Use of dynamically adaptive grid techniques for the solution of electrochemical kinetic equations

摘要: Abstract The finite-difference patch-adaptive strategy for electrochemical kinetic simulations, described in Part 5 of this series papers, is extended to time-dependent models one-dimensional space geometry, involving spatially localised unknowns at the boundaries, multiple intervals, and non-local boundary conditions. These extensions are interest, among others, modelling studies of: adsorption and/or electrocatalytic reactions, liquid ∣ liquid interfaces, amalgam electrodes, biosensors, pattern formation electrodes. following new features included strategy. Grid objects, used by spatial grid adaptation algorithm, decomposed into interior subgrid keeping discrete values distributed unknowns, respectively. Linear algebraic equation systems, characterised quasi-block-tridiagonal matrices having variable block dimensions, isolated block-pentadiagonal rows, solved a specially developed variant Thomas previously published present author. Relative error control applied unknowns. calculation consistent solutions takes account temporal derivatives Accurate posteriori enabled.