Two numerical methods for computation of spherical flame development

摘要

Two numerical methods are described which have been used to compute the development of a spherical flame. The methods are adaptive in time and in space. The fundamental differences between the two methods concern the solution of the arising equation system and the time marching algorithm. One method solves all equations simultaneously, and uses an extrapolation method by Deuflhard and coworkers in the temporal integration. The second method make use of a predictor-corrector procedure in which the equations are solved one by one without being coupled to the other equations. This method uses a first-order backward-Euler expression when the time derivative is evaluated. (ERA citation 19:033838)