Possibilities of the particle finite element method for fluid-structure interaction problems with free surface waves

2004 ◽  
Vol 13 (5-7) ◽  
pp. 637-666
Author(s):  
Eugenio Oñate ◽  
Sergio Rodolfo Idelsohn ◽  
Facundo Del Pin ◽  
Romain Aubry
2004 ◽  
Vol 01 (02) ◽  
pp. 267-307 ◽  
Author(s):  
E. OÑATE ◽  
S. R. IDELSOHN ◽  
F. DEL PIN ◽  
R. AUBRY

We present a general formulation for the analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use of a Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are thus viewed as particles which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility condition in the fluid is introduced via the finite calculus (FIC) method. A fractional step scheme for the transient coupled fluid-structure solution is described. Examples of application of the PFEM method to solve a number of fluid-structure interaction problems involving large motions of the free surface and splashing of waves are presented.


2013 ◽  
Vol 423-426 ◽  
pp. 1737-1740
Author(s):  
Yong Feng Gao ◽  
Xiang Yan Zhang ◽  
Ning Liu

A method for the analysis of the axially symmetric fluid-structure interaction (FSI) problems which has free surfaces, based on the particle finite element method (PFEM), is proposed. To solve the incompressible axially symmetric N-S equations, a stabilized formulation based on the finite calculus procedure is used in the fractional step method. The FSI problem is performed with a staggered scheme. And a flexible boundary is used between the fixed boundary and the moving boundary so as to replace the friction. The reliability of the present method is demonstrated by the comparisons of the results from the classical method and the present results for the recoil absorber simulation. The present method can improve the efficiency and veracity in the design of machines which have free surfaces.


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