2011 Fiscal Year Final Research Report
Comprehensive error estimation of simulations of pipe flows with elastic water column model
| Project/Area Number |
21580293
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Irrigation, drainage and rural engineering/Rural planning
|
|---|
| Research Institution | University of Tsukuba |
|---|
Principal Investigator |
|
|---|
| Research Collaborator |
ALAN Vardy University of Dundee, Civil Engineering Division, Professor
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Keywords | 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 |
|---|
| Research Abstract |
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.
|
