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.

本文讨论了如何用时间线插值法估计特征差分方程的数值误差，适用于小马赫数管道中的水击问题。本文利用解析推导的数值解与管网驻波的精确解的比较，提出了一种估算时间线上相邻两个网格之间的插值误差和沿沿着特征线的摩擦项的时间积分误差的方法。这将是一个有用的工具，生成足够的网格计算通过精度控制，如时间推进稳定流方法控制精度最差，导致驻波的基本模式衰减快。