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

B Bradshaw-Hajek; S Miklavcic; Dale Ward

doi:10.1016/j.cam.2012.06.009

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

B Bradshaw-Hajek, S Miklavcic, Dale Ward

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	389-402
Number of pages	14
Journal	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume	237
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2012.06.009
Publication status	Published - 1 Jan 2013

Keywords

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

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10.1016/j.cam.2012.06.009

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

abstract = "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.",

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AU - Bradshaw-Hajek, B

AU - Miklavcic, S

AU - Ward, Dale

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Y1 - 2013/1/1

N2 - 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.

AB - 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.

KW - BVPs

KW - EDEM

KW - Elliptic operators

KW - Free boundary problem

KW - Level Set Method

KW - Stokes equation

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DO - 10.1016/j.cam.2012.06.009

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EP - 402

JO - JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

JF - JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

IS - 1

ER -

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

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Keywords

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