A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface

被引：1

作者：

Bradshaw-Hajek, B. H. ^{[1
]}

Miklavcic, S. J. ^{[1
,2
]}

Ward, D. A. ^{[1
]}

机构：

[1] Univ S Australia, Sch Math & Stat, Mawson Lakes, SA 5095, Australia

[2] Linkoping Univ, Dept Sci & Technol, S-60176 Norrkoping, Sweden

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2013年 / 237卷 / 01期

基金：

瑞典研究理事会;

关键词：

BVPs; Elliptic operators; EDEM; Stokes equation; Level Set Method; Free boundary problem; TREFFTZ METHOD;

D O I：

10.1016/j.cam.2012.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Extended-Domain-Eigenfunction-Method (EDEM) is combined with the Level Set Method in a composite numerical scheme for simulating a moving boundary problem. The liquid velocity is obtained by formulating the problem in terms of the EDEM methodology and solved using a least square approach. The propagation of the free surface is effected by a narrow band Level Set Method. The two methods both pass information to each other via a bridging process, which allows the position of the interface to be updated. The numerical scheme is applied to a series of problems involving a gas bubble submerged in a viscous liquid moving subject to both an externally generated flow and the influence of surface tension. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：389 / 402

页数：14

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