一维气液两相漂移模型全隐式AUSMV算法研究

徐朝阳; 孟英峰; 郭劲松; 李皋; 邱全锋

doi:10.21656/1000-0887.390110

一维气液两相漂移模型全隐式AUSMV算法研究

doi: 10.21656/1000-0887.390110

¹中国石油集团渤海钻探工程有限公司定向井技术服务分公司, 天津 300280;²西南石油大学油气藏地质及开发工程国家重点实验室, 成都 610500;³西华师范大学数学与信息学院, 四川南充 637000

基金项目: 国家科技重大专项（2016ZX05021004）；国家自然科学基金（51674217）

详细信息

作者简介:
徐朝阳（1985—），男，工程师，博士(通讯作者. E-mail: 04011xzy@sina.com);孟英峰（1954—），男，教授，博士，博士生导师(E-mail: cwctmyf@vip.sina.com).

中图分类号: O359.1|O241.82
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出版历程
- 收稿日期: 2018-04-08
- 修回日期: 2018-05-21
- 刊出日期: 2019-04-01

Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

¹Directional Drilling Service Company, CNPC Bohai Drilling Engineering Company Limited, Tianjin 300280, P.R.China;²State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation,Southwest Petroleum University, Chengdu 610500, P.R.China;³School of Mathematics & Information, China West Normal University, Nanchong, Sichuan 637000, P.R.China

Funds: The National Science and Technology Major Project of China(2016ZX05021-004);The National Natural Science Foundation of China(51674217)

摘要

摘要: 气液两相漂移模型显式AUSMV（advection upstream splitting method combined with flux vector splitting method）算法的时间步长受限于CFL（Courant-Friedrichs-Lewy）条件，为了提高计算效率，建立了一种全隐式AUSMV算法求解气液两相漂移模型.采用AUSM格式结合FVS（flux vector splitting）格式构造连续方程和运动方程的对流项数值通量，AUSM格式构造压力项数值通量.离散控制方程是非线性方程组，采用六阶Newton(牛顿)法结合数值Jacobi矩阵求解.计算经典算例Zuber-Findlay激波管问题和复杂漂移关系变质量流动问题，结果分析表明：全隐式AUSMV算法，色散效应小，无数值震荡，计算精度高.在压力波波速高的条件下，可以显著提高计算效率，耗散效应小.
- 气液两相漂移模型 /
- AUSMV格式 /
- 全隐式算法 /
- 六阶Newton法 /
- 数值Jacobi矩阵
Abstract: The time step of the explicit AUSMV (advection upstream splitting method combined with flux vector splitting) algorithm is limited by the CFL (Courant-Friedrichs-Lewy) conditions. To improve computational efficiency, an implicit AUSMV algorithm was proposed for the gas-liquid two-phase drift flux model. The numerical flux of convective terms in the continuity equations and motion equations was set up with the AUSM scheme plus the FVS (flux vector splitting) scheme, while the numerical flux of pressure terms in the motion equations was built with the AUSM scheme. The nonlinear dynamical discrete governing equation system was solved numerically with the 6th-order Newtonian method and the numerical Jacobian matrix. The classical test examples were simulated, which involved the Zuber-Findlay shock tube problem and the variable mass flow problem with complex slip relation. The numerical results show that, the implicit AUSMV algorithm has small dispersion effects, no numerical oscillation and high computational accuracy. Under the condition of high pressure wave velocity, the algorithm has superior calculation efficiency with low dissipation effects.
- gas-liquid two-phase drift flux model /
- AUSMV /
- implicit algorithm /
- 6th-order Newtonian method /
- numerical Jacobian matrix

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参考文献(21)

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一维气液两相漂移模型全隐式AUSMV算法研究

doi: 10.21656/1000-0887.390110

作者简介:
徐朝阳（1985—），男，工程师，博士(通讯作者. E-mail: 04011xzy@sina.com);孟英峰（1954—），男，教授，博士，博士生导师(E-mail: cwctmyf@vip.sina.com).

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Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

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一维气液两相漂移模型全隐式AUSMV算法研究

doi: 10.21656/1000-0887.390110

作者简介: 徐朝阳（1985—），男，工程师，博士(通讯作者. E-mail: 04011xzy@sina.com);孟英峰（1954—），男，教授，博士，博士生导师(E-mail: cwctmyf@vip.sina.com).

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出版历程

Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

计量

出版历程

目录

作者简介:
徐朝阳（1985—），男，工程师，博士(通讯作者. E-mail: 04011xzy@sina.com);孟英峰（1954—），男，教授，博士，博士生导师(E-mail: cwctmyf@vip.sina.com).