流固耦合, 就是流體固體之間的交互作用。流固耦合的英文為Fluid-Structure Interaction 或是Fluid-Solid Interaction。流固耦合可簡單分為單向及雙向耦合,單向耦合忽略了結構變形對於流場空間的改變,因此計算更為簡化。流固耦合雙向耦合包括兩種求解方法,一般稱之為迭代耦合(弱耦合)和直接耦合(強耦合)兩種計算方法。相關的計算軟體有GDS Studio、ADINA、ANSYS、ESI-CFD 以及COMSOL等。

商業程式

編輯

參考文獻

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1.^ Bungartz, Hans-Joachim; Schäfer, Michael, eds (2006). Fluid-structure Interaction: Modelling, Simulation, Optimization. Springer-Verlag. ISBN 3-540-34595-7.

2.^ M. Heil (2004). "An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems". Computer Methods in Applied Mechanics and Engineering 193: 1–23. doi:10.1016/j.cma.2003.09.006.

3.^ K.-J. Bathe; H. Zhang (2004). "Finite element developments for general fluid flows with structural interactions". International Journal for Numerical Methods in Engineering 60: 213–232. doi:10.1002/nme.959.

4.^ J. Hron, S. Turek (2006). A monolithic FEM/multigrid solver for ALE formulation of fluid-structure interaction with application in biomechanics. Lecture Notes in Computational Science and Engineering. Fluid–Structure Interaction – Modelling, Simulation, Optimisation. Springer-Verlag. pp. 146–170. ISBN 3-540-34595-7.

5.^ H. Matthies, J. Steindorf (2003). "Partitioned strong coupling algorithms for fluid-structure interaction". Computers and Structures 81: 805–812. doi:10.1016/S0045-7949(02)00409-1.

6.^ a b H. Matthies, R. Niekamp, J. Steindorf (2006). "Algorithms for strong coupling procedures". Computer Methods in Applied Mechanics and Engineering 195: 2028–2049. doi:10.1016/j.cma.2004.11.032.

7.^ C. Michler, E. van Brummelen, R. de Borst (2006). "Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction". Computer Methods in Applied Mechanics and Engineering 195: 2124–2148. doi:10.1016/j.cma.2005.01.018.

8.^ J.-F. Gerbeau, M. Vidrascu (2003). "A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows". ESAIM: Mathematical Modelling and Numerical Analysis 37 (4): 631–648. doi:10.1051/m2an:2003049.

9.^ J.-F. Gerbeau, M. Vidrascu, P. Frey (2005). "Fluid-structure interaction in blood flows on geometries based on medical imaging". Computers and Structures 83 (2-3): 155–165. doi:10.1016/j.compstruc.2004.03.083.

10.^ J. Degroote, K.-J. Bathe, J. Vierendeels (2009). "Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction". Computers and Structures 87: 793. doi:10.1016/j.compstruc.2008.11.013.

11.^ J. Vierendeels, L. Lanoye, J. Degroote, P. Verdonck (2007). "Implicit coupling of partitioned fluid-structure interaction problems with reduced order models". Computers and Structures 85 (11–14): 970–976. doi:10.1016/j.compstruc.2006.11.006.

12.^ a b P. Causin, J.-F. Gerbeau, F. Nobile (2005). "Added-mass effect in the design of partitioned algorithms for fluid-structure problems". Computer Methods in Applied Mechanics and Engineering 194 (42-44): 4506–4527. doi:10.1016/j.cma.2004.12.005.

13.^ U. Küttler, W. Wall (2008). "Fixed-point fluid-structure interaction solvers with dynamic relaxation". Computational Mechanics 43 (1): 61–72. doi:10.1007/s00466-008-0255-5.

14.^ J. Degroote, P. Bruggeman, R. Haelterman, J. Vierendeels (2008). "Stability of a coupling technique for partitioned solvers in FSI applications". Computers and Structures 86 (23–24): 2224–2234. doi:10.1016/j.compstruc.2008.05.005.

15.^ R. Jaiman, X. Jiao, P. Geubelle, E. Loth (2006). "Conservative load transfer along curved fluid-solid interface with non-matching meshes". Journal of Computational Physics 218 (1): 372–397. doi:10.1016/j.jcp.2006.02.016.

16.^ J. Vierendeels, K. Dumont, E. Dick, P. Verdonck (2005). "Analysis and stabilization of fluid-structure interaction algorithm for rigid-body motion". AIAA Journal 43 (12): 2549–2557. doi:10.2514/1.3660.

17.^ Christiane F?örster, Wolfgang A. Wall, Ekkehard Ramm (2006). "The artificial added mass effect in sequential staggered fluid-structure interaction algorithms". In P. Wesseling, E. Oñate, J. Périaux. European Conference on Computational Fluid Dynamics ECCOMAS CFD 2006. The Netherlands.

18.^ Christiane Förster, Wolfgang A. Wall, Ekkehard Ramm (2007). "Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows". Computer Methods in Applied Mechanics and Engineering 196: 1278–1293. doi:10.1016/j.cma.2006.09.002.