Mathematics Faculty Research

Title

an Adaptive Level Set Approach for Modeling Damage Due to Galvanic Corrosion

Document Type

Article

Publication Date

Spring 4-2015

Abstract

This article presents an approach to solving problems related to galvanic corrosion that involve moving boundaries (due to preferential corrosion of one of the metals in the system). The method incorporates an adaptive (node based, finite difference) grid technique for the treatment of boundary-related singularities that arise in the calculation of the electric potential. Simulation of the time evolution of the damage done by the corroding interface is performed using of a level set formulation. An analysis of the convergence of the method and a comparison with experimental data from the literature are included.

Publication Title

Journal of Engineering Mathematics

Volume

91

Issue

1

First Page

121

Last Page

142