Summary
We present in a simple generic situation a new approach towards quantitative error control in computational fluid mechanics. Combining so-called strong stability and Galerkin orthogonality, we derive sharp a posteriori and a priori L 2 error estimates for stationary nearly parallel pipe flow governed by the incompressible Navier—Stokes equa-tions. These estimates state explicitely the dependence on the Reynolds number Re in the form of a multiplicative constant proportional to Re.
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© 1994 Springer Fachmedien Wiesbaden
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Johnson, C., Rannacher, R. (1994). On Error Control in CFD. In: Hebeker, FK., Rannacher, R., Wittum, G. (eds) Numerical methods for the Navier-Stokes equations. Notes on Numerical Fluid Mechanics (NNFM), vol 47. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14007-8_14
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DOI: https://doi.org/10.1007/978-3-663-14007-8_14
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07647-4
Online ISBN: 978-3-663-14007-8
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