NDLI: A Numerical Method to Solve the Static Problem of a Catenary Riser

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Silveira, Lauro Massao Yamada Da Martins, Clo´vis De Arruda
Copyright Year	2004
Abstract	The static configuration of a catenary riser can be obtained, with a good approximation, by a perfectly flexible cable model. However, such a model cannot deal with all the boundary conditions, as for an ideal cable there is no continuity of curvature at the touchdown point, at the top and at the points where there is change in the submerged weight. At the touchdown region, for instance, the cable model overestimates the maximum curvature. For real risers, the bending stiffness effect is relevant only at small boundary layers around the points where the cable model cannot represent well the curvature continuity. This represents a big problem in the numerical integration of the differential equation of the riser, as the leading order term is very small. One approach that can be adopted is to use firstly a perfect cable model and correct later the results with analytical expressions obtained from a boundary layer method. For a two-dimensional formulation it was already shown that this approach is very good. For a three-dimensional formulation, however, such expressions are very difficult to derive and the problem must be solved numerically. This work presents a numerical method to solve the differential equation of a catenary riser, including the bending stiffness. The results obtained are compared to analytical boundary layer solutions, for a two-dimensional case, and to a full nonlinear well-known commercial computer code.
Sponsorship	Ocean, Offshore, and Arctic Engineering Division
Starting Page	693
Ending Page	702
Page Count	10
File Format	PDF
ISBN	0791837432
DOI	10.1115/OMAE2004-51390
e-ISBN	0791837386
Volume Number	23rd International Conference on Offshore Mechanics and Arctic Engineering, Volume 1, Parts A and B
Conference Proceedings	ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering
Language	English
Publisher Date	2004-06-20
Publisher Place	Vancouver, British Columbia, Canada
Access Restriction	Subscribed
Subject Keyword	Pipeline risers Computers Numerical analysis Approximation Weight (mass) Differential equations Boundary-value problems Stiffness Risers (casting) Boundary layers Cables
Content Type	Text
Resource Type	Article

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