98-3   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Andreas Prohl:

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

The computation of velocity field, pressure, temperature distribution and mass fraction functions that are coupled in a nonlinear PDE describing chemically reacting flows is a challenging task since computational resources are limited. Implicit solution ansatzes of the coupled quantities require a vast amount of storage capacities that is lacking on normal workstations to resolve complex flow structures. The present paper proposes and analyzes a 2nd order time-splitting scheme that leads to a significant reduction of computational work and is appropriate to parallelization strategies in solving approximates in each iteration step. Optimal convergence results justify the accuracy of the splitting approach.

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, Van Kan scheme, parallelization.


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[Thu Feb 19 18:56:34 2009]
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