98-2   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Andreas Prohl:

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

The simulation of chemically reacting flows in specific situations is a basic instrument in natural sciences in order to understand complex phenomena (e.g., salt concentrations in oceans) as well as in engineering sciences (e.g., the optimization of the Czochralski growth in semiconductor industries. The objective of the paper is two-fold: First, we will present a first-order time-splitting scheme that is suitable for parallelization of the related quantities in each time-step. Additionally, this scheme is based on the separate computation of the new velocity-field and pressure by means of Chorin's scheme. Second, we present a thorough analysis of this scheme deriving optimal error statements that are applicable for general flow situations.

Mathematics Subject Classification (1991): 35Q35, 65M12, 76D05, 76V05.

Keywords: Chemically reacting flows, Boussinesq model, incompressible Navier-Stokes equations, convergence analysis, projection methods, splitting methods, Chorin scheme.


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[Thu Feb 19 18:56:34 2009]
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