×

Effective boundary element methods in corrosion analysis. (English) Zbl 1047.74543

Summary: Effective boundary element methods to analyze corrosion problems for complicated structures were presented. The methods can be classified into two groups. The first one makes use of the characteristics of the structure to be analyzed, i.e. (1) thousands of same size tubes in an heat exchanger, for example, are treated by introducing a concept ‘macroscopic polarization curve’, (2) slender parts in a structure such as an off-shore structure and a bridge girder are analyzed by a kind of ‘zooming method’, (3) a non-axisymmetric potential distribution in an axisymmetric structure such as a pipeline and a seawater pump affected with outside structures is calculated by ‘Fourier series method’, and (4) target sub-region to be analyzed in detail, e.g. interior of guide casing of seawater pump, is analyzed by treating accompanying sub-regions as ‘equivalent boundary conditions’. The second one is an application of the Fast Multipole boundary element method (FMBEM), and can be used for an arbitrary structure. The method is also useful for optimum design of cathodic protection.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Zamani, N. G.; Porter, J. F.; Mufti, A. A., A survey of computational efforts in the field of corrosion engineering, Int J Numer Meth Engng, 23, 1295 (1986) · Zbl 0593.65078
[2] Strommen, R.; Keim, W.; Finnegan, J.; Mehdizadeh, P., Advances in off shore cathodic protection modeling using the boundary element method, Corrosion’86, Paper, 45, 45/1 (1986)
[3] Adey, R. A.; Brebbia, C. A.; Niku, S. M., Application of boundary elements in corrosion engineering, (Brebbia, C. A., Topics in boundary element research VII (1990), Springer: Springer Berlin), 34
[4] DeGiorgi, V. G.; Thomas, E. D.; Lucas, K. E.; Kee, A., A combined design methodology for impressed current cathodic protection system, (Ertekin, R. C.; Brebbia, C. A.; Tanaka, M.; Shaw, R., Proceedings of boundary element technology XI (1996), Computational Mechanics Publications: Computational Mechanics Publications Southampton, England), 335 · Zbl 0867.65073
[5] Aoki, S.; Amaya, K., Optimization of cathodic protection system by BEM, Engng Anal Bound Elem, 19, 147 (1997), EPS File slender/fig2.eps.epsf not found ts
[6] Aoki, S.; Amaya, K., Boundary element analysis of inverse problems in corrosion engineering, (Wrobel, L. C.; Ingham, D. B., Boundary integral formulations for inverse analysis (1997), Computational Mechanics Publications: Computational Mechanics Publications London, England), 151 · Zbl 0909.65123
[7] Aoki, S.; Amaya, K.; Miyasaka, M., (Orazem, M. E., Proceedings of corrosion’99. Proceedings of corrosion’99, Proceedings of corrosion’99 (1999), NACE), 45
[8] Aoki S, Amaya K, Miyasaka M. Analysis of corrosion problems by boundary element method, Tokyo, Syokabo; 1998 [in Japanese].; Aoki S, Amaya K, Miyasaka M. Analysis of corrosion problems by boundary element method, Tokyo, Syokabo; 1998 [in Japanese].
[9] Aoki, S.; Amaya, K.; Miyuki, H., Effective boundary element method for predicting corrosion rate of heat exchanger, (Atluri, S. N.; Yagawa, G.; Cruse, T. A., Proceedings of computational mechanics’95 theory and application (1995), Springer: Springer Berlin), 2714
[10] Amaya, K.; Aoki, S., Development of effective BEM for galvanic corrosion analysis of a slender structure, Trans JSME, 58-551, 1234 (1992), in Japanese
[11] Amaya, K.; Aoki, S.; Takazawa, H.; Uragou, M.; Miyasaka, M., An efficient boundary element method for non-axisymmetric three-dimensional corrosion problems, Trans Appl Mech, JSCE, 2, 177 (1999), in Japanese
[12] Adey RA, Niku SM, Brebbia CA, Finnegan J. Computer aided design of cathodic protection systems. Paper presented at the International Conference on Boundary Element Methods in Engineering, Villa Olmo, Lake Como, Italy; 24-27 September, 1985.; Adey RA, Niku SM, Brebbia CA, Finnegan J. Computer aided design of cathodic protection systems. Paper presented at the International Conference on Boundary Element Methods in Engineering, Villa Olmo, Lake Como, Italy; 24-27 September, 1985.
[13] Adey, R. A.; Niku, S. M., Computer modelling of corrosion using the boundary element method, Comput Model Corrosion. ASTM STP, 1154, 248-264 (1992)
[14] Ozakan, G.; Mengi, Y., On the use of FFT algorithm for the circumferential coordinate in boundary element formulation of axisymmetric problems, Int J Numer Meth Engng, 40, 2385-2412 (1997) · Zbl 0933.74072
[15] Amaya, K.; Naruse, N.; Aoki, S.; Miyasaka, M., Efficient boundary element method for large scale corrosion problems, Trans JSME, 65-635, 1493 (1999), in Japanese
[16] Nakayama, A.; Uragou, M.; Amaya, K.; Aoki, S., Application of fast multipole boundary element method of corrosion problems, J Soc Mater Sci, Jpn, 48-11, 1316 (1999), in Japanese
[17] Amaya, K.; Kaneko, T.; Aoki, S., Effective optimization of cathodic protection design by fast multipole boundary element method, Trans JSME, 67-661, 1417 (2001), in Japanese
[18] Fontana, M. G.; Greene, N. D., Corrosion engineering (1978), McGraw Hill: McGraw Hill Tokyo, Japan
[19] Brebbia, C. A., The boundary element method for engineering (1978), Pentech Press: Pentech Press London · Zbl 0414.65060
[20] Raamachandran, J., Boundary and finite elements: theory and problems (2000), CRC Press: CRC Press Boca Raton, FL
[21] Press, W. H., Numerical recipes in C: the art of scientific computing (1992), Cambridge University Press: Cambridge University Press Cambridge, England · Zbl 0845.65001
[22] Miyasaka, M.; Ishiguro, J.; Kishimoto, K.; Aoki, S., Corrosion’95, Paper No. 288. Corrosion’95, Paper No. 288, Corrosion’95, Paper No. 288 (1995), NACE International: NACE International Houston, TX, p. 288/1
[23] Wrobel, L. C.; Brebbia, C. A., Recent advances in BEM. Recent advances in BEM, Recent advances in BEM (1980), Computational Mechanics Publications: Computational Mechanics Publications London, England, p. 77
[24] Rokhlin, V., J Comput Phys, 60, 187 (1985)
[25] Greengard, L., The rapid evaluation of potential fields in particle systems (1988), MIT Press: MIT Press Cambridge · Zbl 1001.31500
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.