Evaluation of weighted residual methods for the solution of the pellet equations: The orthogonal collocation, Galerkin, tau and least-squares methods

摘要: Abstract In recent years a number of publications have adopted the least-squares method for chemical reactor engineering problems such as population balance equation, fixed bed reactors and pellet equations. Evaluation performance compared to other weighted residual methods is therefore interest. Thus, in present study, numerical techniques family methods; orthogonal collocation, Galerkin, tau, methods, been solve non-linear comprehensive highly coupled problem. The methanol synthesis steam methane reforming process this study. Based on governing equations, collocation obtains same accuracy Galerkin tau methods. Moreover, associated with simplest algebra theory thus holds implementation. Another benefit that technique more computational efficient than evaluated. does not obtain particular, suitable strongly diffusion limited systems give rise steep gradients pellet. On side, considering spectral–element framework, less sensitive placement element boundaries observed paper outlines illustrate solution through simplified