| 耿艳芬,王志力,金生.基于有限体积水锤方程的Godunov格式离散[J].计算力学学报,2007,24(4):513~518 |
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| 基于有限体积水锤方程的Godunov格式离散 |
| A Godunov method for water hammer problem based on finite volume method |
| 修订日期：2005-12-26 |
| DOI：10.7511/jslx20074100 |
| 中文关键词: 水锤,特征分解,通量限制 |
| 英文关键词:water hammer,flux splitting,flux limiter |
| 基金项目:国家自然科学基金(50379027)，南京水利科学研究院基金(Y2061YY2061)资助项目 |
| 耿艳芬 王志力 金生 |
| 东南大学交通学院，南京水利科学研究院水文水资源与水利工程科学国家重点实验室，大连理工大学土木水利学院海岸和近海工程国家重点实验室 南京210096，大连理工大学土木水利学院海岸和近海工程国家重点实验室，大连116024，南京210024，大连理工大学土木水利学院海岸和近海工程国家重点实验室，大连116024，大连116024 |
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| 中文摘要: |
| 基于有限体积法建立了管道瞬变流的离散格式,采用特征分解技术计算界面通量,并通过重构和通量限制建立二阶精度的TVD格式。此格式保证了质量和动量的守恒性,物理意义明确,计算速度快,适用范围广。通过Riemann问题算例、水锤实例和各种阀门组合情况下的管网水锤实例验证了格式具有高分辨率、无虚假振荡和对克朗数灵敏度低等优点。 |
| 英文摘要: |
| An efficient numerical method with first and second order accuracy was developed by the flux split technology to simulate the water hammer problem in piping.The finite volume formulation ensured that both schemes conserve mass and momentum and produced physically realizable shock fronts.The proposed scheme has several desirable properties,such as,accurate,efficient,robust,high shock resolution,conservative and stable for Courant number.The Riemann problem and the water hammer problem and the pipe network with valves were implemented as example ones to test the numerical method for various Courant numbers.Strong numerical evidences show that the present numerical method incorporated with flux limiters is a promising one to simulate fluid transient problem for piping in the present study. |
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