Análise não linear otimizada de sistemas de proteção catódica com métodos sem malha

Abstract

This work aims to implement and apply meshless methods to structures that need cathodic protection in order to operate. Among the non-meshed methods, the Fundamental Solutions Method (MSF) and the local Petrov Galerkin method, strands 1 (MLPG1) and 2 (MLPG2), which employ the weight function and the Dirac delta “weight” function, respectively, were implemented and applied to the problem of cathodic protection (PC). To optimize the processes, aiming to improve the results, genetic algorithms were used. The electrochemical potential problem is governed by the Laplace equation with boundary conditions given by a non-linear functional dependence between current and potential density, defined through the polarization curve. The various results of applications are discussed in this work, considering numerical simulations in finite regions. To validate the formulation of the meshless methods applied in the simulation of cathodic protection systems, the results were compared using the MSF, MLPG1 and MLPG2 with a solution procedure of the contour element method (MEC), one of the most common numerical methods used for modeling cathodic