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

Summary.

The simulation of chemically reacting flows is a basic tool in natural sciences as well as engineering sciences to understand and predict complex flow phenomena (e.g., concentrations of salt in oceans or crystal growth in semiconductor industries, see e.g. [7, 19]). The objective of this paper is two-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-field and pressure iterates by means of Chorin's projection method. Second, a thorough analysis of this scheme is given that leads to optimal error statements which apply to general flow situations.