98-17 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Andreas Prohl:On the pollution effect of quasi-compressibility methods in magneto-hydrodynamics and reactive flowsThe 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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