Boundary element simulation of the cathodic protection system in a prototype ship.

*(English)*Zbl 0651.65088The authors consider the problem of cathodic protection being used for prevention of corrosion in ships. The governing mathematical model is a nonlinear exterior potential problem. It is shown how an approximate solution of the problem may be obtained by the boundary element method. As an illustration of the method, calculations are carried out on a particular ship, and the results are compared with experiment.

Reviewer: Ll.G.Chambers

##### MSC:

65Z05 | Applications to the sciences |

65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |

65R20 | Numerical methods for integral equations |

35J65 | Nonlinear boundary value problems for linear elliptic equations |

35C15 | Integral representations of solutions to PDEs |

65C20 | Probabilistic models, generic numerical methods in probability and statistics |

##### Keywords:

cathodic protection; prevention of corrosion in ships; nonlinear exterior potential problem; boundary element method
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\textit{N. G. Zamani}, Appl. Math. Comput. 26, No. 2, 119--134 (1988; Zbl 0651.65088)

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##### References:

[1] | Chuang, J.M., Numerical solution of nonlinear boundary-value problems arising in corrosion and electroplating modeling with application to 3-D ships and marine stru ctures, Ph.D. thesis, (Aug. 1986), Department of Mechanical Engineering, Technical Univ. of Nova Scotia |

[2] | Graver, R.; Moreland, P.J.; Pini, G.; Graver, R.; Moreland, P.J.; Pini, G., (), 43 |

[3] | LaQue, F.L., Marine corrosion: causes and prevention, (1975), Wiley New York |

[4] | Mansfeld, F., The polarization resistance technique for measuring corrosion currents, (), 186 |

[5] | Fontana, M.G.; Greene, N.D., Corrosion engineering, (1978), McGraw-Hill |

[6] | Wagner, C., Theoretical analysis of the current density distribution in electrolytic cells, J. electrochem. soc., 98, 3, 116-128, (1951) |

[7] | Wagner, C., Contribution to the theory of cathodic protection, J. electrochem. soc., 99, 1, 1-12, (1952) |

[8] | Zamani, N.G., Computer aided design in cathodic protection systems, Contractor report prepared for the defense research establishment atlantic, (Apr. 1986), CR/86/419 |

[9] | Zamani, N.G.; Chuang, J.M.; Porter, J.F., BEM simulation of cathodic protection systems employed in infinite electrolytes, Internat. J. numer. methods engrg., 24, 3, 605-620, (March 1987) |

[10] | Zamani, N.G.; Porter, J.F.; Mufti, A.A., A survey of computational efforts in the field of corrosion engineering, Internat. J. numer. methods engrg., 23, 7, 1295-1311, (July 1986) |

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