Numerical integration of implicit functions for the initialization of the VOF function

被引：24

作者：

Bna, S. ^{[1
]}

Manservisi, S. ^{[1
]}

Scardovelli, R. ^{[1
]}

Yecko, P. ^{[2
]}

Zaleski, S. ^{[3
,4
]}

机构：

[1] Univ Bologna, DIN Lab Montecuccolino, I-40136 Bologna, Italy

[2] Montclair Univ, Dept Math, Montclair, NJ USA

[3] Univ Paris 06, Inst Jean Rand dAlembert IJLRdA, UMR 7190, F-75252 Paris 05, France

[4] CNRS, F-75252 Paris 05, France

来源：

COMPUTERS & FLUIDS | 2015年 / 113卷

关键词：

Implicit functions; Numerical integration; VOF function; SURFACE;

D O I：

10.1016/j.compfluid.2014.04.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical method of initializing cell volume fraction demarcated by implicitly defined fluid interfaces is presented. Each cell of the computational domain is examined for the presence of the reference phase. When a cell is not full or empty, limits are found that allow volume fraction to be computed by numerical integration. The method enlists a number of algorithms including root finding and minimum search on an oriented segment, a preconditioned conjugate gradient minimum search on a cell face and a double Gauss-Legendre integration with a variable number of nodes, among others. Practical multi-phase fluid examples in two- and three-dimensions are presented to demonstrate the accuracy and robustness of the method. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：42 / 52

页数：11

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