Higher-order simulation of impressed current cathodic protection systems

Robert A. Pfeiffer; John C. Young; Robert J. Adams; Stephen D. Gedney

doi:10.1016/j.jcp.2019.06.008

Higher-order simulation of impressed current cathodic protection systems

Robert A. Pfeiffer, John C. Young, Robert J. Adams, Stephen D. Gedney

Producción científica: Article › revisión exhaustiva

12 Citas (Scopus)

Resumen

In this paper, a surface integral equation formulation for the prediction of corrosion-related electrostatic fields of conducting structures in an electrolyte is presented. The integral equation is discretized using the Locally Corrected Nyström method. An iterative technique based on the Newton-Raphson method is described for use with nonlinear boundary conditions, and a Schur complement method is discussed to help improve the nonlinear solution efficiency. An image plane method is applied when an appropriate planar electrolyte-insulating bounding surface is present. The methods are validated by analysis of a canonical problem with analytic solution and by comparison to literature data. Higher-order solution convergence is observed for the canonical problem results.

Idioma original	English
Páginas (desde-hasta)	522-531
Número de páginas	10
Publicación	Journal of Computational Physics
Volumen	394
DOI	https://doi.org/10.1016/j.jcp.2019.06.008
Estado	Published - oct 1 2019

Nota bibliográfica

Publisher Copyright:
© 2019 Elsevier Inc.

Financiación

This research was supported under Office of Naval Research Grants N00014-16-1-3066 and N00014-16-1-2941 .

Financiadores	Número del financiador
Office of Naval Research Naval Academy	N00014-16-1-3066, N00014-16-1-2941
Office of Naval Research Naval Academy

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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title = "Higher-order simulation of impressed current cathodic protection systems",

abstract = "In this paper, a surface integral equation formulation for the prediction of corrosion-related electrostatic fields of conducting structures in an electrolyte is presented. The integral equation is discretized using the Locally Corrected Nystr{\"o}m method. An iterative technique based on the Newton-Raphson method is described for use with nonlinear boundary conditions, and a Schur complement method is discussed to help improve the nonlinear solution efficiency. An image plane method is applied when an appropriate planar electrolyte-insulating bounding surface is present. The methods are validated by analysis of a canonical problem with analytic solution and by comparison to literature data. Higher-order solution convergence is observed for the canonical problem results.",

keywords = "Cathodic protection, Corrosion, Locally-Corrected Nystr{\"o}m method",

author = "Pfeiffer, \{Robert A.\} and Young, \{John C.\} and Adams, \{Robert J.\} and Gedney, \{Stephen D.\}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = oct,

day = "1",

doi = "10.1016/j.jcp.2019.06.008",

language = "English",

volume = "394",

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T1 - Higher-order simulation of impressed current cathodic protection systems

AU - Pfeiffer, Robert A.

AU - Young, John C.

AU - Adams, Robert J.

AU - Gedney, Stephen D.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - In this paper, a surface integral equation formulation for the prediction of corrosion-related electrostatic fields of conducting structures in an electrolyte is presented. The integral equation is discretized using the Locally Corrected Nyström method. An iterative technique based on the Newton-Raphson method is described for use with nonlinear boundary conditions, and a Schur complement method is discussed to help improve the nonlinear solution efficiency. An image plane method is applied when an appropriate planar electrolyte-insulating bounding surface is present. The methods are validated by analysis of a canonical problem with analytic solution and by comparison to literature data. Higher-order solution convergence is observed for the canonical problem results.

AB - In this paper, a surface integral equation formulation for the prediction of corrosion-related electrostatic fields of conducting structures in an electrolyte is presented. The integral equation is discretized using the Locally Corrected Nyström method. An iterative technique based on the Newton-Raphson method is described for use with nonlinear boundary conditions, and a Schur complement method is discussed to help improve the nonlinear solution efficiency. An image plane method is applied when an appropriate planar electrolyte-insulating bounding surface is present. The methods are validated by analysis of a canonical problem with analytic solution and by comparison to literature data. Higher-order solution convergence is observed for the canonical problem results.

KW - Cathodic protection

KW - Corrosion

KW - Locally-Corrected Nyström method

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U2 - 10.1016/j.jcp.2019.06.008

DO - 10.1016/j.jcp.2019.06.008

M3 - Article

AN - SCOPUS:85067172929

SN - 0021-9991

VL - 394

SP - 522

EP - 531

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Higher-order simulation of impressed current cathodic protection systems

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