Details
Original language | English |
---|---|
Pages (from-to) | 1456-1467 |
Number of pages | 12 |
Journal | Computers and Structures |
Volume | 89 |
Issue number | 13-14 |
Publication status | Published - Jul 2011 |
Abstract
In this work, we compare different mesh moving techniques for monolithically-coupled fluid-structure interactions in arbitrary Lagrangian-Eulerian coordinates. The mesh movement is realized by solving an additional partial differential equation of harmonic, linear-elastic, or biharmonic type. We examine an implementation of time discretization that is designed with finite differences. Spatial discretization is based on a Galerkin finite element method. To solve the resulting discrete nonlinear systems, a Newton method with exact Jacobian matrix is used. Our results show that the biharmonic model produces the smoothest meshes but has increased computational cost compared to the other two approaches.
Keywords
- Biharmonic equation, Finite elements, Fluid-structure interaction, Monolithic formulation
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 89, No. 13-14, 07.2011, p. 1456-1467.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fluid-structure interactions using different mesh motion techniques
AU - Wick, Thomas
N1 - Funding Information: The financial support by the DFG (Deutsche Forschungsgemeinschaft) and the IGK 710 is gratefully acknowledged. Further, the author thanks Dr. Th. Richter and Dr. M. Besier for discussions. Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/7
Y1 - 2011/7
N2 - In this work, we compare different mesh moving techniques for monolithically-coupled fluid-structure interactions in arbitrary Lagrangian-Eulerian coordinates. The mesh movement is realized by solving an additional partial differential equation of harmonic, linear-elastic, or biharmonic type. We examine an implementation of time discretization that is designed with finite differences. Spatial discretization is based on a Galerkin finite element method. To solve the resulting discrete nonlinear systems, a Newton method with exact Jacobian matrix is used. Our results show that the biharmonic model produces the smoothest meshes but has increased computational cost compared to the other two approaches.
AB - In this work, we compare different mesh moving techniques for monolithically-coupled fluid-structure interactions in arbitrary Lagrangian-Eulerian coordinates. The mesh movement is realized by solving an additional partial differential equation of harmonic, linear-elastic, or biharmonic type. We examine an implementation of time discretization that is designed with finite differences. Spatial discretization is based on a Galerkin finite element method. To solve the resulting discrete nonlinear systems, a Newton method with exact Jacobian matrix is used. Our results show that the biharmonic model produces the smoothest meshes but has increased computational cost compared to the other two approaches.
KW - Biharmonic equation
KW - Finite elements
KW - Fluid-structure interaction
KW - Monolithic formulation
UR - http://www.scopus.com/inward/record.url?scp=79956096556&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2011.02.019
DO - 10.1016/j.compstruc.2011.02.019
M3 - Article
AN - SCOPUS:79956096556
VL - 89
SP - 1456
EP - 1467
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 13-14
ER -