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

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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 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.

Original language	English
Pages (from-to)	522-531
Number of pages	10
Journal	Journal of Computational Physics
Volume	394
DOIs	https://doi.org/10.1016/j.jcp.2019.06.008
State	Published - Oct 1 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Funding

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

Funders	Funder number
Office of Naval Research Naval Academy	N00014-16-1-3066, N00014-16-1-2941
Office of Naval Research Naval Academy

Keywords

Cathodic protection
Corrosion
Locally-Corrected Nyström method

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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10.1016/j.jcp.2019.06.008

Cite this

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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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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

Abstract

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Funding

Keywords

ASJC Scopus subject areas

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