98-17   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Andreas Prohl:

On the pollution effect of quasi-compressibility methods in magneto-hydrodynamics and reactive flows

The study of the asymptotics of quasi-compressibility methods is an essential tool to construct and improve numerical schemes in hydrodynamics, like e.g., stabilized finite element methods or time-splitting projection methods. - The goal of this work is to illustrate different asymptotical solution behavior for equations in magneto-hydrodynamics and those that describe reactive flows for standard quasi-compressibility methods that influences the design of numerical algorithms.

Mathematics Subject Classification (1991): 65M12, 76D05, 76V05, 76W05.

Keywords: Navier-Stokes equations, chemically reacting flows, magneto-hydrodynamics, perturbation analysis, projection methods.


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[Thu Feb 19 18:56:34 2009]
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