流固耦合

流固耦合, 就是流体与固体之间的交互作用。流固耦合的英文为Fluid-Structure Interaction 或是Fluid-Solid Interaction。流固耦合可简单分为单向及双向耦合，单向耦合忽略了结构变形对于流场空间的改变，因此计算更为简化。流固耦合双向耦合包括两种求解方法，一般称之为迭代耦合（弱耦合）和直接耦合（强耦合）两种计算方法。相关的计算软体有GDS Studio、ADINA、ANSYS、ESI-CFD 以及COMSOL等。

**商业程式**
 ESI CFD-ACE+
*Abaqus Multiphysics Coupling
*AcuSolve FSI applications- GDS Studio date=20180322042939 - ADINA FSI homepage
*Ansys' FSI homepage
*CoLyX - FSI and mesh-morphing from EVEN - Evolutionary Engineering AG
*COMSOL FSI homepage
*MpCCI homepage
*MSC Software MD Nastran
*MSC Software Dytran
*FINE/Oofelie FSI: Fully integrated and strongly coupled for better convergence
*LS-DYNA Home Page- SOLIDWORKS Flow Simulation date=20240608192321 

**参考文献**
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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.

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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.

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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.