A higher-order accurate surface tension modelling volume-of-fluid scheme for 2D curvilinear meshes

被引:7
作者
Ilangakoon, Niran A. [1 ]
Malan, Arnaud G. [1 ]
Jones, Bevan W. S. [1 ]
机构
[1] Univ Cape Town, Dept Mech Engn, Private Bag X3, ZA-7701 Cape Town, South Africa
基金
新加坡国家研究基金会;
关键词
Surface tension; Higher order; Curvilinear meshes; Curvature; Volume of fluid; Interface reconstruction; INTERFACE RECONSTRUCTION METHOD; PARABOLIC RECONSTRUCTION; CONSERVATION ENFORCEMENT; SET METHOD; VOF METHOD; CURVATURE; TRACKING; SOLVER; GRIDS; INITIALIZATION;
D O I
10.1016/j.jcp.2020.109717
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper proposes a higher-order accurate curvature calculation method for volume-of-fluid (VOF) based surface tension modelling on 2D curvilinear meshes. The scheme extends the interface reconstruction component of the height function (HF) method to curvilinear meshes in 2D. Linear reconstructions are computed in each column overlapping the interface, which results in a piecewise-linear (PLIC) representation of the free-surface. This is done in a volume conservative manner by employing a novel sweep-line algorithm. The interface curvature is then computed analytically by fitting either second- or fourth-order polynomials to local stencils of PLIC facets. Formal second- and fourth-order accuracy of interface curvature is demonstrated by comparing numerical results with a variety of analytical interface definitions. The curvature algorithm is implemented into a balanced-force continuum-surface-force surface tension scheme for variable-density flows. Second- and fourth-order accuracy are again demonstrated for the Laplace pressure jump in the simulation of a stationary bubble with a high liquid-gas density ratio. Lastly, second-order accuracy is demonstrated in computing the frequency of an inviscid oscillating droplet in zero gravity. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数:27
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