Aproximação numérica - analítica para a modelagem da conversão termoquímica de combustíveis sólidos

Abstract

A numerical algorithm was created to present the solution of the thermochemical conversion of a solid fuel. It was created in order to be flexible and very dependent of the reaction mechanism to be represented. Therefore, a system of characteristic equations of this problem was solved by an iterative method attached to symbolic mathematics. Due to nonlinearities in the equations and because it is small particles is applied Newton’s method to reduce the system of partial differential equations (PDE’s) for a system of ordinary differential equations (ODE’s). This process is based on the union of this iterative method for numerical differentiation because it can incorporate into ODE’s analytic functions. The reduced model is solved numerically using the technique of bi-conjugate gradient (BCG). This model promises to have high convergence rate if using a low number of iterations, and present high speed in the presentation of the new linear system solutions generated. Furthermore, the algorithm is shown independent of the size of the mesh. For validation, the normalized mass will be calculated and compared with experimental values found in the literature, and a test with a simplified mechanism for the reaction will be done.