary configurations, it remains to validate nonstationary processes. The formulation is stated in an implicit monolithic frame of reference. A finite difference scheme is used for temporal discretization whereas the spatial discretization is based on a Galerkin finite element scheme. The nonlinear problem is solved with a Newton method and with analytical evaluation of the Jacobian matrix. In contrast to interface tracking methods (for example, the arbitrary Lagrangian-Eulerian approach), the interface must be captured, which is similar to the level-set method. Consequently, the interface is allowed to intersect mesh cells, which is a crucial difficulty of this method where appropriate treatment must be suggested. The proposed formulation is substantiated by three numerical tests in which the performance of fully Eulerian fluid-structure interaction is demonstrated.
KW - Finite elements
KW - Fluid-structure interaction
KW - Fully Eulerian approach
KW - Level set
KW - Monolithic formulation
UR - http://www.scopus.com/inward/record.url?scp=84871151954&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2012.11.009
DO - 10.1016/j.cma.2012.11.009
M3 - Article
AN - SCOPUS:84871151954
VL - 255
SP - 14
EP - 26
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -