scholarly journals A finite element formulation of the outlet gradient boundary condition for convective-diffusive transport problems

2004 ◽  
Vol 61 (15) ◽  
pp. 2716-2732 ◽  
Author(s):  
Fabien Cornaton ◽  
Pierre Perrochet ◽  
Hans-J�rg Diersch
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Diffusive Transport ◽  
Transport Problems

Non-Linear Finite Element Static Analysis of Flexible Risers With a Touch Down Boundary Condition

2007 ◽  
Author(s):  
S. A. Hosseini Kordkheili ◽  
H. Bahai
Keyword(s):  
Boundary Condition ◽  
Finite Element ◽  
Interaction Model ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Linear Finite Element ◽  
Steady State Current ◽  
Non Linear ◽  
Flexible Risers ◽  
Current Loading

In this paper a non-linear finite element formulation is presented for static analyses of the flexible risers in present of a touch down boundary condition. A four-nodded with twenty four degrees of freedoms pipe elbow element is used to derive the governing finite element formulation. A pipe-soil interaction model is used to identify seabed boundary condition. The effects of buoyancy force as well as steady-state current loading are considered to obtain useful finite element formulation for riser structures. The results of some sample solutions are given to illustrate the capability of the formulation.

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