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Numerical precision and dissipation errors in rotating flows

P.G. Tucker (Department of Applied Physics, Electronic and Mechanical Engineering, University of Dundee, Dundee, UK)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 November 1997

281

Abstract

Presents three non‐isothermal, time dependent, three dimensional examples having cylindrical geometries to show the significant effort of numerical precision and dissipation on rotating flow predictions. The examples are relevant to turbomachinery design and geophysical studies. Discusses the relationship between numerical precision, numerical dissipation and co‐ordinate system angular velocity. Compares predictions made in stationary and rotating co‐ordinate systems, using contour plots of dimensionless stream function and temperature. Shows that wrong, axisymmetric solutions are predicted if the co‐ordinate system is not selected to minimize relative tangential velocities/Peclet numbers, thereby increasing numerical precision and reducing dissipation.

Keywords

Citation

Tucker, P.G. (1997), "Numerical precision and dissipation errors in rotating flows", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 7, pp. 647-658. https://doi.org/10.1108/09615539710185532

Publisher

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MCB UP Ltd

Copyright © 1997, MCB UP Limited

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