BEM Analysis of the Potential Distribution on a Tubular Structure under Cathodic Protection : Report 1 Development of the Cylindrical Surface Element

概要

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In order to analyze the cathodic protection problem of a tubular structure, such as an offshore jacket or a platform, by the boundary element method (BEM), three types of cylindrical surface isoparametric elements : cylindrical linear element, cylindrical Surface trapezoidal bilinear element and cylindrical surface triangular linear element, are developed. By combining these three elements, any complex tubular structure can be represented exactly, and the accuracy in a BEM analysis of the cathodic protection problem of a tubular structure is improved. An optimal mesh system which significantly saves CPU time comparing with a plane element mesh system can be made easily from these types of cylindrical surface element. In order to simplify the mesh division in the BEM analysis of a tubular structure with a lot of joints, a simplified model of the tubular joint, in which the joint is separated into simple tubes, is investigated by using the proposed elements. In the case that no anode is near to the intersected node of the joint or that the anode is near to the intersected node, but radii are not so big, this simplification is applicable to tubular structures.
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