Adaptive moving mesh algorithm based on local reaction rate

Abstract An empirical mesh adaption algorithm is introduced for modeling one-dimensional reaction-diffusion systems with large moving gradients. Our new based on the revelation, that in high concentration gradients appear nearby to region where rate of reaction maximal, thus local can be used control adaption. We found, main advantage such a method its simplicity and easy implementation. As an example we study acid-base diode, appear. The mathematical model diode contains several parabolic PDEs, coupled one elliptic PDE. r-refinement technique attached commercial finite element solver COMSOL. investigated time-dependent salt effects our developed algorithm. advantageous any localized