A simple iterative procedure for reducing stiffness and computer memory in reactive flow problems (Q1085750)

An iterative procedure for the solution of one-dimensional reactive flow problems has been developed. This technique was used in conjunction with the method of lines although application to other finite difference algorithms is also possible. The system of ordinary differential equations (ODE) resulting from the method of lines is broken up into subsets of equations representing the spatial profile of a single species. Each subset is solved individually while holding all other variables constant. This procedure is performed iteratively until a converged solution is obtained. Important features of this technique include: (1) a nonstiff ODE solver can be used, (2) computer core memory is reduced, and (3) computer core memory increases linearly rather than quadratically with increasing number of species or grids. This new algorithm is applied to the solution of low-pressure acetylene flames. Simulation results are in good agreement with results obtained by other methods.