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| Volume 5, Number 1, January 2009, pp. 111-126 | |||||||||
| F. Muttin | |||||||||
| Key words: | |||||||||
| membrane theory, finite-element method, fluid-solid interaction, tactical optimization | |||||||||
| Mathematices Subject Classification: 74K15, 74G05, 74-02, 76B75 | |||||||||
|
|||||||||
| Volume 5, Number 1, January 2009, pp. 111-126 | |||||||||
| F. Muttin | |||||||||
| Key words: | |||||||||
| membrane theory, finite-element method, fluid-solid interaction, tactical optimization | |||||||||
| Mathematices Subject Classification: 74K15, 74G05, 74-02, 76B75 | |||||||||
|
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| Abstract: | |||
| Using a non-linear membrane theory we establish a mechanical model for oil spill floating boom. The model is based on the minimization of the internal strain energy minus the external energy of the applied forces. The discretisation of the boom uses a four-nodes quadrilateral finite-element. The non-linear variational problem is solved using the Newton-Raphson method. The vertical angle of the boom skirt is computed and is used to evaluate the oil containment efficiency. A boom plan tactical optimization problem is formulated. Several real-life operational constraints are given for the boom plan definition. Numerical examples illustrate the capability of the numerical model. | |||
| Oil spill boom modeling, numerical approximation and contingency plan optimization | ||