Second Order Semi-Lagrangian Algorithms for the Study of Hydrodynamics of Electrochemical Cells

Abstract

Proceeding with previous works made by DosAnjos(2007) and Oliveira(2011) in their M.Sc. Dissertations, developed in the Metalurgy and Materials Graduate Program of the Instituto Alberto Luiz Coimbra (COPPE - Brazil), this work deals with the introduction of new features in a FEM - Finite Element Method code originally written by those authors, for the study of the hydrodynamic stability in electrochemical cells with rotating disk electrode A review of the related bibliography and the relevance of the subject can be found on the two cited M.Sc. Dissertations. Currently, the FEM Code developed in our group features a first order in time semi-Lagrangean scheme for interpolation of the shape functions for MINI elements. On a first step, QUADRATIC elements is now implemented, for discretization of the spatial domain. The following step, not yet implementd, will cope with the implementation of a second order in time semi-Lagrangea scheme. It is expected that both features will improve the precision of the results obtained with the code.