Abstract
The coupling of two-dimensional (2D) and one-dimensional (1D) models in time-harmonic elasticity is considered. The hybrid 2D-1D model is justified for cases where some regions in the 2D computational domain behave approximately in a 1D way. This hybrid model, if designed properly, is much more efficient than the standard 2D model taken for the entire problem. Two important issues related to such hybrid 2D-1D models are (a) the design of the hybrid model and its validation (with respect to the original problem), and (b) the way the 2D-1D coupling is done, and the coupling error generated. This paper focuses on the second issue. Three numerical methods are adapted to the 2D-1D coupling scenario, for elastic time-harmonic waves: the Panasenko method, the Dirichlet-to-Neumann (DtN) method and the Nitsche method. All three are existing methods that deal with interfaces; however none of them has previously been adopted and applied to the type of problem studied here. The accuracy of the 2D-1D coupling by the three methods is compared numerically for a specially designed benchmark problem, and conclusions are drawn on their relative performances.
Original language | English |
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Journal | Civil-Comp Proceedings |
Volume | 106 |
State | Published - 2014 |
Keywords
- 2D-1D
- Coupling
- Derivative-recovery
- Dirichlet-to-Neumann
- Elastic waves
- Elastodynamic
- High dimension
- Hybrid model
- Low dimension
- Nitsche
- Panasenko
- Time-harmonic
All Science Journal Classification (ASJC) codes
- Environmental Engineering
- Civil and Structural Engineering
- Computational Theory and Mathematics
- Artificial Intelligence