Second Order Semi-Lagrangian Algorithms for the Study of Hydrodynamics of Electrochemical Cells
Congress: ENCIT
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.