西南石油大学学报(自然科学版) ›› 2009, Vol. 31 ›› Issue (2): 151-154.DOI: 10.3863/j.issn.1674-5086.2009.02.038

• 石油机械工程及其它 • 上一篇    下一篇

天然气管道瞬变流动数值模拟新算法

田 园1 谢 英2 贺 三2 袁宗明2 刘雪梅2   

  1. 1.重庆科技学院石油工程学院,重庆 400042; 2.西南石油大学石油工程学院,四川 成都 610500
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2009-04-20 发布日期:2009-04-20

A NEW ALGORITHM OF NUMERICAL SIMULATION FOR TRANSIENT FLOW IN GAS PIPELINE

TIAN Yuan1XIE Ying2 HE San2 YUAN Zong-ming2 LIU Xue-mei2   

  1. 1.Petroleum Engineering Institute,Chongqing University of Science and Technology,Chongqing 400042,China;2.School of Petroleum Engineering,Southwest Petroleum University,Chengdu Sichuan 610500,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2009-04-20 Published:2009-04-20

摘要:

针对管道中介质瞬变流动的非线性偏微分方程组难以解析求解的问题,由质量、动量、能量三个偏微分方程构成的控制方程组,应用TVD/Godunov混合算法数值模拟天然气管道中气体的瞬变流动,摒弃了传统的差分方法对动量方程非线性对流项的线性化处理,而直接处理非线性对流项,从而大大提高了算法的稳定性和管道瞬变流动的仿真精度。算法采用了时间分裂法描述不完全堵塞管道,没有作等温假设,进一步增进了数值模拟的精度与合理性,获得了理想精度的计算结果。

关键词: 天然气管道, 瞬变流动, 非线性, TVD/Godunov混合算法, 数值模拟

Abstract: The nonlinear hyperbolic conservation laws of the transient flow of the media in gas pipeline are hard to be solved,so,the control conservation laws are constituted of mass,momentum and energy conservation laws,TVD/Godunov hydrid algorithm is used to simulate the transient flow in gas pipeline,and the traditional splitting approach processing nonlinear convection in momentum equation is dismissed,the convection term is directly processed,in the way,the stablization of the algorithm and emulating accuracy of the transient flow are greatly improved.The time splitting approach is used in the algorithm to describe not completely blocked pipeline,the computing result of ideal accuracy is obtained.

Key words: natural gas pipeline, transient flow, nonlinear, TVD/Godunov hybrid algorithm, numerical simulation

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