MacCormack算法在长输管道瞬变流动仿真中的应用  

Application of MacCormack algorithm in transient flow simulation of long-distance pipeline

作　　者：王勇 王力 胡衡 王苏雯 WANG Yong;WANG Li;HU Heng;WANG Suwen(College of Petroleum Engineering,Xi'an Shiyou University;Petroleum Engineering School,Southwest Petroleum University;Gas Field Development Division,PetroChina Changqing Oilfield Company)

机构地区：[1]西安石油大学石油工程学院 [2]西南石油大学石油与天然气工程学院 [3]中国石油长庆油田分公司气田开发事业部

出　　处：《油气储运》2020年第5期542-548,共7页Oil & Gas Storage and Transportation

基　　金：陕西省教育厅科研计划项目“基于水力热力耦合的海底输油管道投产置换数值模拟研究”,18JK0629;国家自然科学基金面上基金资助项目“基于高阶累积量和地应力约束下的多孔介质并行随机模拟方法研究”,51974247;国家自然科学基金青年基金资助项目“基于多点统计学的天然裂缝系统随机建模方法研究及并行实现”,41502311。

摘　　要：为了提高长输管道仿真精度和速率,基于MacCormack格式基本原理和流动方程建立了长输液体管道水力瞬变流动仿真模型。以某管道为例,分别采用该仿真算法和特征线法模拟了阀门关闭和流量增加引起的瞬变流动,并探讨了MacCormack格式中不同边界条件处理方法及Courant常数值对模拟结果的影响。结果表明:MacCormack格式可用于精确仿真长输管道瞬变流动过程,采用特征线法求解预估层边界参数后,其振荡幅度、收敛速度均优于特征线仿真方法;同时,采用特征线法处理MacCormack格式边界条件较线性外插法更易收敛。研究成果可为长输管道瞬变流动仿真提供参考。To improve the simulation precision and speed of long-distance pipelines,the simulation model of hydraulic transient flow in long-distance liquid pipelines was established based on the basic principle of MacCormack format and flow equation.Take one pipeline as an example,in which the transient flow caused by valve closing and flow increasing was simulated by the simulation algorithm and the characteristic method respectively.The processing method for different boundary conditions in MacCormack format and the influence of Courant constant on the simulation results were discussed.The results show that,the MacCormack format can be used to accurately simulate the transient flow process of long-distance pipelines and,after the characteristic method was used to solve the estimated layer boundary parameters,its oscillation amplitude and convergence rate are better than that obtained by the characteristic simulation method.Moreover,the boundary condition of MacCormack format processed by characteristic method is conducive to converge than by linear extrapolation method.The research results can provide reference for transient flow simulation of long-distance pipelines.

关 键 词：长输管道 瞬变流 模拟 MacCormack 边界条件 

分 类 号：TE83[石油与天然气工程—油气储运工程]