A survey of computational efforts in the field of corrosion engineering

Abstract

SUMMARYThis paper discusses a mathematical model governing the galvanic corrosion phenomenon and surveys the research efforts which have been applied to find a solution to the above problem. The authors classify these techniques into three categories. The first is the finite difference method (FDM), the second is the finite element method (FEM) and the last is the boundary clement method (BEM).

Relaxation iterative algorithms for solving cathodic protection systems with non‐linear polarization curves

“…We shall use a boundary element method in solving these equations, although other discretization methods such as ÿnite di erence or ÿnite element can also be employed. A survey of numerical discrete methods for solving CP systems was given by Zamani et al [16]. Since the equation does not have any interior forcing term, it turns out to be natural and convenient to use a boundary element method.…”

Iterative algorithms for impressed cathodic protection systems

“…A computer code was developed by Zamani [6] speciÿcally for ship building with a boundary element method. A review paper was presented by Zamani and Chuang [2].…”

A nonlinear elliptic boundary value problem related to corrosion modeling

“…We shall work entirely within the so-called potential model; we refer to [5], [12], [17] and the references therein, for a detailed derivation and justification of this model. Briefly stated the transport processes in the electrolytic solution are modeled by a dilute solution theory, in which the concentrations of the various species of the electrolytic solution are considered spatially constant away from the boundary.…”