Advection Tests of Optimal Compact Implicit Scheme
Publication: Journal of Hydraulic Engineering
Volume 129, Issue 5
Abstract
Gross, Koseff, and Monismith used two advection test cases to expose the poor performance of seven widely used explicit numerical schemes. Here, those test cases are used to reveal the weakness and strength of the optimal compact implicit scheme. In the diagonal advection of a sharp square block, there are sawtooth grid scale errors. Binomial smoothing, with standard deviation of one grid spacing of the initial square block is required before the optimal compact implicit scheme improves upon the best of the explicit schemes. For the circular advection of a smooth narrow Gaussian cone, the accuracy is times better than the best of the explicit schemes.
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Published In
Journal of Hydraulic Engineering
Volume 129 • Issue 5 • May 2003
Pages: 408 - 411
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: May 25, 2001
Accepted: Nov 8, 2002
Published online: Apr 15, 2003
Published in print: May 2003
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