Studies on the Method of Orthogonal Collocation VII: An Efficient Collocation Method for Diffusion-convection Problems with Chemical Reaction

Abstract

In this work we present a new numerical scheme based on orthogonal collocation method to solve a reacting flow problem. The method is based on recasting the problem to become a larger set of first order differential equations and we show by numerical computation that the application of the method of orthogonal collocation to this new set of equations leads to a more efficient numerical scheme. Numerical simulation is carried out for steady state case. Keywords: Numerical solution, Orthogonal collocation, Diffusion, Convection, Reaction