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Journal of Scientific Computing

Erschienen in:

01.07.2013

A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes

verfasst von: P. X. Yu, Zhen F. Tian

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2013

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Abstract

A compact difference scheme is developed for the streamfunction-velocity formulation of the steady incompressible Navier–Stokes equations in polar coordinates, which is of second-order accuracy and carries streamfunction and its first derivatives (velocities) as the unknown variables. Numerical examples, including the biharmonic problem with an analytic solution in the unit circular region, the flow past an impulsively started circular cylinder, the driven polar cavity flow and the wall-driven semi-circular cavity flow problems, are solved by the present method. Compared with the existing values by different available numerical methods and experiments in the literature, numerical results demonstrate the accuracy and efficiency of the currently proposed scheme.

Vorheriger Artikel Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Nächster Artikel Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell’s Equations

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Titel: A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes
verfasst von: P. X. Yu
Zhen F. Tian
Publikationsdatum: 01.07.2013
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2013
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-012-9667-7

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