一维气液两相漂移模型的AUSMV算法研究

徐朝阳; 孟英峰; 魏纳; 李皋; 万里平

doi:10.3879/j.issn.1000-0887.2014.12.009

一维气液两相漂移模型的AUSMV算法研究

doi: 10.3879/j.issn.1000-0887.2014.12.009

油气藏地质及开发工程国家重点实验室(西南石油大学), 成都 610500

基金项目: 国家科技重大专项(2011ZX05021-003)；国家自然科学基金(51104124)

详细信息

作者简介:
徐朝阳(1985—)，男，四川仪陇人，博士生(通讯作者. E-mail: 04011xzy@sina.com);孟英峰(1954—)，男，河北保定人，教授，博士生导师(E-mail: cwctmyf@vip.sina.com).

中图分类号: O359^+.1; O241.82
计量
- 文章访问数: 1793
- HTML全文浏览量: 206
- PDF下载量: 884
- 被引次数: 0
出版历程
- 收稿日期: 2014-06-23
- 修回日期: 2014-09-22
- 刊出日期: 2014-12-15

Research on the AUSMV Scheme for 1D Gas-Liquid Two-Phase Flow Drift Flux Models

State Key Laboratory of Oil&Gas Reservoir Geology and Exploitation(Southwest Petroleum University), Chengdu 610500, P.R.China

Funds: The National Science and Technology Major Project of China (2011ZX05021-003); The National Natural Science Foundation of China (51104124)

摘要

摘要: 将AUSMV(advection upstream splitting method V)格式从计算气体动力学问题扩展至一维等温瞬态气液两相管流.阐述了采用AUSMV格式构建气液两相漂移模型数值通量的方法及边界单元的处理方法.采用RungeKutta方法与经典的保单调MUSCL(monotone upstreamcentred schemes for conservation laws)方法结合Van Leer限制器，构建具有二阶时间和空间精度的数值计算方法.计算经典Zuber-Findlay激波管问题和复杂漂移关系变质量流动问题并与可靠的参考结果进行了对比.分析表明：AUSMV格式应用于气液两相流动漂移模型时计算效率高、精度高、耗散效应和色散效应小，低流速条件下能够精确地描述间断.
- 一维等温气液两相流 /
- 漂移模型 /
- AUSMV /
- 数值计算
Abstract: Application of the AUSMV (advection upstream splitting method V) scheme was extended from gas dynamics to transient 1D isothermal gas-liquid two-phase pipe flow problems. The method of numerical flux for the DFM (drift flux model) constructed with the AUSMV scheme and treatment of boundary cells were stated for the simulations. The numerical calculation method of 2nd-order accuracy in time and space was obtained with the classical Runge-Kutta method and the monotonous MUSCL (monotone upstream-centred schemes for conservation laws) technique combined with the Van Leer limiter. The numerical examples including the Zuber-Findlay shock tube problem and the variable mass flow problems with complex slip relations were conducted and comparatively discussed. The results indicate that the proposed AUSMV scheme, with advantages of high efficiency, high precision and low effects of dissipation and dispersion, accurately details the discontinuities of 1D gas-liquid two-phase flow problems under low flow velocity conditions.
- 1D isothermal gas-liquid two-phase flow /
- drift flux model /
- AUSMV /
- numerical calculation

HTML全文

参考文献(23)

[1]	Delhaye J M. Equations fondamentales des ecoulements diphasiques, part 1 and 2[R]. Report CEA-R-3429, France, 1968.
[2]	Zuber N, Findlay J A. Average volumetric concentration in two-phase flow systems[J]. Journal of Heat Transfer,1965,87(4): 453-468.
[3]	Large A C V M, Fjelde K K, Time R W .Underbalanced drilling dynamics: two-phase flow modeling and experiments[J]. SPE Journal,2003,8(1): 61-70.
[4]	Abbaspour M, Chapman K S, Glasgow L A. Transient modeling of non-isothermal, dispersed two-phase flow in natural gas pipelines[J]. Applied Mathematical Modelling,2010,34(2): 495-507.
[5]	Benzoni-Gavage S. Analyse numérique des modèles hydrodynamiques d’écoulements diphasique instationnaires dans les réseaux de production pétroliere[D]. PhD Thesis. France: ENS Lyon, 1991.
[6]	Théron B. coulements diphasique instationnaires en conduite horizontale[D]. PhD Thesis. France: INP Toulouse, 1989.
[7]	Barnea D. A unified model for predicting flow pattern transitions for the whole range of pipe inclinations[J]. International Journal of Multiphase Flow,1987,13(1): 1-12.
[8]	Liou Meng-Sing, Steffen C J. A new flux splitting scheme[J]. Journal of Computational Physics,1993,107(1): 23-39.
[9]	Liou Meng-Sing. A sequel to AUSM: AUSM⁺[J]. Journal of Computational Physics,1996,129(2): 364-382.
[10]	Wada Y, Liou Meng-Sing. An accurate and robust flux splitting scheme for shock and contact discontinuities[J]. SIAM Journal on Computing,1997,18(3): 633-657.
[11]	Liou Meng-Sing. A sequel to AUSM—part II: AUSM⁺-up for all speeds[J]. Journal of Computational Physics,2006,214(1): 137-170.
[12]	阎超, 于剑, 徐晶磊, 范晶晶, 高瑞泽, 姜振华. CFD模拟方法的发展成就与展望[J]. 力学进展, 2011,41(5): 562-588.(YAN Chao, YU Jian, XU Jing-lei, FANG Jing-jing, GAO Rui-ze, JIANG Zhen-hua. On the achievements and prospects for the methods of computational fluid dynamics[J]. Advances in Mechanics,2011,41(5): 562-588.(in Chinese))
[13]	Edwards J R, Franklin R K, Liou Meng-Sing. Low-diffusion flux-splitting methods for real fluid flows with phase transitions[J]. AIAA Journal,2000,38(9): 1624-1633.
[14]	NIU Yang-yao. Simple conservative flux splitting for multi-component flow calculations[J]. Numerical Heat Transfer, Part B,2000,38(2): 203-222.
[15]	NIU Yang-yao. Advection upwinding splitting method to solve a compressible two-fluid model[J]. International Journal of Numerical Methods in Fluids,2001,36(3): 351-371.
[16]	Paillère H, Corre C, García Cascales J R. On the extension of the AUSM⁺ scheme to compressible two-fluid models[J]. Computers and Fluids,2003,32(16): 891-916.
[17]	Evje S, Fjelde K K. Hybrid flux-splitting schemes for a two-phase flow model[J]. Journal of Computational Physics,2002,175(2): 674-701.
[18]	Evje S, Fjelde K K. On a rough AUSM scheme for a one-dimensional two-phase model[J]. Computer and Fluids,2003,32(10):1497-1530.
[19]	Van Leer B. Towards the ultimate conservative difference scheme—V: a second-order sequel to Godunov’s method[J]. Journal of Computational Physics,1979,32(1): 101-136.
[20]	张德良. 计算流体力学教程[M]. 北京: 高等教育出版社, 2010: 180-194.(ZHANG De-liang. A Course in Computational Fluid Dynamics [M]. Beijing: Higher Education Press, 2010: 180-194.(in Chinese))
[21]	Evje S, Fltten T. Hybrid flux-splitting schemes for a common two-fluid flow model[J].Journal of Computational Physics,2003,192(1): 175-210.
[22]	Flatten T, Munkejord S T. The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model[J]. ESAIM: Mathematical Modelling and Numerical Analysis,2006,40(4): 735-764.
[23]	Munkejord S T, Evje S, Flatten T. The multi-stage centred-scheme approach applied to a drift-flux two-phase flow model[J]. International Journal for Numerical Methods in Fluids,2006,52(6): 679-705.