A first order projection-based time-splitting scheme for computing chemically reacting flows

The simulation of chemically reacting flows is a basic tool in natural scie nces as well as engineering sciences to understand and predict complex flow phenomena (e.g., concentrations of salt in oceans or crystal growth in sem iconductor industries, see e.g. [7, 19]). The objective of this paper is tw o-fold: First, a first-order time-splitting scheme is presented that allows for efficient parallelization of the related quantities in each time-step. This scheme is based on the decoupled computation of the new velocity-fiel d and pressure iterates by means of Chorin's projection method. Second, a t horough analysis of this scheme is given that leads to optimal error statem ents which apply to general flow situations.