Comprehensive error estimation of simulations of pipe flows with elastic water column model

弹性水柱模型管流模拟的综合误差估计

• 批准号: 21580293
• 负责人: SHIMADA Masashi
• 金额: $ 3.16万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21580293/
• 关键词: 流体工学; 管水路; 水撃現象; 数値解析; 特性法; 誤差解析; 時間補間; 定常波; 離散誤差; 特性直線法; 誤差評価; 格子; 摩擦抵抗; 誤算解析

The paper deals with how to estimate numerical errors of characteristic finite difference equations using time-line interpolations, valid for water hammer in pipes with small Mach number. The method of estimating errors due to interpolations between two adjacent grids in time line and time integration of friction terms along characteristic lines is formulated using comparisons between numerical solutions, which are analytically derived, and exact solutions of standing waves in pipe networks. It will be useful tool for generating adequate grids for computations through accuracy control such as time-marching steady flow approach controlling the accuracy to be worst, leading to decaying fast the elementary mode of standing wave.

该论文介绍了如何使用时线插值来估计特征有限差方程的数值错误，这对于有少量马赫数的管道中的水锤有效。由于分析得出的数值解之间的比较，通过分析溶液之间的比较来制定估计两个相邻网格之间插值的误差方法和沿特征线的摩擦项的时间整合，并在管道网络中进行了精确的固化解决方案。通过准确控制，例如，时间构建稳定流量进近控制精度最差的准确性，这将是为计算产生足够的网格的有用工具，从而使衰减迅速衰减。