曲壁面两相流的简单扩散界面浸没边界法

周锦翔; 肖鸿威; ADNAN Khan; 牛小东

doi:10.7638/kqdlxxb-2022.0133

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

曲壁面两相流的简单扩散界面浸没边界法

研究论文 | 更新时间：2026-05-28

- 曲壁面两相流的简单扩散界面浸没边界法
- A simple diffuse interface immersed-boundary scheme for binary flows with curved boundaries
- 空气动力学学报 2023年41卷第8期页码：97-106
- 作者机构：
  
  1. 汕头大学工学院,汕头,515063
  2. 汕头大学智能制造技术教育部重点实验室,汕头,515063
- 作者简介：
  
  周锦翔，男，湖北武汉人，研究方向：格子玻尔兹曼方法、多相流. E-mail：20jxzhou4@stu.edu.cn
  肖鸿威，硕士研究生，主要研究方向：格子玻尔兹曼方法、多相流. E-mail：15hwxiao@stu.edu.cn
  牛小东*，教授，主要研究方向：格子玻尔兹曼方法、多相流. E-mail：xdniu@stu.edu.cn
- 基金信息：
  
  国家自然科学基金（12172203，12172203）;广东省科技专项基金项目-汕头市重大科技专项（2019ST102）
- DOI：10.7638/kqdlxxb-2022.0133
  中图分类号： O359
- 纸质出版：2023
- 稿件说明：
移动端阅览
周锦翔, 肖鸿威, ADNAN Khan, 等. 曲壁面两相流的简单扩散界面浸没边界法[J]. 空气动力学学报, 2023, 41(8): 97−106.

ZHOU Jinxiang, XIAO Hongwei, ADNAN Khan, et al. A simple diffuse interface immersed-boundary scheme for binary flows with curved boundaries[J]. 2023, 41(8): 97-106.
周锦翔, 肖鸿威, ADNAN Khan, 等. 曲壁面两相流的简单扩散界面浸没边界法[J]. 空气动力学学报, 2023, 41(8): 97−106. DOI： 10.7638/kqdlxxb-2022.0133

ZHOU Jinxiang, XIAO Hongwei, ADNAN Khan, et al. A simple diffuse interface immersed-boundary scheme for binary flows with curved boundaries[J]. 2023, 41(8): 97-106. DOI： 10.7638/kqdlxxb-2022.0133.

摘要

针对在欧拉-拉格朗日网格框架下曲边界上的两相流润湿边界条件实施问题，本文提出了一种简单扩散界面浸没边界法。在此方法的框架下，静止和移动曲边界的湿润边界条件都可以采用平板边界方式处理。在该方法中，我们在实际边界内外一个拉格朗日网格间距处添加了两层虚拟贴体拉格朗日网格，并通过插值得到三层拉格朗日点上的序参数，从而得到实际的曲边界润湿条件。该方案实施思路简单，不仅适用于静止曲边界，还适用于复杂的运动曲边界。为了验证该方法的有效性，本文在广义守恒相场格子玻尔兹曼方法（LBM）框架下，模拟了静态液滴在圆柱上的铺展、动态液滴撞击圆柱、圆柱在水池中沉降三个问题。结果表明该方法能够有效地模拟曲面上的两相流动，具有良好的精度、鲁棒性和质量守恒性。

Abstract

In this paper

a simple diffuse interface immersed-boundary scheme is developed for binary flows with curved boundaries under the frame of Euler-Lagrangian meshes. By this mean

the wetting boundary conditions (WBC) for stationary and moving curved boundaries can also be dealt in a similar manner as the flat boundaries. The main idea is cultivated by introducing two virtual layers of Lagrangian grid inside and outside the exact curved boundary with one interval of two neigboring lagrangian points

and the WBC is realized by the order parameters at the Lagrangian points

which are interpolated from the Euler grids. This scheme has the advantage of simple implication

it can successfully accommodate both the stationery and complex moving curved boundaries along with good accuracy and mass conservation property. A lattice Boltzmann method (LBM) framework is developed to incorporate the proposed immersed-boundary scheme. To test the present method

several binary flow problems are simulated. The numerical results are compared with theoretical and experimental results from literature which showed that the method can easily and efficiently simulate two-phase flows on the curved surfaces with high accuracy and mass conservation properties.

关键词

Keywords

references

PESKIN C S. Flow patterns around heart valves: a numerical method[J]. Journal of Computational Physics, 1972, 10(2): 252-271. DOI:10.1016/0021-9991(72)90065-4[LinkOut]

WU J, SHU C. Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications[J]. Journal of Computational Physics, 2009, 228(6): 1963-1979. DOI:10.1016/j.jcp.2008.11.019[LinkOut]

REN W W, SHU C, WU J, et al. Boundary condition-enforced immersed boundary method for thermal flow problems with Dirichlet temperature condition and its applications[J]. Computers Fluids, 2012, 57: 40-51. DOI:10.1016/j.compfluid.2011.12.006[LinkOut]

HU Y, YUAN H Z, SHU S, et al. An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using an iterative technique[J]. Computers Mathematics With Applications, 2014, 68(3): 140-155. DOI:10.1016/j.camwa.2014.05.013[LinkOut]

NIU X D, SHU C, CHEW Y T, et al. A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows[J]. Physics Letters A, 2006, 354(3): 173-182. DOI:10.1016/j.physleta.2006.01.060[LinkOut]

WANG Z L, FAN J R, LUO K, et al. Immersed boundary method for the simulation of flows with heat transfer[J]. International Journal of Heat and Mass Transfer, 2009, 52(19-20): 4510-4518. DOI:10.1016/j.ijheatmasstransfer.2009.03.048[LinkOut]

KIM J, CHOI H. An immersed-boundary finite-volume method for simulation of heat transfer in complex geometries[J]. KSME International Journal, 2004, 18(6): 1026-1035. DOI:10.1007/BF02990875[LinkOut]

PACHECO J R, PACHECO-VEGA A, RODIĆ T, et al. Numerical simulations of heat transfer and fluid flow problems using an immersed-boundary finite-volume method on NonStaggered grids[J]. Numerical Heat Transfer, Part B: Fundamentals, 2005, 48(1): 1-24. DOI:10.1080/10407790590935975[LinkOut]

PACHECO-VEGA A, PACHECO J R, RODIĆ T. A general scheme for the boundary conditions in convective and diffusive heat transfer with immersed boundary methods[J]. Journal of Heat Transfer, 2007, 129(11): 1506-1516.

ZHANG N, ZHENG Z C, ECKELS S. Study of heat-transfer on the surface of a circular cylinder in flow using an immersed-boundary method[J]. International Journal of Heat and Fluid Flow, 2008, 29(6): 1558-1566. DOI:10.1016/j.ijheatfluidflow.2008.08.009[LinkOut]

HU Y, LI D C, SHU S, et al. An efficient immersed boundary-lattice boltzmann method for the simulation of thermal flow problems[J]. Communications in Computational Physics, 2016, 20(5): 1210-1257. DOI:10.4208/cicp.090815.170316a[LinkOut]

BRENNEN C E. Fundamentals of Multiphase Flow[M]. Cambridge: Cambridge University Press, 2005.

DING H, SPELT P D M. Wetting condition in diffuse interface simulations of contact line motion[J ] . Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2007, 75(4 Pt 2): 046708. DOI: 10.1103/PhysRevE.75.046708

SANJEEVI S K P, ZARGHAMI A, PADDING J T. Choice of no-slip curved boundary condition for lattice Boltzmann simulations of high-Reynolds-number flows[J]. Physical Review E, 2018, 97(4-1): 043305. DOI:10.1103/PhysRevE.97.043305[PubMed]

YU Y, LI Q, WEN Z X. Modified curved boundary scheme for two-phase lattice Boltzmann simulations[J]. Computers Fluids, 2020, 208: 104638. DOI:10.1016/j.compfluid.2020.104638[LinkOut]

LIU H R, MU K, DING H. Simulation of incompressible multiphase flows with complex geometry using etching multiblock method[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1405-1418. DOI:10.1007/s10483-016-2101-8[LinkOut]

AKAI T, BIJELJIC B, BLUNT M J. Wetting boundary condition for the color-gradient lattice Boltzmann method: validation with analytical and experimental data[J]. Advances in Water Resources, 2018, 116: 56-66. DOI:10.1016/j.advwatres.2018.03.014[LinkOut]

HE Q, LI Y J, HUANG W F, et al. Phase-field-based lattice Boltzmann model for liquid-gas-solid flow[J]. Physical Review E, 2019, 100(3): 033314. DOI:10.1103/physreve.100.033314[LinkOut]

ZHANG S T, ZHOU J X, XIAO H W, et al. A generalized conservative phase-field simplified lattice Boltzmann method for miscible and immiscible ternary flows with large density ratio[J]. International Journal of Multiphase Flow, 2022, 149: 103978. DOI:10.1016/j.ijmultiphaseflow.2022.103978[LinkOut]

LEE T, LIN C L. A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio[J]. Journal of Computational Physics, 2005, 206(1): 16-47. DOI:10.1016/j.jcp.2004.12.001[LinkOut]

FAKHARI A, GEIER M, BOLSTER D. A simple phase-field model for interface tracking in three dimensions[J]. Computers Mathematics With Applications, 2019, 78(4): 1154-1165. DOI:10.1016/j.camwa.2016.08.021[LinkOut]

FAKHARI A, BOLSTER D. Diffuse interface modeling of three-phase contact line dynamics on curved boundaries: a lattice Boltzmann model for large density and viscosity ratios[J]. Journal of Computational Physics, 2017, 334: 620-638. DOI:10.1016/j.jcp.2017.01.025[LinkOut]

YARIN A L. DROP IMPACT DYNAMICS: splashing, spreading, receding, bouncing…[J]. Annual Review of Fluid Mechanics, 2006, 38: 159-192. DOI:10.1146/annurev.fluid.38.050304.092144[LinkOut]

RIOBOO R, BAUTHIER C, CONTI J, et al. Experimental investigation of splash and crown formation during single drop impact on wetted surfaces[J]. Experiments in Fluids, 2003, 35(6): 648-652. DOI:10.1007/s00348-003-0719-5[LinkOut]

EGGERS J, FONTELOS M, JOSSERAND C, et al. Drop dynamics after impact on a solid wall: theory and simulations[J]. Physics of Fluids, 2010, 22(6): 62101-1.

DING H, THEOFANOUS T. The inertial regime of drop impact on an anisotropic porous substrate[J]. Journal of Fluid Mechanics, 2012, 691: 546-567

KHAN A, ZHANG S T, LI Q P, et al. Wetting dynamics of a sessile ferrofluid droplet on solid substrates with different wettabilities[J]. Physics of Fluids, 2021, 33(4): 042115. DOI:10.1063/5.0047553[LinkOut]

LIU H R, DING H. A diffuse-interface immersed-boundary method for two-dimensional simulation of flows with moving contact lines on curved substrates[J]. Journal of Computational Physics, 2015, 294: 484-502. DOI:10.1016/j.jcp.2015.03.059[LinkOut]

VELLA D, LEE D G, KIM H Y. Sinking of a horizontal cylinder[J]. Langmuir: the ACS Journal of Surfaces and Colloids, 2006, 22(7): 2972-2974.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于神经网络与遗传算法的热气防冰结构优化

个体间距对多扑翼气动噪声的影响特性

类HyTRV升力体阻尼/交叉动导数特性分析

风扇叶片颗粒侵蚀特性的多因素分析与模拟

热防护材料动态烧蚀形貌结构光视觉测量技术