Time-Line Interpolation Errors in Pipe Networks
Time-Line Interpolation Errors in Pipe Networks
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DOI：
10.1061/(asce)0733-9429(2006)132:3(294
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发表时间：
2006-03
影响因子：
2.4
通讯作者：
M. Shimada;Jim Brown;D. Leslie;A. Vardy
中科院分区：
文献类型：
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作者：
M. Shimada;Jim Brown;D. Leslie;A. Vardy
本文介绍了一种在管网非恒定流分析中计算误差的精确评定方法。该评估是有效的固定网格方法的特性分析，使用时间线插值。管道多项式传递矩阵的开发和类似的传递函数矩阵中使用的自由振荡理论。通过比较精确的数值预测，使用多项式传递矩阵与精确的分析预测，使用自由振荡理论的影响进行评估。这项研究是一个长期项目的一部分，旨在自动选择数值网格大小在非定常流分析。最终的目标是使非定常流软件的用户能够规定所需的精度，而不是指定数值网格本身。本文只是朝着长期目标迈出的第一步，但它是朝着中间目标迈出的一大步，为评估自动网格选择的近似方法提供准确的基准数据。
An exact method of assessing numerical errors in analyses of unsteady flows in pipe networks is introduced. The assessment is valid for fixed-grid method of characteristics analyses using time-line interpolations. A pipe polynomial transfer matrix is developed and is analogous to transfer function matrices used in free oscillation theory. The influence of reachback is assessed by comparing exact numerical predictions using a polynomial transfer matrix with exact analytical predictions obtained using free oscillation theory. The investigation is part of a long-term project aimed at automating the selection of numerical grid sizes in unsteady flow analyses. The eventual goal is to enable users of unsteady flow software to prescribe required degrees of accuracy instead of specifying the numerical grid itself. This paper is only a first step toward the long-term aim, but it is a big step toward an intermediate objective of providing exact benchmarking data for the assessment of approximate methods of automatic grid selection.