Comparison of Current Methods for the Evaluation of Einstein’s Integrals
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Volume 143, Issue 4
Abstract
Einstein’s integrals constitute one of the salient developments in theoretical sediment mechanics. An analysis of the accuracy and computational efficiency of proposed methods for the calculation of the Einstein’s integrals is presented. First, the accuracy of those techniques is determined using comparisons against highly accurate numerical results. For an infinite series solution, a study of accuracy versus number of terms in the partial sum is performed. Then, the central processing unit (CPU) times of the procedures are determined and compared over a full set of Rouse numbers and relative bedload-layer thicknesses. Finally, parallel versions of the methods are presented, and their parallel efficiency is assessed. Based on the criteria of accuracy, CPU time, and parallelization efficiency, it is concluded that the method by Guo and Julien, with modifications by Srivastava, is overall more efficient for implementation in sediment-transport codes.
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Journal of Hydraulic Engineering
Volume 143 • Issue 4 • April 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Dec 3, 2015
Accepted: Jul 6, 2016
Published online: Oct 28, 2016
Discussion open until: Mar 28, 2017
Published in print: Apr 1, 2017
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