Numerical analysis of a reaction–diffusion–convection system

摘要: Abstract This paper is concerned with the numerical analysis of behavior a homogeneous tubular reactor in which cubic autocatalytic reaction coupled to diffusion and convection transport. The set one-dimensional partial differential equations describing reaction–diffusion–convection system analyzed using different standard reduction techniques (finite difference, orthogonal collocation, finite element methods) within framework method lines. Both steady state dynamic behaviors are considered. Special high-resolution difference methods such as essentially non oscillatory (ENO) total variation diminishing (TVD) applied convectively dominant case. calculation results that special schemes ENO essential track efficiently steep moving fronts exhibited by strongly convective problems. strengths limitations considered examined discussed.