Abstract
The analyses of projection schemes of higher order in the preceding chapters have highlighted the difficulties of these numerical schemes to cope with highly incompatible flows. As results, we proved an optimal behavior of convergence for the classical Van Kan scheme for problem constellations that satisfy the regularity assumptions demanded in Postulate B 2, cf. page 145. The sharpness of this restrictive limitation of applicability is shown by numerical experiments leading to a global reduction of the convergence order in the case of violation, i.e., in case of incompatible flows.
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© 1997 Springer Fachmedien Wiesbaden
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Prohl, A. (1997). Time Discretization on Time-Grids with Structure — from Euler and Trapezoidal Method to Revised Projection Schemes. In: Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations. Advances in Numerical Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11171-9_10
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DOI: https://doi.org/10.1007/978-3-663-11171-9_10
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-519-02723-2
Online ISBN: 978-3-663-11171-9
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