表征体元尺度渗流的离散统一动理学格式

doi:10.19596/j.cnki.1001-246x.7876

计算物理 ›› 2019, Vol. 36 ›› Issue (4): 386-394.DOI: 10.19596/j.cnki.1001-246x.7876

表征体元尺度渗流的离散统一动理学格式

陈玺君, 郭照立

华中科技大学煤燃烧国家重点实验室, 武汉 430074

收稿日期:2018-04-08 修回日期:2018-06-12 出版日期:2019-07-25 发布日期:2019-07-25
通讯作者: 郭照立,E-mail:zlguo@hust.edu.cn
作者简介:陈玺君(1994-),男,硕士,研究基于离散统一动理学格式的多孔介质单相流动,E-mail:xjchen@hust.edu.cn

Discrete Unified Gas Kinetic Scheme for Porous Media Flow at Representative Elementary Volume Scale

CHEN Xijun, GUO Zhaoli

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2018-04-08 Revised:2018-06-12 Online:2019-07-25 Published:2019-07-25

摘要/Abstract

摘要： 结合表征体元尺度的通用渗流模型，提出离散统一动理学格式（DUGKS）渗流方法，分别用均匀网格和非均匀网格计算二维Poiseuille、Couette、方腔流等经典渗流问题，检验DUGKS渗流方法的有效性和非均匀网格应用的优势，将DUGKS渗流方法应用到裂缝系统中.

关键词: 多孔介质流动, 表征体元尺度, 离散统一动理学格式

Abstract: DUGKS is extended to model porous media flow at representative elementary volume scale combined with generalized porous media model. It is verified by several two-dimensional classical problems:Poiseuille flow, Couette flow and cavity flow. Effectiveness of DUGKS for porous media flow is tested and advantage of DUGKS in grid flexibility is demonstrated. A fracture system is modeled by DUGKS for porous media flow.

Key words: porous media flow, representative elementary volume scale, DUGKS

中图分类号:

O357.3

陈玺君, 郭照立. 表征体元尺度渗流的离散统一动理学格式[J]. 计算物理, 2019, 36(4): 386-394.

CHEN Xijun, GUO Zhaoli. Discrete Unified Gas Kinetic Scheme for Porous Media Flow at Representative Elementary Volume Scale[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(4): 386-394.

参考文献

[1] INGHAM D B, POP I. Transport phenomena in porous media[M]. Elsevier, 1998.
[2] BRINKMAN H. A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles[J]. Applied Scientific Research, 1949, 1(1):27-34.
[3] VAFAI K, TIEN C. Boundary and inertia effects on flow and heat transfer in porous media[J]. International Journal of Heat and Mass Transfer, 1981, 24(2):195-203.
[4] WHITAKER S. The Forchheimer equation:A theoretical development[J]. Transport in Porous Media, 1996, 25(1):27-61.
[5] NITHIARASU P, SEETHARAMU K, SUNDARARAJAN T. Natural convective heat transfer in a fluid saturated variable porosity medium[J]. International Journal of Heat and Mass Transfer, 1997, 40(16):3955-3967.
[6] KARIMIFARD M, CHARRIERMOJTABI M C, VAFAI K. Non-Darcian effects on double-diffusive convection within a porous medium[J]. Numerical Heat Transfer Part A:Applications, 1997, 31(8):837-852.
[7] JUE T C. Analysis of heat and fluid flow in partially divided fluid saturated porous cavities[J]. Heat and Mass Transfer, 2000, 36(4):285-294.
[8] 郭照立, 郑楚光. 格子Boltzmann方法的原理及应用[M]. 北京:科学出版社, 2009.
[9] CHEN S, DOOLEN G D. Lattice Boltzmann method for fluid flows[J]. Annual Review of Fluid Mechanics, 1998, 30(1):329-364.
[10] SUCCI S. The lattice Boltzmann equation:For fluid dynamics and beyond[M]. Oxford University Press, 2001.
[11] GUO Z, ZHAO T. Lattice Boltzmann model for incompressible flows through porous media[J]. Physical Review E, 2002, 66(3):036304.
[12] ZARGHAMI A, BISCARINI C, SUCCI S, et al. Hydrodynamics in porous media:A finite volume lattice Boltzmann study[J]. Journal of Scientific Computing, 2014, 59(1):80-103.
[13] GUO Z, XU K, WANG R. Discrete unified gas kinetic scheme for all Knudsen number flows:Low-speed isothermal case[J]. Physical Review E, 2013, 88(3):033305.
[14] GUO Z, WANG R, XU K. Discrete unified gas kinetic scheme for all Knudsen number flows Ⅱ:Thermal compressible case[J]. Physical Review E, 2015, 91(3):033313.
[15] XU K. A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method[J]. Journal of Computational Physics, 2001, 171(1):289-335.
[16] ZHU L, GUO Z, XU K. Discrete unified gas kinetic scheme on unstructured meshes[J]. Computers & Fluids, 2016, 127:211-225.
[17] WANG P, ZHU L, GUO Z, et al. A comparative study of LBE and DUGKS methods for nearly incompressible flows[J]. Communications in Computational Physics, 2015, 17(3):657-681.
[18] KANG Q, ZHANG D, CHEN S. Unified lattice Boltzmann method for flow in multiscale porous media[J]. Physical Review E, 2002, 66(5):056307.
[19] ZHU L, WANG P, GUO Z. Performance evaluation of the general characteristics based off-lattice Boltzmann scheme and DUGKS for low speed continuum flows[J]. Journal of Computational Physics, 2017, 333:227-246.
[20] ERGUN S. Fluid flow through packed columns[J]. Chem Eng Prog, 1952, 48:89-94.
[21] WU C, SHI B, CHAI Z, et al. Discrete unified gas kinetic scheme with a force term for incompressible fluid flows[J]. Computers & Mathematics with Applications, 2016, 71(12):2608-2629.
[22] HE X, CHEN S, DOOLEN G D. A novel thermal model for the lattice Boltzmann method in incompressible limit[J]. Journal of Computational Physics, 1998, 146(1):282-300.
[23] HUANG Z, YAO J, WANG Y, et al. Numerical simulation on water flooding development of fractured reservoirs in a discrete-fracture model[J]. Chinese Journal of Computational Physics, 2011, 28(1):41-49.
[24] ZHANG J, HUANG S, CHENG L. Monte Carlo calculation of stable productivity of fractured directional wells in natural fracture reservoirs[J]. Chinese Journal of Computational Physics, 2014, 31(5):567-572.

表征体元尺度渗流的离散统一动理学格式

Discrete Unified Gas Kinetic Scheme for Porous Media Flow at Representative Elementary Volume Scale

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	王俊捷, 寇继生, 蔡建超, 潘益鑫, 钟振. 基于Tolman长度的Lucas-Washburn渗吸模型改进及数值模拟[J]. 计算物理, 2021, 38(5): 521-533.
[2]	邹兴, 陈松泽, 郭照立. 精细平衡气体动理学格式[J]. 计算物理, 2020, 37(6): 653-666.
[3]	曾伟, 陈松泽, 郭照立. 气体动理学格式模拟多孔介质流动的可行性[J]. 计算物理, 2019, 36(5): 551-558.
[4]	刘福平, 王安玲, 杨长春. 地层渗透参数反演计算[J]. 计算物理, 2013, 30(6): 879-885.
[5]	张娜, 姚军, 黄朝琴, 王月英. 多孔介质两相流的局部守恒有限元分析[J]. 计算物理, 2013, 30(5): 667-674.
[6]	王华龙, 柴振华, 郭照立. 致密多孔介质中气体渗流的格子Boltzmann模拟[J]. 计算物理, 2009, 26(3): 389-395.
[7]	侯健, 李振泉, 王玉斗, 陈月明. 考虑扩散和吸附作用的聚合物驱替过程渗流数值模拟[J]. 计算物理, 2003, 20(3): 239-244.
[8]	刘曰武, 周富信, 闫广武. Lattice Boltzmann方法模拟多孔介质Klinkenberg效应[J]. 计算物理, 2003, 20(2): 157-160.
[9]	刘福平, 杨长春. 孔隙度敏感系数的数值计算[J]. 计算物理, 2003, 20(1): 37-43.
[10]	阎广武, 胡守信, 施卫平. 用Latice Boltzmann方法确定多孔介质的渗透率[J]. 计算物理, 1997, 14(1): 63-67.
[11]	孔祥言, 鹿蓬勃, 王晓冬. 矩形截面多孔介质腔体中对流分叉的有限差分研究[J]. 计算物理, 1997, 14(1): 99-105.
[12]	蔡越虹, 蔡宗熹, 张庆合. 带有垂直裂缝定压油气藏模型的数值解[J]. 计算物理, 1995, 12(3): 407-414.