A critical comparison of surface tension models for the volume of fluid method

被引:56
作者
Baltussen, M. W. [1 ]
Kuipers, J. A. M. [1 ]
Deen, N. G. [1 ]
机构
[1] Eindhoven Univ Technol, Dept Chem Engn & Chem, Multiphase Reactors Grp, NL-5612 AZ Eindhoven, Netherlands
关键词
Multiphase flow; Multiscale; Volume of fluid model; Bubble columns; Hydrodynamics; Surface tension modeling; FRONT-TRACKING; LEVEL-SET; NUMERICAL-SIMULATION; BUBBLES; RECONSTRUCTION; VELOCITIES; BEHAVIOR; SHAPES; SOLVER; FORCE;
D O I
10.1016/j.ces.2013.12.045
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In many different fields of research, the interactions between two immiscible fluids are of importance. To study these flows in industrial equipment, a multi-scale modeling approach is often used In this approach, the smallest scale models apply detailed information in the form of closure equations for the larger scale models, which can model complete industrial equipment This paper will focus on the improvement of the smallest scale model; direct numerical simulations employing the Volume of Fluid model. In this model, mass is inherently conserved because of the surface treatment, but this treatment also poses a challenge in calculating the surface properties like the surface tension. In this paper, three different surface tension models for the Volume of Fluid were tested: the generally used Continuum Surface Force (CSF) model, the height function model and the novel tensile force method. From the verification tests, it was concluded that both the height function model and the tensile force method are an improvement of the CSF model. The single bubble simulations showed that the height function method works best for small bubble (E-o < 1). This is due to problems with connectivity for the tensile force method. While for the larger bubbles (E-o > 10), the tensile force method is the best functioning surface tension model, because the calculation of the curvature in the height function method uses a stencil in which the distance between two interfaces in the direction of the normal should at least be four grid cells. In all the other tested cases, the height function model and the tensile force method perform equally well. The Morton number changes the ranges for the region of use of the surface tension models slightly when log Mo <= - 7 (the height function model can only be used when Eo <= 2, while the tensile force method can only be used at Eo > 2) and log Mo >= 1 (the height function model can in this region also be used when Eo > 10). (c) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:65 / 74
页数:10
相关论文
共 50 条
[41]   Non-local model for surface tension in fluid-fluid simulations [J].
Howard, Amanda A. ;
Tartakovsky, Alexandre M. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 421
[42]   Dynamic surface tension of complex fluid-fluid interfaces: A useful concept, or not? [J].
Sagis, L. M. C. .
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 222 (01) :39-46
[43]   Implementation of a velocity decomposition method coupled with volume-of-fluid method for simulating free-surface flows [J].
Zhao, J. ;
Zhu, R. C. ;
Zhou, W. J. .
OCEAN ENGINEERING, 2022, 263
[44]   A comparison between Smoothed-Particle Hydrodynamics and RANS Volume of Fluid method in modelling slamming [J].
Sasson, Marcus ;
Chai, Shuhong ;
Beck, Genevieve ;
Jin, Yuting ;
Rafieshahraki, Jalal .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2016, 1 (02) :119-128
[45]   Dynamic stall simulation of a pitching hydrofoil near free surface by using the volume of fluid method [J].
Amini, Y. ;
Kianmehr, B. ;
Emdad, H. .
OCEAN ENGINEERING, 2019, 192
[46]   Comparison of surface tension generation methods in smoothed particle hydrodynamics for dynamic systems [J].
Arai, Erin ;
Tartakovsky, Alexandre ;
Holt, R. Glynn ;
Grace, Sheryl ;
Ryan, Emily .
COMPUTERS & FLUIDS, 2020, 203
[47]   A higher-order accurate surface tension modelling volume-of-fluid scheme for 2D curvilinear meshes [J].
Ilangakoon, Niran A. ;
Malan, Arnaud G. ;
Jones, Bevan W. S. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 420
[48]   A volume of fluid method for simulating fluid/fluid interfaces in contact with solid boundaries [J].
Mahady, Kyle ;
Afkhami, Shahriar ;
Kondic, Lou .
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 294 :243-257
[49]   DIFFUSE INTERFACE SURFACE TENSION MODELS IN AN EXPANDING FLOW [J].
Liu, Wangyi ;
Bertozzi, Andrea ;
Kolokolnikov, Theodore .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (01) :387-418
[50]   Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method [J].
Raeini, Ali Q. ;
Blunt, Martin J. ;
Bijeljic, Branko .
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (17) :5653-5668