Numerical Oscillations in Pipe-Filling Bore Predictions by Shock-Capturing Models
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Volume 135, Issue 4
Abstract
The introduction of nonlinear, shock-capturing schemes has improved numerical predictions of hydraulic bores, but significant numerical oscillations have been reported in the predictions of pipe-filling bore fronts associated with the transition between open-channel and pressurized flow regimes. These oscillations can compromise the stability of numerical models. A study of these oscillations indicates that the strength of the numerical oscillations is associated with the sharp discontinuities in the flow parameters across the jump, particularly the wave celerity. Approaches to attenuate oscillations by artificially reducing acoustic wave speeds may result in the loss of simulation accuracy. Two new techniques to attenuate the oscillation amplitudes are presented, the first based on numerical filtering of the oscillations and the second based on a new flux function that judiciously introduces numerical diffusion only in the vicinity of the bore front. Both approaches are effective in decreasing the strength of the numerical oscillations.
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Acknowledgments
The writers would like to acknowledge the support of the CNPq, a Brazilian Government entity committed to the development of science and technology, that supported the Ph.D. studies of the first writer.
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Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 4 • April 2009
Pages: 296 - 305
Copyright
© 2009 ASCE.
History
Received: Dec 27, 2006
Accepted: Sep 3, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
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